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    1. III. k+t

    a) None

    b) I only

    c) II only

    d) III only

    e) I,II and III

    Solution:

    First, you must find out whether k

    and t are odd or even. This problem

    is all about the results of performing

    operations on even and odd

    numbers.

    Given that k^2 - t^2 is an odd

    number, then you know that k^2 is

    even, and t^2 is odd. Of course, it

    could be reverse, but it shouldn't

    matter because of commutative and

    associative laws.

    So, you then know that k must be

    even, and t must be odd. Even *

    Even = Even, and Odd * Odd = Odd.

    Now, just go through the statements:

    1: Even + Odd + Even = Odd

    2: Even*Even + Even*Even*Odd +

    Odd*Odd = Even + Even + Odd =

    Odd

    3: Even + Odd = Odd

    Answer then is None (A).

    2. A contractor combined x tons of a

    gravel mixture than contained 10%

    gravel G, by weight, with y tons of a

    mixture that contained 2% gravel G,

    by weight, to produce z tons of a

    mixture that was 5% gravel G, by

    weight. What is the value of x?

    (1) Y=10

    (2) Z=16

    Solution:

    3. Mixture 1 : 10% gravel and quantity

    : x tonnes

    Therefore amount of gravel : 0.1x

    Mixture 2 : 2% gravel and y tonnes

    Amount of gravel : 0.02y

    They are mixed to produce a mixture

    of z tonnes that is 5% gravel

    Hence, 0.1x+0.02y=0.05z

    We need x.

    Statement 1

    y=10

    Now x+y=zx+10=z

    INTANGIBALE ASSSETS

    CAN BE TREATED IN THE

    SAME WAY AS FIXEDASSETS.

    THEY ARE NEEDED FOR

    OPERATION AND ARE

    ACQUIRED WITH

    ENTERPRISE FUNDS.

    EXAMPLE:

    PATENTS CAPITALIZED

    & MAY BE

    EXPENSED

    OVER A

    PERIOD OF

    TIME

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    Putting it in the equation

    4. Right triangle PQR is to be

    constructed in the xy-plane so that

    the right angle is at P and PR is

    parallel to the x-axis. The x and y

    coordinates of P, Q and R are to beintegers that satisfy the inequalities -

    4

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    digit is zero or prime AND 3rd digit is

    zero or prime AND 4th digit is zero

    or prime AND 5th digit is zero or

    prime)

    This is equal to P(1st digit is zero or

    prime) x P(2nd digit is zero or prime)x P(3rd digit is zero or prime) x P(4th

    digit is zero or prime) x P(5th digit is

    zero or prime)

    So, we get 1/2 x 1/2 x 1/2 x 1/2 x 1/2

    = 1/32

    Contrary to popular belief, credit

    cards are a form of money even

    though people often refer to

    them as "plastic money. " Credit card

    users are actually taking out a loan

    and sooner or later, they will have to

    pay the bill for all those things they

    have charged. They are buying

    something now and agreeing to pay

    for it at a later date with money,

    usually a check.

    Many banks issue credit cards, even

    to people who aren't regular

    customers. Before issuing you a

    credit card, a bank will require you to

    complete an application form and will

    examine your credit record to see if

    you have a history of paying back

    your debts on time. Many people run

    up credit card bills that are too big to

    pay off every month. When thathappens customers must pay a

    monthly finance charge that can run

    anywhere from 10 percent to 24

    percent a year. In addition, many

    banks and other companies that

    issue credit cards charge their

    cardholders an annual fee usually

    $20 to $50 a year. Even customers

    who pay off their entire credit card bill

    every month still have to pay theannual fee. Banks and credit card

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    companies also charge merchants a

    fee for making the credit card service

    available. Finance charges, annual

    fees, and merchant fees have

    become an important source of profit

    for banks.

    Finally there's another plastic card

    that resembles a credit card in

    appearance but is actually very

    different in functionthe debit card.

    A debit card is much more like an

    ATM card than a credit card. When

    someone uses a debit card at the

    gas pump or at a store, the amount

    of the purchase is electronically

    deducted from the user's bank

    balance. There's no monthly bill

    because the amount of cash

    purchase is deducted almost

    immediately from the users account.

    What Happens to

    Your Money After

    You Deposit it in

    Your Bank

    Account?

    The bank begins by adding the

    amount you're depositing to the

    amount that's already in your

    account (your existing balance).

    Your deposit and new balance are

    entered into your "passbook" and into

    the bank's computer system. The

    money you deposited is mixed in with

    all the other cash the bank received

    that day.

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    When you and other customers

    deposit money in a bank, the bank

    puts most of it to work. Part of the

    money is set aside and held inreserve, but much of the rest is

    loaned to people who need to borrow

    money in order to buy houses and

    cars, start or expand businesses, buy

    farm equipment or to plant crops, or

    do any of the other things that require

    people to borrow money.

    Interest - Compounding

    When you keep your savings in a

    bank, the bank pays you extra

    money, which is called interest. The

    interest is added to your account on

    a regular basisusually once a

    month or once every three months

    (quarterly). Compounded interestmeans that interest is added to your

    balance (usually quarterly), then the

    next quarter the interest is computed

    on your money deposited plus the

    last quarter interest.

    Example: New Balance = $500. 00

    Interest rate = 5% Annual = $25. 00

    New Balance = $500. 00Interest rate = 5% Compounded

    quarterly = $25. 72

    You would earn $. 72 more with the

    interest compounded quarterly and

    the annual yield rate would be 5.

    14%. Banks must disclose to you if

    the savings account is compounded

    and how often it is compounded andgive you the annual yield rate as a

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    result of the compounding. Some

    banks may compound interest as

    often as daily. The shorter the

    compound period, the higher the

    yield rate would be.

    There is another side to interest.

    When someone borrows money from

    a bank, the bank charges them

    interest and it charges borrowers a

    higher rate than it pays savers. For

    example, it might pay savers 5% and

    charge borrowers 8% on up to as

    high as 25% imposed on some bank

    credit cards.

    A bank is a business and like other

    businesses, banks sometimes fail.

    But why should banks go out of

    business? Sometimes banks fail

    because the people who run them

    make poor business decisions such

    as expanding too quickly, pushing

    too much money into one type of

    loan, or using bad judgment makingloans. Sometimes banks fail

    because of fraud. Maybe the

    president makes questionable loans

    to friends or hires unqualified people

    and pay them huge salaries.

    Things like that happen The bank

    begins by adding the amount you're

    depositing to the amount that'salready in your

    account (your existing balance).

    Your deposit and new balance are

    entered into your "passbook" and into

    the bank's computer system. The

    money you deposited is mixed in with

    all the other cash the bank received

    that day.

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    When you and other customers

    deposit money in a bank, the bank

    puts most of it to work. Part of the

    money is set aside and held in

    reserve, but much of the rest is

    loaned to people who need to borrowmoney in order to buy houses and

    cars, start or expand businesses, buy

    farm equipment or to plant crops, or

    do any of the other things that require

    people to borrow money.

    Interest - Compounding

    When you keep your savings in a

    bank, the bank pays you extra

    money, which is called interest. The

    interest is added to your account on

    a regular basisusually once a

    month or once every three months

    (quarterly). Compounded interest

    means that interest is added to your

    balance (usually quarterly), then thenext quarter the interest is computed

    on your money deposited plus the

    last quarter interest.

    Example: New When you fill in the

    blank spaces on one of your checks,

    you are telling your bank how much

    of your money you want to transfer

    and to whom you want it transferred.

    You authorize the transfer by signing

    y our check. One reason why checks

    are so popular is that people can use

    a cancelled check to prove they paid

    a bill. In most cases a cancelled

    check is as good as a receipt

    because it bears the endorsements

    of all the persons, banks, companies,

    or other organizations that have

    handled it. For example if thelandlord claims you didn't pay your

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    rent, all you need to do is find your

    cancelled check and point out that it

    was endorsed by your landlord and

    your landlord's bank.

    Tracing a Check

    Through the

    Federal Reserve's

    Check Collection

    Network

    1. Your Aunt sent you a $20Check for your birthday.

    2. You deposit the check in your

    savings account at your bank.

    3. Your bank endorses the check

    and sends it to its Federal ReserveBank.

    4. The Federal Reserve Bank

    gives your bank credit for the

    check by adding the amount of

    the check to your banks

    reserve account or clearing

    balance.

    5. The Federal Reserve

    Transportation system flies the check

    to your Aunt's Bank Federal

    Reserve Bank.

    6. That Federal Reserve Bank

    forwards the check to your Aunt's

    bank and deducts the

    appropriate amount from thatbank's reserve account.

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    7. Your Aunt's bank deducts the

    $20 from your Aunt's checking

    account.

    Check 21 is a sweeping new federal

    law effective October 28, 2004 that

    takes away your ability to get back

    your original paper checks. Under

    this law, consumers could be more

    likely to bounce checks and may find

    themselves paying higher bank fees.

    The complicated new law gives you

    some rights, but those rights dependon a variety of factors, including how

    the merchant and the bank decide to

    process your check. Visit the FRB's

    web site on the new law:http://www.

    federalreserve.

    gov/paymentsystems/truncation/.

    What is Electronic

    Banking?Electronics and computers have

    made banking an around-the-clock

    business. You can now do much of

    your banking even when your bank is

    closed. You no longer need to plan

    your schedule around your banks

    business hours.

    Automated Teller Machines (ATMs)

    are computers that are much like

    limited-service bank branches. You

    can use them to make a withdrawal,

    make a deposit, make a payment,

    transfer money from one account to

    another, or check your accountbalance. In some cases, ATMs of

    http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/http://www.federalreserve.gov/paymentsystems/truncation/
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    different banks are linked together so

    you can use them when you travel to

    a different part of town or even to

    another state. All you need to use an

    ATM is a plastic card from your bank

    and your own personal passwordcalled a PIN number.

    You can also have your employer

    electronically deposit your pay

    directly to your bank account each

    payday. Direct deposit is also

    popular among people who receive

    Social Security checks or pension

    checks because it saves them the

    bother of standing in line at the bank,

    battling bad weather, or worrying

    about being robbed on the way home

    from the bank

    Another electronic banking

    service is called electronic funds

    transfer or EFT. By using EFT, a

    bank can transfer large amounts

    of money to another bank by

    wiring an electronic message.

    There is no need to write a check

    or load up an armored car with

    cash and there's no long wait for

    the money to be moved.

    Electronic transfers take only an

    instant. An electronic message

    instructs a computer to deduct a

    certain amount 2. You depositthe check in your savings account

    at your bank.

    3. Your bank endorses the check

    and sends it to its Federal Reserve

    Bank.

    4. The Federal Reserve Bank

    gives your bank credit for the

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    check by adding the amount of

    the check to your banks

    reserve account or clearing

    balance.

    5. The Federal Reserve

    Transportation system flies the check

    to your Aunt's Bank Federal

    Reserve Bank.

    6. That Federal Reserve Bank

    forwards the check to your Aunt's

    bank and deducts the

    appropriate amount from that

    bank's reserve account.

    7. Your Aunt's bank deducts the

    $20 from your Aunt's checking

    account.

    Check 21 is a sweeping new federal

    law effective October 28, 2004 that

    takes away your ability to get backyour original paper

    minimum balance) in your NOW

    account in order to keep earning

    interest. Only non-business

    customers may open NOW accounts,

    businesses must use regular

    checking accounts.

    Money market deposit accounts

    usually pay a higher rate of interest

    and require a higher minimum

    balance (usually $2,500).

    Certificates of deposit (CDs) are

    savings deposits that require a

    customer to keep a certain amount of

    money in the bank for a fixed periodof time (example: $1,000 for two

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    years). As a rule the rate if interest

    your money earns is higher if you

    agree to keep your money on deposit

    for a longer period of time. (That's

    because banks can plan on using

    your money for a longer period oftime.) Banks do not offer check-

    writing privileges on certificates of

    deposit.

    Finally, banks don't always call their

    accounts by the same names. Often

    they choose distinctive names in

    hopes of attracting customer. But

    sometimes there can be a real

    difference between one bank's

    accounts and another's, so shop

    around.

    homebuyers. Most of the loans went

    to people who didn't make enough

    money to be welcome at traditional

    banks.

    Credit unions began as a 19th-

    century solution to the emergency

    needs of people who were unable to

    borrow money from traditional

    lenders. Before the opening of credit

    unions, ordinary citizens had no

    place to turn when they faced

    unexpected home repairs, medicalexpenses, or other emergencies.

    Credit unions were started by people

    who shared a common bond such as

    working at the same factory,

    belonging to the same house of

    worship, or farming in the same

    community. Members pooled their

    savings and used the money to make

    small loans to one another.

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    Although there are still differences

    between banks and thrifts, they now

    offer many of the same banking

    services to their customers. Most

    commercial banks now compete to

    make car loans, many thrifts havebegun to make commercial loans,

    and some credit unions make loans

    to homebuyers.

    used to be. For starters you should

    shop around to find out which banks

    offer the most competitive services.Some banks charge a monthly fee if

    your account falls below a certain

    level and sometimes that fee can be

    higher than the interest your account

    may earn.

    Some states prohibit banks from

    charging fees on savings accounts

    held by people under 18 or 65 andover. Find out if your state has such

    a law.

    Other things you might want to

    consider:

    Does your bank pay itsdepositors a competitiveinterest rate?

    Is the bank in a convenientlocation and are its businesshours convenient to you?

    Is your deposit fully insuredby the federal government?

    Is the bank a good corporate

    citizen? Does it invest in yourneighborhood?

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    How did Banking

    Begin?No one knows who started the

    world's first bank, but it's safe to saythat banking has it roots in the early

    trading civilizations of the

    Mediterranean ocean. Without trade

    there would have been little need to

    establish banks. Without banks there

    would have been less money to

    finance trading ventures.

    Imagine for a moment that you are amerchant in ancient Greece or

    Phoenicia. You make your living by

    selling to distant ports with boatloads

    of olive oil and spices. You don't

    grow the olive oil and spices yourself;

    you buy them from growers or other

    merchants. If all goes well, you will

    be paid for your cargo when you

    reach your destination, but before

    you can sail, you must have moneyto outfit your ship.

    You find it by seeking out people who

    have money sitting idle. They agree

    to put up the money for your cargo

    and supplies in exchange for a share

    of your profits when you return from

    your voyage. . if you return. The

    people with the idle money areamong the world's first lenders and

    you are among the world's first

    borrowers. You complain that they're

    demanding too large a share of your

    profits. They reply that your voyage

    is perilous and they run a risk of

    losing their entire investment.

    Lenders and borrowers have carried

    on this debate ever since.

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    Today, most people who want to

    borrow money go to banks rather

    than to wealthy individuals. But the

    basic concepts of borrowing and

    lending haven't really changed.

    People don't let you have theirmoney for nothing. It's risky to lend

    money. There's no guarantee that a

    lender will get the money back, even

    if the borrower is an old friend. So

    why lend money? Why take the risk?

    Because lending presents an

    opportunity to make even more

    money. People will often take a

    financial risk if they believe there is a

    good chance of making more money.

    If a bank lends $50,000 to a

    borrower, the bank isn't satisfied to

    just get its $50,000 back. In order to

    make a profit, the bank charges

    interest on the loan. Interest is the

    price borrowers pay for using

    someone else's money. If a loan

    seems risky, the lender will chargemore interest to offset the risk. (If

    you take a bigger risk, you want a

    bigger return). Of course, the

    opportunity to earn lots of interest

    won't mean much if a borrower fails

    to repay a loan. That's why banks

    often refuse to make loans that seem

    too risky.

    Banks also use interest to attract

    savers. After all, people who have

    extra money don't have to put it in the

    bank. They have lots of choices. But

    in addition to all of the different types

    of accounts banks offer depositors,

    the added advantage is being able to

    get to their money quickly.

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    How is a Bank

    Started?The process varies from state to

    state, but here's a simple version of

    what it takes to start a bank.

    1. Individuals get together anddecide to start a bank.

    2. They file an application with the

    federal and state bankingauthorities. In Indiana, it's theIndiana Department of FinancialInstitutions.

    3. People at the state bankingauthority review the application.They look closely at the financialcondition and the character of theapplicants.

    4. After reviewing the application,

    the federal and state banking

    authorities will either approve

    or deny it.

    \living by selling to distant ports with

    boatloads of olive oil and spices.

    You don't grow the olive oil and

    spices yourself; you buy them from

    growers or other merchants. If all

    goes well, you will be paid for your

    cargo when you reach your

    destination, but before you can sail,

    you must have money to outfit your

    ship.

    You find it by seeking out people who

    have money sitting idle. They agree

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    to repay a loan. That's why banks

    often refuse to make loans that seem

    too risky.

    SOURCES

    PROPRIETORS CAPITAL ORIGINAL

    AMOUNT

    INVESTED IN

    ENTERPRISE

    Profit before Taxes

    Depreciation STOCK-COMMON/

    PREFERRED

    AMOUNT

    INVESTED BY

    SHAREHOLDE

    Increase in A/C Payable COST OF PROTOTYPE

    DEVELOPMENT &

    STUDIES FOR IMPROVED

    PRODUCTIO, EFFICIENCY

    & PROCESS

    DEVELOPMENT (COULD

    ALSO BE EXPENSED)

    Increase in Bank Loan RETAINED EARNINGS EARNINGS

    RETAINED

    AFTER

    DISTRIBUTION

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    OF DIVIDENDS

    ACCURED EXPENSES PORTION OF

    SALARIES DUBUT NOT YET

    PAID

    Total Sources

    ACCRUED TAXES PORTION OF

    TAXES DUE

    BUT NOT YETPAID

    APPLICATIONS SHORT-TERM LOANS LOANS TO BE

    REPAID IN

    LESS THAN

    ONE YEAR

    Expenditures for plant/

    equipment

    Repayment of Long-term

    Debt

    LONG-TERM LOAN

    (current portion)

    PORTION OF

    LOAN TERM

    DEBT DUE FO

    PAYMENT

    WITHIN ONE

    YEAR

    Increase in A/C Receivable

    Increase in Inventories

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    Taxes

    Dividends

    Total Applications

    Increase (decrease) in Cash

    RESEARCH AND

    DEVELOPMENT

    (DEFERRED REVENUE EXPENDITURE)

    GOODWILL

    PATENTS, CPOYRIGHTS

    PRE-OPERATING EXPENSES

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    BUSINESS LOSS

    * NONPHYSICAL POOSESSIONS OF AN ENTERPRISE EXPECTED TO YIEL

    A PERIOD OF YEARS

    PETTY CASH

    MONEY IN BANK

    RAW MATERAIL

    SPARE PARTS & CONSUMABLES

    WORK-IN-PROCESS FINISHED PRODUCT (UNSOLD)

    GOODS & SERVICES SOLD BUT NOT YET PAID FOR

    NOTES & DEPOSITS DRAWING INTEREST, ETC

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    INSURANCE PREMIUMS LICENSE FEES

    RENT

    INTEREST ACCRUED

    BUT NOT DUE

    Current Assets

    Cash/ Bank Balance

    Accounts Receivable

    Inventories

    Total Current Assets

    Current Liabilities

    Short-term Loans

    Accounts Payable

    Total Current Liabilities

    Net Current Assets

    Total Assets

    Long-term Liabilities

    Long-term Loan

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    Debenture

    Deposits

    EQUITY & LIABILITIES

    Equity

    Equity Share Capital

    Preference Share Capital

    Retained Earning

    Total Equity

    LIABILITIES

    Equity

    Capital Stock

    Retained Earnings

    Total Equity

    Long-term Liabilities

    Long-term Debt

    Current Liabilities

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    The Going Concern Concept

    ACCOUNTING IS BASED ON ASSUMPTION THAT THE

    ENTERPRISE WILL OPERATE INDEFINITELY

    4) The Cost Concept

    FIXED ASSETS ARE ACCOUNTED FOR AT ACQUISITION COST

    RATHER THAN VALUE THEY COULD BE SOLD FOR

    5) The Dual Aspect Concept

    EVERY (EVENT) TRANSACTION RECORDED AFFECTS AT LEAST

    TWO ITEMS IN A FINANCIAL STATEMENT

    6) The Accrual Concept

    INCOME AND EXPENSES ARISING FROM TRANSACTIONS ARE

    RECORDED IN THE PERIOD IN WHICH THEY OCCUR RATHER

    THAN THE PERIOD IN WHICH PAYMENT IS MADE. SEEKS TO

    MATCH COSTS WITH REVENUES

    The raw material has to be cut to size. This is done with a variety of tools.

    The most common way to cut material is by Shearing (metalworking);

    Special band saws designed for cutting metal have hardened blades and a feed

    mechanism for even cutting. Abrasive cut-off saws, also known as chop saws, are similar to

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    with large piles of inventory. Gear cutting operation was suspected to be the bottleneck. The

    project team further interviewed the operators of the downstream operation, lapping, and

    confirmed that lapping was constantly starving for competed ring set from the cutting operation.

    Accordingly, cutting operation was determined to be the bottleneck and was chosen as the target

    for improvement. Incorporating TOC concept into improvement process enabled the project team

    to select a project that could increase the plant throughput and bottom-line performance.

    (take in Figure 2)

    Value analysis was first performed to determine the various activities in the cutter operation

    that add both customer and operational value to the process (Table 1). The purpose of value

    analysis is to streamline the value chain to reduce all non-value added waste in the system and to

    look for ways to enhance high value-added activities. The machine cycle that includes the cutting

    operation is both a customer and operational value-added activity. Improving the yield of a high-value added activity such as blade cutting would increase the overall capacity of the plant.

    Increasing the gear cutting capacity would have a positive impact on manufacturing system

    throughput. This could be achieved through a reduction of hours required per gear set, which would

    in turn increase the capacity and remove the need for new capacity investments.

    (take in Table 1)

    After confirming gear cutters as the bottleneck, the project team initially discussed purchasing

    additional cutting capacity. The company was using a solvent-cutting device, where the cutting headwas lubricated to increase the shelf life of the cutting blades. Newer technology in this process had

    advanced to dry cutting, a significant increase in the life of the blade, thereby increasing the

    capacity. However, with the capital constraints facing the plant, it was not feasible to upgrade to the

    dry cutting process. As suggested by the TOC concept, the team decided to exploit or maximize

    the utilization of the current technology rather than make new capital investment in additional

    cutting capacity. In other words, the team would proceed to investigate the current performance of

    the solvent-based cutting machines and identifying ways to increase quality and throughput without

    additional capital expenditures.

    The business case for this project was initiated because of the eroding sales revenue, which

    went down by 23% in 2000, while fixed expenses went up by as much as 22% within the same year.

    Management was faced with either shutting down the plant or eliminating the non-value added

    processes to increase capacity without incurring new capital expenditures. The Axle facility had

    some experience in successfully applying Six Sigma to its process improvement. After receiving

    training on TOC, managers decided to combine TOC and Six Sigma to guide their improvement

    effort. They felt that the concept of TOC could provide them with a focus on global system

    improvement. With careful study and planning, an eight-member project team was formed. The

    project team was composed of the plant manager, the controller, two six-sigma certified employees,

    and four operators from the plant. One of the authors of this paper and a student team served as

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    external resources for the project. The team was charged with the responsibility of seeking process

    improvement that would result in a minimum of $175,000 savings per year. This was the minimum

    standard established by the plant for any major process improvement project. The team started by

    reviewing the process map to determine possible bottlenecks in the process. Extensive interviews

    were conducted, and an in-depth observation of the processes was undertaken to identify probable

    causes of inefficiencies in the system. After the extensive investigation, the cutting process was

    singled out as the likely bottleneck operation. The proposed integrated framework was adopted to

    make the improvement. The various stages of the process implementation are discussed below.

    Phase 1 of this integrated framework is identical to both strategies, and its purpose is to

    identify current constraint(s) that block the improvement of global performance, such as meeting

    customer needs or improving system throughput. Accordingly, a specific process is selected for

    improvement. Phases 2 and 3 follow the spirit of TOC by exploring the capacity of the selected

    process. Phase 2 measures the current performance of the process and identifies the root causes

    needed to be corrected for improvement. The two phases of Six Sigma, measure and analyze, are

    involved in this step. Once the root causes are confirmed, Phase 3 of the integrated approach

    applies conventional Six Sigma strategy by using the key manufacturing, engineering, and statistical

    techniques to remove root causes of the problem for making necessary process improvement. The

    purpose is to best utilize the current capacity of the process without incurring additional capital

    expenditures.

    Phase 4 ensures the changes made in previous steps are properly supported by the rest of the

    system. For example, managers may need to change policies and obtain buy-in from employees to

    implement the changes. Training is often required for a revised process. Phases 5 and 6 are taken

    from the TOC process. If the improvement of the selected process is insufficient to satisfy customer

    needs or goals, managers have to consider various options (e.g., outsourcing and additional

    investment) to raise the capacity of the process. Finally, managers must stay alert to the dynamic

    nature of the manufacturing system and constantly monitor occurrence of new constraints.

    Overall, when the integrated framework is applied to improve a specific process, these two

    techniques seem to complement each other. The integration is made by combining the

    management aspect of TOC and the engineering aspect of Six Sigma. Specifically, for firms thatapply Six Sigma, TOC provides a global perspective in identifying the constraints and examining

    necessary changes to the rest of the systems. On the other hand, Six Sigma brings in the

    perspectives of customer needs, performance measures, and engineering and statistical tools during

    the stages Theory of Constraints (TOC) was developed by Eliyahu M. Goldratt during the 1980s

    (McMullen, 1998). The core idea of TOC is that every organization has at least one constraint that

    prevents management from achieving the goal of the organization to a larger degree. Constraints

    can be physical resources or policies. TOC develops a set of procedures and methodologies to

    identify and optimize such constraints. For the purpose of continuous improvement, TOC uses a

    systematic approach which consists of five focusing steps (Goldratt and Cox, 1992).

    1. Identify the systems constraint(s).

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    2. Decide how to exploit the systems constraint(s).

    3. Subordinate everything else to the above decision.

    4. Elevate the systems constraint(s).

    5. If a constraint has been broken, go back to Step 1. Do not allow inertia to cause asystems constraint.

    The implementation of Six Sigma strategy involves a series of steps specifically designed to

    facilitate a process of continuous improvement. The strategy takes the key manufacturing,

    engineering, and transactional processes of entire process through the five transformational phases

    (Plotkin, 1999).

    1. Define: Identify customer needs and a project suitable for Six-Sigma effort.

    2. Measure: Determine what and how to measure the performance of the selected process.

    3. Analyze: Understand and determine the variables that create quality variations.

    4. Improve: Identify means to remove causes of defects and modify the process.

    5. Control: Maintain the improvement.

    The primary objective of the five-step process is to recognize critical customer requirements,

    identify and validate the improvement opportunity, and upgrade the business processes. A

    large number of companies have boosted their profitability, increased market share, and

    improved customer satisfaction through the implementation of Six-Sigma. Companies such

    as Allied Signal, General Electric, Sony, Texas Instruments, Bombadier, Crane Co.,

    Lockheed Martin, and Caterpillar are beginning to dir

    The swot anlysis of the Perpetual Inventory System is as under:

    STREGTHS:

    Accurate Reporti ng

    Companies often experience more accurate financial reporting with a perpetualinventory system. Accountants update the general ledger after each inventory

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    First-In, First-Out method can be applied in both the periodic inventory system and the

    perpetual inventory system.

    Example

    Use the following information to calculate the value of inventory on hand on Mar 31 and costof goods sold during March in FIFO periodic inventory system and under FIFO perpetual

    inventory system.

    Mar 1 Beginning Inventory 60 units @ $15.00 per unit

    5 Purchase 140 units @ $15.50 per unit

    14 Sale 190 units @ $19.00 per unit

    27 Purchase 70 units @ $16.00 per unit

    29 Sale 30 units @ $19.50 per unit

    Solution

    FIFO Periodic

    Units Available for Sale = 60 + 140 + 70 = 270

    Units Sold = 190 + 30 = 220

    Units in Ending Inventory = 270 220 = 50

    Cost of Goods Sold Units Unit Cost Total

    Sales From Mar 1 Inventory 60 $15.00 $900

    http://accountingexplained.com/financial/inventories/periodic-journal-entrieshttp://accountingexplained.com/financial/inventories/perpetual-journal-entrieshttp://accountingexplained.com/financial/inventories/perpetual-journal-entrieshttp://accountingexplained.com/financial/inventories/periodic-journal-entries
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    Sales From Mar 5 Purchase 140 $15.50 $2,170

    Sales From Mar 27 Purchase 20 $16.00 $320

    220 $3390

    Ending Inventory Units Unit Cost Total

    Inventory From Mar 27 Purchase 50 $16.00 $800

    FIFO Perpetual

    Date

    Purchases Sales Balance

    Units Unit Cost Total Units Unit Cost Total Units Unit Cost Total

    Mar 1 60 $15.00 $900

    5 140 $15.50 $2,170 60 $15.00 $900

    140 $15.50 $2,170

    14 60 $15.00 $900 10 $15.50 $155

    130 $15.50 $2,015

    Under theperpetual inventory system, an entity continually updates its inventory records toaccount for additions to and subtractions from inventory for such activities as received

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    (ii) Continuous stock verification: This system comprises of counting and verifying i numberof items at random daily throughout the year so that all items of stores are verified severaltimes during the year. Notice of the particular stock to be verified each clay is given to thestore-keeper only on the date of actual verification.

    As there is an element of surprise check in this system of stock-taking, effective control overthe items of stores can be exercised. The system does not necessitate the closing down of thestores to facilitate stock-taking. There is also less possibility of fraud and discrepancy, but themethod is expensive and is adopted by big concerns only.

    The actual stock of material should not differ from the recorded stock under normalcircumstances. But-sometimes differences arise due to the following reasons:

    (i) Breakage and wastage of materials due to improper handling.

    (ii) Shrinkage and evaporation.

    In earlier periods, non-continuous, orperiodic inventory systems were more prevalent.Starting in the 1970s digital computers made possible the ability to implement a perpetualinventory system. This has been facilitated by bar coding and lately radio frequencyidentification (RFID) labeling which allows computer systems to quickly read and processinventory information as part of transaction processing.

    Perpetual inventory systems can still be vulnerable to errors due to overstatements (phantominventory) or understatements (missing inventory) that can occur as a result of theft, breakage,

    scanning errors or untracked inventory movements, leading to systematic errors inreplenishment.

    The ESA95 recommends the Perpetual Inventory Method (PIM) for the calculation of thestock of Fixed assets whenever direct information is missing (par. 6.04). The calculation ofconsumption of Fixed capital can be based on these stocks of assets. Besides net capital stockwhich appears in the Balance sheets can be derived within a PIM approach. In this paragraphthe basic principles of the PIM will be discussed. Using the PIM, gross capital stock iscalculated as the sum of gross fixed capital formation in Previous years, of which the servicelive is not yet expired. In the simplest case it is assumed that the total investment of a

    particular asset does not deteriorate during the expected service life of that asset and is

    discarded as a whole after that period of time.

    Becoming a preferred employer involves more than learning the characteristics of such an

    organization, howeverit also requires that you understand what top performers want and

    value in a relationship with an employer. Interestingly, the answers to both questions are the

    same.

    To begin with, top-tier employers offer more than competitive pay and benefits. In fact, the

    word "competitive" implies that you're simply matching what many other businesses are

    http://en.wikipedia.org/wiki/Periodic_inventoryhttp://en.wikipedia.org/wiki/RFIDhttp://en.wikipedia.org/wiki/Phantom_inventoryhttp://en.wikipedia.org/wiki/Phantom_inventoryhttp://en.wikipedia.org/w/index.php?title=Missing_inventory&action=edit&redlink=1http://en.wikipedia.org/w/index.php?title=Missing_inventory&action=edit&redlink=1http://en.wikipedia.org/wiki/Phantom_inventoryhttp://en.wikipedia.org/wiki/Phantom_inventoryhttp://en.wikipedia.org/wiki/RFIDhttp://en.wikipedia.org/wiki/Periodic_inventory
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    providing. Even important additional elements, such as a good environment and open

    communication, won't necessarily make the difference.

    Studies show that the most important factor is how people feel about their role in the

    business. Employees perform at different levels based on how they're engaged in the

    lifeblood activities of the company. When an employer brings in people who are talented,

    aligned with the company's values and focused on its goals, the results can be tremendous.

    Want to set your company apart from your competitors? Here are some steps that can help

    you draw the best people to your business: