bus100 tma jeffrey

7/25/2019 BUS100 TMA Jeffrey

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Qn 2.02 -Lawn Mowing Question: John's father has a motorise

a. He !harges "#$ for ea!h front yard a

John His !om%etitor Mel(in uses a manual

*e(enue +er ,ard ,ards +er ay m%loyment /ees

"#$.00 $ "&.00 a. onstru!t a s%readsheet model to e

Mel(in b. 5ased on the gi(en data only who*e(enue +er ,ard ,ards +er ay

"20.00 ) !. laborate how your model may be f

aysumulati(e *e(enue

John Mel(in

ay # "#8&.00 "#00.00

ay 2 "2&9.00 "200.00

ay 8 "9##.00 "800.00

ay 9 ")9$.00 "900.00

ay ) "$).00 ")00.00ay "$22.00 "00.00

ay & ";);.00 "&00.00

Comments

#. <his model assumes John is able to ful=ll 8 !onditions able to borrow the lawn mower lawn mower is woring and

2. <he !umulati(e re(enue is deri(ed by adding the !urrent day's re(enue to the %re(ious day's re(enue.

8. 3n4uen!e iagram is shown in Qn 2.02 3n4uen!e worsheet

Documentation

*e(enue %er ,ard >John 5) ?3n%ut@ John's *e(enue #8

,ards %er ay >John ) ?3n%ut@ Mel(in's *e(enue #8

lassmates' Hel% >John ) ?3n%ut@

*e(enue %er ,ard >Mel(in 5; ?3n%ut@



b. ,ards %er ay >Mel(in ; ?3n%ut@

0 # 2 8 9 ) : & $"0.00

"200.00

"900.00

":00.00

"$00.00

"#'000.00

"#'200.00

John (s Mel(in>umulati(e 3n!ome (s Ao. of -ays

John Mel(in

Aumber of -ays

umulati(e 3n!ome

John will do better based on gi(en data.3 thin how well John do in real life de%ends on two (ariables the motoriBed lawnmower and the !lassmate's hel%. 3f the motoriBed lawn mower does not wor or beingunable to borrow the lawn mower then he will earn lesser than Mel(in. <he!lassmate's hel% is also another fa!tor that will aCe!t how many yards he !an do aday.3n !on!lusion John will do better in real life unless the two fa!tors mentioned o!!urs.



!. ays umulati(e *e(enue John Dssumin

Mel(in ) yards %er day yards %er day & yards %er day )

ay # "#00.00 ";0.00 "#0$.00 "#2.00

ay 2 "200.00 "#$0.00 "2#.00 "2)2.00

ay 8 "800.00 "2&0.00 "829.00 "8&$.00

ay 9 "900.00 "80.00 "982.00 ")09.00

ay ) ")00.00 "9)0.00 ")90.00 "80.00ay "00.00 ")90.00 "9$.00 "&).00

ay & "&00.00 "80.00 "&).00 "$$2.00

Documentation for

Dssuming ,ards %er

H$:J$

<he abo(e two fa!tors in %art b lawn mower and !lassmate's hel%. 3f John's father is

unable to borrow the lawn mower or if it does not wor he does not earn at all.3f John is unable to get !lassmate's hel% he will do lesser yard a day but does not needto %ay em%loyment fees.

/rom the gra%h EMel(in (s John >)& yardsE it shows that John will earn lesser if he isdoing the same amount of yards as Mel(in howe(er John will still earn more if he isdoing more yards than Mel(in

0 # 2 8 9 ) & $"0.00

"200.00

"900.00

"00.00

"$00.00

"#000.00

Mel(in (s John >)':'& yards

umulati(e *e(enue Mel(in John ) yards %er day

yards %er day & yards %er day



d lawn mower. He borrowed it to earn extra money during the summer mowing the neigbour's front yards.

d em%loys a !lassmate at "& a day to hel%. He !an do at most $ yards a day.

mower. He !harges "20 a yard and !an do at most ) yards a day.

(aluate the situation. 1et!h out the 3n4uen!e iagram of your model

o you thin would do better6 7ho do you thin would do better in real life6

urther im%ro(ed to su%%ort your argument.

ble to get !lassmates' hel%.

F"5")G"")-"")

F"5";G"";



,ards +er ay without !lassmate

&

part c

ay without !lassmate

?3n%ut@



3n4uen!e iagram Q2.02

<otal *e(enue

<otal ost

*e(enue +er ay

m%loyee /ees

,ards +er ayui%ment>Lawn Mower

Hel% fromlassmate



+ro=t



Qn 8.0 DD afI

ustomer's 5ill - DD afI Sandwich / Drink Regular

3tems rdered 7 hi!en /illet ").8;

# 1alami 1u%er ".9; lub 1andwi!h ".2;

2 *oot 5eer /loat *egular "8.9) Ham and heese "9.8;

8 hi!en /illet *egular ").8; +astrami elight ").2;9 +astrami elight Large ".; 1alami "9.9;

) hi!en /illet *egular ").8; Hot <ea "2.&;

+astrami elight 1u%er "&.; 3!ed oCee "2.;;

& Ham and heese 1u%er ".8; Mil 1hae "8.9;

$ - - "0.00 *oot 5eer /loat "8.9)

; - - "0.00

<otal "8&.20

"8&.20 >nearest ) !ents

Comments#. <he hard-!oded (alues in D#:D29 are hidden so that it !an emulate a restaurant bill better.

2. 3tems and siBes in bill are randomiBed to mae bill more realisti!.

8. nly # re!ei%t is done be!ause the random (alues will be used to simulate diCerent bills

Documentation

+ri!es for items H8:K#2 ?3n%ut@

Ao. of 3tems rdered 59 F*DA5<7A># A<D>D9:D#2

List of Aumbers for 3tems D):D#8 ?3n%ut@ >Hidden

3tems 1hown in 5ill 5#:529 F3/>"5"#)@FD# 3A>"D"9:"D"#2 *DA5<7A># A<D

1iBes 1hown in 5ill #:29 F3/>"5"#)@FD# 3A>"5"8:""8 *DA5<7A>#8 E-E

<otal +ri!e of 5ill >*ounded #0 !ents 2) F*A7A>1M>#:29 #

<otal +ri!e of 5ill >*ounded ) !ents 2 F/L*>1M>#:29 0.0)



Question:

DD !afI sells the best sandwi!hes and !oCee in the neighbourhood. <he sandwi!hes and

Large Super be(erages !ome in three siBes - namely regular large and su%er - to better !ater to the

".; "&.&; diCerent a%%etites of the !ustomers. <he %ri!es of items ser(ed there all end with ; for

"&.$; ";.0; exam%le a regular !hi!en =llet sandwi!h is ").8; and a regular !u% of i!ed !oCee is

").9; ".8; "2.;;. <he %o%ular items and their %ri!es are shown in the table on the left.

".; "&.;").); ".9;

"8.9; "9.0;

"8.; "9.8;

"9.8; ").0;

"9.2; "9.;;

>"D"9:"D"#2 E-E



Qn 9.02 Aew 1tartu%

1ales Nrowth *ate >O N1 >O 1elling ost >O NPD ost (erhead Nrowth >O

"2)0000.00 $O 9)O 20O "$;000.00 2O

a.

Month Sales COGS Selling Cost G&A Cost Net ro!t

Jan-#) "2)0000.00 "##2)00.00 ")0000.00 "$;000.00 -"#)00.00/eb-#) "2)#.& "##82)0.00 ")0888.88 "$;#9$.88 -"#0).00

Mar-#) "2)8899.99 "##900).00 ")0$.$; "$;2;.;# -"2.8

D%r-#) "2))088.9# "##9&).08 ")#00.$ "$;99).&9 -"#$9.0)

May-#) "2)&88.8 "##))80.#8 ")#89.&8 "$;);9.$2 "2#.;)

Jun-#) "2)$99).#; "##800.88 ")#$;.09 "$;&99.#9 "&##.&

Jul-#) "20#$.# "##&0&).& ")2088.8 "$;$;8.&2 "##).#9

Dug-#) "2#;02.# "##&$).#& ")28$0.)2 ";0098.)9 "#22.8&

1e%-#) "289$.8 "##$9#.$$ ")2&2;.&8 ";0#;8.# "20$8.9#

!t-#) "2)90.2$ "##;982.$8 ")80$#.2 ";0898.;8 "2)9$.2&

Ao(-#) "2&#&). "#2022;.0) ")898).#8 ";09;9.)# "80#.;&e!-#) "2$;).$8 "#2#080.)& ")8&;#.8& ";09).88 "89$;.)

Comments

#. <he =rst woring month is assumed to be January 20#).

8. Dll test !ases results are deri(ed using the model abo(e by !hanging growth rate N1 selling !ost and

9. umulati(e +ro=t is deri(ed by adding the !urrent month's net %ro=t to the %re(ious month's %ro=t.

Documentation

1ales 59 ?3n%ut@

Nrowth *ate 9 ?3n%ut@

N1 9 ?3n%ut@1elling ost 9 ?3n%ut@

Neneral and Ddministrati(e ost /9 ?3n%ut@

(erhead ost N9 ?3n%ut@

b. <he !om%any hits their =rst %ositi(e %ro=t in May 20#) whi!h is the )th woring month. <he !om%any breaDugust 20#) the $th woring month after taing in !umulati(e amount of net %ro=t %er month.



!. "est Case # $ Changing Growth Rate %ro' () to *)+

5y de!reasing the growth rate to 9O %er year the !om%any hits their =rst %ositi(e %ro=t in e!ember 20#at !tober 20# mu!h slower !om%ared to growth rate is of $O.

<he test !ase !on!ludes that the lower the growth rate the lower the sales slower in a!hie(ing =rst %osti(taes more time to brea e(en.

"est Case , $ Changing COGS %-ncreasing ro' *.) to .)+

5y in!reasing N1 to )0O the =rst %ositi(e %ro=t !omes in at e!ember 20#& the breae(en !omes inmeans that in!reased N1 !auses the !om%any to tae longer to get its =rst %ositi(e %ro=t hen!e brea

"est Case 0 $ Changing Selling Cost %ro' ,) to ,,)+

5y in!reasing 1elling ost to 22O the =rst %ositi(e %ro=t !omes in at May 20#. <he breae(en !omes inmeans that in!reased selling !osts will !ause the !om%any to get its =rst %ositi(e %ro=t and brea e(en at

"est Case * $ Changing O1erhead Cost %ro' ,) to .)+

5y in!reasing o(erhead !osts to )O the =rst %ositi(e %ro=t !omes in at Dugust 20#). <he breae(en !om20#. <his means that in!reased o(erhead !osts will !ause the !om%any to get its =rst %ositi(e %ro=t and

a later rate.



Question: Aew startu%

<he !om%any has "2)0000 sales this month and this is ex%e!ted to grow a nominal $O %er year.

ost of goods sold >N1 is !urrently at 9)O of sales. 1elling !ost is at 20O of sales. 5oth %ro%or

are ex%e!ted to remain stable in the next 2 years. Neneral and administrati(e >NPD whi!h

in!ludes te!hnology and %rodu!t de(elo%ment is at "$;000. <his o(erhead !om%onent should

Cu'ulati1e ro!t only grow at a slower 2O %er year and need not ee% %a!e with sales.

-"#)00.00-"2)).00 a. onstru!t a s%readsheet model of the new startu%'s business =nan!ials

-"8#;#.8

-"88&).9# b. 7hen will the !om%any hit their =rst >%ositi(e %ro=t6 7hen will they brea e(en6 5reae(en

-"8##8.9 taes longer sin!e more months of %ositi(e %ro=ts are needed to !o(er all the losses made in

-"290#.&$ earlier months.

-"#28.)

"8$).&8 !. (aluate test !ases with diCerent growth rates and %ro%ortion (alues. 3n ea!h !ase

"29;.#9 determine its =rst %ro=t and breae(en months.

")0#&.90

"$089.8&"##)28.;8

o(erhead !ost one at a time.

s e(en at



) breas e(en

e %ro=t and

t July 2020. <hise(en mu!h later.

t July 20#&. <hisa later rate.

s in at Mar!hrea e(en at



tions



Qn .08

a.

ull Rand%+ Reel #Rand%+ Reel , Rand%+ Reel 0Reel # Reel , Reel 0 herry +lum Melon Nold oins

# 0.#09 0.828) 0.)#&; Melon 5ar iamond 0 0 # 0

2 0.2$)2 0.#;2) 0.)090 5ar D!e iamond 0 0 0 0

8 0.2)28 0.# 0.;9& D!e Melon 1e(en 0 0 # 09 0.890& 0.2$&& 0.#08 5ar 5ar +lum 0 # 0 0

) 0.#88 0.)0); 0.$)82 Lemon iamond range 0 0 0 0

0.;00 0.&;9 0.2);0 Nold oins range D!e 0 0 0 #

& 0.)$82 0.$28 0.;2) Lemon range 1e(en 0 0 0 0

$ 0.00# 0.9)2# 0.;$) herry 5ell 1e(en # 0 0 0

; 0.99&; 0.&9;2 0.2&99 5ell Nold oins 5ar 0 0 0 #

#0 0.;&0 0.2029 0.8;#9 1e(en D!e 5ell 0 0 0 0

## 0.))0; 0.8$&2 0.$$0# iamond 5ell range 0 0 0 0

#2 0.02;) 0.8999 0.20# herry 5ell D!e # 0 0 0

#8 0.;80 0.&0$ 0.2;29 1e(en Nold oins 5ar 0 0 0 ##9 0.$000 0.&#2 0.0#) range Nold oins herry # 0 0 #

#) 0.99$) 0.80#9 0.2)2& 5ell 5ar D!e 0 0 0 0

# 0.&$8# 0.880) 0.9;2 range 5ar Lemon 0 0 0 0

#& 0.$$; 0.0;; 0.0928 range Lemon herry # 0 0 0

#$ 0.9);9 0.)9$& 0.90#0 iamond iamond 5ell 0 0 0 0

#; 0.;$0; 0.)$)# 0.$;22 1e(en Lemon 1e(en 0 0 0 0

20 0.&9$) 0.2&#8 0.8$8; Nold oins 5ar 5ell 0 0 0 #

2# 0.$9&; 0.#&00 0.;2#2 range Melon 1e(en 0 0 # 0

22 0.2&02 0.&22 0.20)2 5ar Nold oins D!e 0 0 0 #

28 0.890; 0.200) 0.;&0& 5ar D!e 1e(en 0 0 0 029 0.)&00 0.2#8& 0.2#)& Lemon D!e D!e 0 0 0 0

2) 0.;9)2 0.&$; 0.90$ 1e(en Nold oins iamond 0 0 0 #

2 0.;$9 0.02; 0.))28 Nold oins herry iamond # 0 0 #

2& 0.&8&9 0.9;&$ 0.;)&; Nold oins iamond 1e(en 0 0 0 #

2$ 0.;$#) 0.8)9# 0.#;8 1e(en 5ell Melon 0 0 # 0



-'age 2re3uenc4 ro5a5ilit4 Cu' ro5

herry 9 0.0 0

+lum 9 0.0 0.0

Melon 9 0.0 0.#8

D!e ) 0.0$ 0.#;

5ar ) 0.0$ 0.2&5ell & 0.## 0.89

iamond & 0.## 0.9)

Lemon & 0.## 0.)

Nold oins & 0.## 0.&

range & 0.## 0.&$

1e(en & 0.## 0.$;

<otal: 9 #00.00O #00.00O

Comments

#. <he "#)0 %ayoC !olumn re%resents if the %ull su!!eeds or fails in getting a set of gold !oin melon and diamond2. +robability F /reuen!y<otal /reuen!y

Documentation

*andom for 3mage 5):2$ F*DA>

*eel # ):2$ FLK+>R *DA> of *eel # S ""8:""9 "5"8:"5"9

*eel 2 /): /2$ FLK+>R *DA> of *eel 2 S ""8:""9 "5"8:"5"9

*eel 8 N):N2$ FLK+>R *DA> of *eel 8 S ""8:""9 "5"8:"5"9

/reuen!y 8:9 ?3n%ut@

+ayouts N;:3&# ?3n%ut@



Question. 1lot Ma!hine

<he slot ma!hine is a fa(orite among many %atrons in !asinos and %ri(ate !lubs.

iamonds "#)0 +ayoC 3t has three identi!al reels ea!h reel with s%ots for 9 images. <hese in!lude !herry

#/ail %lum melon a!e bar bell diamond lemon gold !oins orange and se(en.

#/ail Dfter inserting one or more dollar !oins the gambler %ulls the handle and the reels s%in.

0/ail <he ma!hine dis%lays three images one from ea!h reel when the reels sto% s%inning.0/ail e%ending on the !ounts of !ertain images dis%layed and the bet inserted the ma!hine

# /ail gi(es in returning nothing some !oins or an o(er4owing %ayoC.

0 /ail

0/ail a. onstru!t a s%readsheet model to simulate the slot ma!hine. Dssume in ea!h reel

0/ail there are 9 !herry 9 %lum 9 melon ) a!e ) bar & bell & diamond & lemon & gold !oins

0 /ail & orange and & se(en images all randomly arranged.

0 /ail

#/ail b. /or e(ery "# inserted the %ayoC for # !herry image is "2 2 !herry images gi(es ") and

0/ail 8 !herry images gi(e "#0T 2 %lum images gi(e "20 8 %lum images gi(e "80T and 2 melon

0/ail images gi(e "90 and 8 melon images gi(es "0. 7hat is the net balan!e after 2$ %ulls0 /ail when the initial is "#00 and bets are all "# ea!h6

0 /ail

0/ail !. How do you handle more !om%lex %ayoC !onditions6 /or exam%le a set of # gold !oin

0 /ail # diamond and # melon images to %ay out "#)0 %er dollar bet.

2 /ail

0 /ail

0 /ail

0 /ail

0 /ail

0 /ail0 /ail

# /ail

# /ail

# /ail

0 /ail

bus100 tma jeffrey

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