Founded 1991 by Md. Alimullah Miyan4 Embankment Drive Road, Sector 10, Uttara Model Town, Dhaka 1230, Bangladesh

Phone: 896 3523-7, 01714 014933, 892 3469-70, 891 8412, Fax: 892 2625, info@iubat.edu www.iubat.edu

Course Title: POP 301/501 (production and Operations Management) Time: 3 Hours

Final exam Marks: 100 Instructor: HAI Student I.D……………………………………………………..

1. Your company has bought a machine recently which produces garment threads. Your supplier has specified orders to be between 2 ±.5 cm. You have taken a sample and found that the average=2.01 cm and the standard deviation is .2 cm. Calculate capability index for the process and probability of producing a defect. 10 Marks

2. Favors Distribution Company purchases small imported trinkets in bulk, packages them, and sells them to retail stores. They are conducting an inventory control study of all their items. The following data are for one such item, which is not seasonal. a. Use trend projection to estimate the relationship between time and sales (state the equation). 10 Marks

b. Calculate forecasts for the first four months of the next year. 5 Marks

c. Calculate the standard error of regression. 10 Marks

3. a. Given the following data, calculate the three-year moving averages for years 4 through 10.

5 Marks

Founded 1991 by Md. Alimullah Miyan4 Embankment Drive Road, Sector 10, Uttara Model Town, Dhaka 1230, Bangladesh

Phone: 896 3523-7, 01714 014933, 892 3469-70, 891 8412, Fax: 892 2625, info@iubat.edu www.iubat.edu

b. What is the forecast for May based on a weighted moving average applied to the following past demand data and using the weights: 4, 3, 2 (largest weight is for most recent data)?

10 Marks

4. The new office supply discounter, Paper Clips, Etc. (PCE), sells a certain type of ergonomically correct office chair which costs $300. The annual holding cost rate is 40%, annual demand is 900, and the Setup cost is $20 per order. The store is open 300 days per year.

Calculate the optimal order quantity. 10 Marks

5.

20 Marks

6. Using Graphical representations determine the optimal order Quantity assuming Economic order Quantity. 10 Marks

7. Graphically Detail the essential elements of Time Series Analysis. 10 Marks