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In: Operations Management

SY Manufacturers (SYM) is producing T-shirts in three colors: red, blue, and white. The monthly demand...

SY Manufacturers (SYM) is producing T-shirts in three colors: red, blue, and white. The monthly demand for each color is 4,400 units. Each shirt requires 0.80 pound of raw cotton that is imported from the Luft-Geshfet-Textile (LGT) Company in Brazil. The purchasing price per pound is $2.00 (paid only when the cotton arrives at SYM's facilities) and transportation cost by sea is $0.40 per pound. The traveling time from LGT’s facility in Brazil to the SYM facility in the United States is two weeks. The cost of placing a cotton order, by SYM, is $110 and the annual interest rate that SYM is facing is 15 percent of total cost per pound.

a. What is the optimal order quantity of cotton? (Round your answer to the nearest whole number.)

Optimal order quantity pounds

b. How frequently should the company order cotton? (Round your answer to 2 decimal places.)

Company orders once every months.

c. Assuming that the first order is needed on 3-Jun, when should SYM place the order?

  • 20-May

  • 3-Jun

  • 17-Jun

d. How many orders will SYM place during the next year? (Round your answer to 2 decimal places.)

Number of orders times

e. What is the resulting annual holding cost? (Round your answer to the nearest whole number.)

Annual holding cost per year

f. What is the resulting annual ordering cost?

Annual ordering cost

g. If the annual interest cost is only 5 percent, how will it affect the annual number of orders, the optimal batch size, and the average inventory?

If the holding cost is lower the batch size is thus, the average inventory is
The number of orders would be

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Expert Solution

keosha answered 6 months ago
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