# Question: SY Manufacturers SYM is producing T shirts in three colors

SY Manufacturers (SYM) is producing T- shirts in three colors: red, blue, and white. The monthly demand for each color is 3,000 units. Each shirt requires 0.5 pound of raw cot-ton that is imported from Luft- Geshfet- Textile (LGT) Company in Brazil. The purchasing price per pound is $ 2.50 (paid only when the cotton arrives at SYM’s facilities) and transportation cost by sea is $ 0.20 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 cot-ton order, by SYM, is $ 100 and the annual interest rate that SYM is facing is 20 percent.

a. What is the optimal order quantity of cotton?

b. How frequently should the company order cotton?

c. Assuming that the first order is needed on April 1, when should SYM place the order?

d. How many orders will SYM place during the next year?

e. What is the resulting annual holding cost?

f. What is the resulting 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? (You are not expected to provide a numerical answer to this question. Just describe the direction of the change and explain your answer.)

a. What is the optimal order quantity of cotton?

b. How frequently should the company order cotton?

c. Assuming that the first order is needed on April 1, when should SYM place the order?

d. How many orders will SYM place during the next year?

e. What is the resulting annual holding cost?

f. What is the resulting 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? (You are not expected to provide a numerical answer to this question. Just describe the direction of the change and explain your answer.)

**View Solution:**## Answer to relevant Questions

Demand for a book at Amazon. com is 250 units per week. The product is supplied to the retailer from a factory. The factory pays $ 10 per unit, while the total cost of a shipment from the factory to the retailer when the ...In the past, Taylor Industries has used a fixed time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs are forcing Taylor Industries to examine ...What are the sources of demand in an MRP system? Are these dependent or independent, and how are they used as inputs to the system?What is meant when we say that the least total cost (LTC) and least unit cost (LUC) methods are dynamic lot-sizing techniques?Each unit of A is composed of one unit of B, two units of C, and one unit of D. C is com-posed of two units of D and three units of E. Items A, C, D, and E have on- hand inventories of 20, 10, 20, and 10 units, respectively. ...Post your question