SY Manufacturers (SYM) is producing T-shirts in three colors: red, blue, and white. The monthly demand for each color is 3,487 units. Each shirt requires 075 pound of raw cotton that is imported from Luft-Geshfet-Textile (LGT) Company in Brazil The purchasing price per pound is $1.55 (paid only when the cotton artives at SYM's facilities) and transportation cost by soa is $0.70 per pound. The traveling time from LGT's facility in Brazil to the SYM facility in the United States is fwo weeks. The cost of placing a cotton order, by SYM, is $186 and the annual interest rate that SYM is facing is 32 percent a. What is the optimal order quantity of cotton? (Round your answer to the nearest whole number.) b. How frequently should the company order cotton? (Round your answer to 2 decimal places.) c. Assuming that the first order is needed on ondul, when should SYM place the order? 17. Jun 0r-jul 15-Jul d. How many orders will SYM place during the next year? (Round your answer to 2 decimal places.) e. What is the resulting annual holding cost? (Round your answer to the nearest whole number.) f. What is the resulting annual ordering cost? 9. 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