Please show your work for each step so that I can solve these on my own going foward. Thank you so much!!

c. Assuming that the first order is needed on April 1, when should SYM place the order? March 15th April 1st April 15th d. How many orders will SYM place during the next year? Note: Round your answer to 2 decimal places. e. What is the resulting annual holding cost? Note: Round your answer to the nearest whole number. f. What is the resulting annual ordering cost? Note: Round your answer to the nearest whole number. Round your intermediate calculation to 2 decimal places. 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? 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 cotton 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 cotton 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? Note: Round your answer to the nearest whole number. b. How frequently should the company order cotton? Note: Round your answer to 2 decimal places