a. 1. (60pts) Design your own inventory management problem with the required input data and answer the following questions: 1 Designed my own invetory the information on below Operating days in year=112, Daily demand:19, D-annual demand=2128, S-ordering cost=$50, H=Holding cost-$1 and X-lead time-2 Days, Y=500 units What is the optimal order size? EOQ=462 b. What is the optimal number of orders per year? N=4.6 c. What is the optimal number of days between orders? 24.35 days d. What is the annual inventory cost?461.30 e. If the lead time were X days/weeks/months, what would be the reorder point? Reorder quatiity=38 For what value of ordering cost would y units of order size be optimal? 58,74 *Determine unit of time, X, Y, and all required input data by yourself depending on your problem randomly and rationally. (no production, no discount) 2. (40pts) Extend your inventory problem at question 1 to inventory problem with discount. Determine the required input data and answer the following questions: a. Determine how often the firm should order. b. Determine the size of each order, C. At what price should the firm order? I solved first question I want from you Can you solve the question two which is 40 Point f