An operation manager of a chemical manufacturing plant must determine the lot size for a chemical that has a steady demand of 2,550 litres per day. The production rate is 7,350 litres per day, setup cost is $700, annual holding cost is $0.22 per litre, and the plant operates 330 days per year. 20 marks

a. Determine the production order quantity (POQ), the number of orders and the time between orders. What is the total annual setup cost? What is the total holding cost per year? Using an appropriately labelled diagram, graph setup cost, holding cost, and total inventory cost, and show the optimal production order quantity and the minimum total inventory cost. What is the setup time in hours, based on a $25 per hour setup labour cost?

b. Determine the duration of the active production interval, t. Determine the maximum inventory. Determine demand during the production interval.