5. Finding the Economic Order Quantity (EOQ). The economic order quantity, or EOQj represents the order size Q that will minimize the total cost equation T. (a) Explain how using calculus you will be able to nd the EOQ. (b) Using what you described in part (a), show that 201) JLOQ : C 6. Applying Your Result. Sporty Goods sells a lot of footballs! The annual demand for footballs is 20,000 units. Each time it places an order, the cost per order is $500, and the carrying cost for each football is $5. (a) Calculate the economic order quantity EOQ (i.e. the optimal order size). (b) How many total orders will Sporty Goods place during a year? (c) What is the total carrying cost? (d) What is the ordering cost for the year