Exercise 1: Economic Order Quantity. (35 points) One of the Toyota plants must decide how many of a particular type to order for manufacturing automobiles. The company plans to produce 300,000 cars in the next year. All cars planned for production use the same headlights (2 units per car); therefore, demand for the headlights forthe next year is known to be 600,000 units. The purchasing agent wants to know how many headlights to buy at one time. Historically, headlights have been received half a day (lead time) after they were ordered. It costs 50 to order lights, and the holding-cost fraction used by the auto company is 22 % per year. The headlights cost 25 each. 1) Compute the Economic Order Quantity. 2) What is the number of orders per year? 3) What is the frequency of orders? Assume the company works 365 days a year. 4) What is the reorder point? 5) The company works with a Safety Stock of 0.75 days. What is the level of this stock? 6) What is the Average Stock? 7) What is the total Holding Cost? 8) What is the total Ordering Cost? 9) What is the total Cost of Stock Management? 10) Draw the evolution of stock in time (the stock chart)