a.Construct a network for this project(Activity on Are). b.Compute the earliest and the latest starting and finishing times for each activity and identify the critical path. 3.(15%)A local supermarket sells a popular brand of shampoo at a fairly steady rate of 400 bottles per month.The cost of each bottle to the supermarket is 45 cents,and the cost of placing an order has been estimated at $8.50.Assume the holding costs are based on a 30 percent annual interest rate.Stock-outs of the shampoo are not allowed. a.Determine the optimal lot size the supermarket should order and the time between placements of orders for this product. b.If the procurement lead time is two months,find the reorder point based on hand inventory. 4.(15%)The Pairs Paint Company is in the process of planning labor force requirements and production level for the next four quarter.The marketing department has provided production with the following forecast of demand for Pairs Paint over the next year. Assume that there are currently 280 employees with the company.Employees are hired for at least one full quarter.Hiring costs amount to $1,200 per employee and firing costs are $2,500 per employee.Inventory costs are $1 per gallon per quarter.It is estimated that one worker produces 1,000 gallons of paint each quarter. A卷总6页第2页姓名_A 卷 总 6 页 第 2 页 姓名 a. Construct a network for this project (Activity on Arc). b. Compute the earliest and the latest starting and finishing times for each activity and identify the critical path. 3. (15%) A local supermarket sells a popular brand of shampoo at a fairly steady rate of 400 bottles per month. The cost of each bottle to the supermarket is 45 cents, and the cost of placing an order has been estimated at $8.50. Assume the holding costs are based on a 30 percent annual interest rate. Stock-outs of the shampoo are not allowed. a. Determine the optimal lot size the supermarket should order and the time between placements of orders for this product. b. If the procurement lead time is two months, find the reorder point based on hand inventory. 4. (15%) The Pairs Paint Company is in the process of planning labor force requirements and production level for the next four quarter. The marketing department has provided production with the following forecast of demand for Pairs Paint over the next year. Assume that there are currently 280 employees with the company. Employees are hired for at least one full quarter. Hiring costs amount to $1,200 per employee and firing costs are $2,500 per employee. Inventory costs are $1 per gallon per quarter. It is estimated that one worker produces 1,000 gallons of paint each quarter