1. ISE 216 Question Hour Chapter 3 Mar. 16th 2011

2. Q 3.12 The personel department of A&M Co. wants to know how many workers will be needed each month for the next six month production period. The following is a monthly demand d-forecasts. The inventory on hand at the end of june was 500 units. The company wants to maintain a min. inventory of 300 units each month and would like to have 400 units at the end of dec. Each unit requires five-employee hours to produce, there are 20 working days in a month and each employee works 8-hour day. The workforce at the end of june was 35 workers. a)Determine a minimum inventory production plan. (one that allows arbitrary hiring and firing) b)Determine the production plan that meets demand but does not hire or fire workers during six-month period. MonthNumber of Patrons July1250 Aug.1100 Sep.950 Oct.900 Nov.1000 Dec.1150

3. A 3.12

4. Q 3.32 The Paris Paint is in the process of planning labor force requirements and production levels for the next four quarters. The following forecasts are made: There are 280 workers with the company. Hiring cost=1200 $/emp., firing cost=2500 $/emp.inverntory cost=1 $/gallon per quarter. It is estimated that one worker produces 1000 gallons of paint each quarter. Paris has 80000 gallons of paint in inventory now and would like to have 20000 gallons at the end of year. a)Determine the min. workforce plan. Calculate the cost. b)Determine the zero inventory plan. Let hire and fire of employees. Calculate the cost. c)If Paris were able to back-order access demand at a cost of 2 $/gallon per quarter, determine a minimum constant workforce plan that holds less inventory than the plan you found in part a. Let stock-outs only in quarter 2. Calculate the cost. QuarterDemand forecast (*1000) 1380 2630 3220 4160

5. A 3.32

7. Q 3.34 a)Formulate Q.32 as a linear program. b)Solve the linear program. Round variables and determine the cost of the plan.

8. A 3.34