Problem 3 Problem 4 The forecast demand for an item is: The forecast demand for an item is: January 8,000 February 12.000 March 14,000 April 15,000 May 13,000 June 10,000 January 8,000 February 10,000 March 16,000 April 6,000 May 14,000 June Tune 12,000 Shipment Forecast Shipment Forecast Inventory holding cost is $2/unit/month. (Holding cost is based on ending inventories.) Hiring cost is $2,000/employee. Firing cost is $500/employee. Straight-time cost of a permanent employee is $1,500/worker/month. Overtime cost is 1.5 x straight time. (Overtime is available in increments of worker-months.) Each worker can produce 50 units per month on straight time. The present permanent workforce is 150 employees. Beginning inventory, at the beginning of January, is 0 units Inventory holding cost is $5/unit/month. (Holding cost is based on ending inventories.) Hiring cost is $2,000/employee. Firing cost is $500/employee. Straight-time cost of a permanent employee is $2,000/worker/month. Overtime cost is 1.5 x straight time. (Overtime is available in increments of worker-months.) Each worker can produce 100 units per month on straight time. The present permanent workforce is 100 employees. Temporary workers can be used at a straight time cost of $2,750 per month with no hiring or firing cost. However, each temporary worker must stay for a MINIMUM ENGAGEMENT of at least two months. Temporary workers have the same productivity as permanent workers. Beginning inventory, at the beginning of January, is 0 units. Use the following schedule to find the least-cost "level" aggregate production plan with a constant workforce. Level Production with Constant Workforce January 8.000 February 12.000 March 14.000 April 15.000 May 13.000 June 10.000 Shipment Forecast Aggregate Production Plan Output Plan: Shipments Ending Inventory [BI=0 Input Plan: Number of Workers [BI = 1501 Hires (Fires) a. Find the least-cost "level" aggregate production plan with a constant workforce. For this plan: (i) Find the ending inventory in June. (ii) Find the total cost of this aggregate production plan. b. Find the least-cost "chase" aggregate production plan. Production may be varied by changing the size of the permanent workforce, using overtime, or using temporary workers. For this plan: (i) Find the ending inventory in June. (ii) Find the total cost of this aggregate production plan. a. Find the ending inventory in June. b. Find the total cost of this aggregate production plan