1. Prepare the aggregate plan for the following 4 periods given demand forecasts of 30000, 50000, 15000, and 10000. There are currently 400 employees working. Hiring cost is $800 per employee. Firing cost is $1500 per employee. Inventory holding cost is $2 per unit per period. One worker produces 80 units per period. Current inventory is 5000 units. Company would like to end period 4 with minimum inventory of 2000 units. a. Determine the minimum constant workforce plan for the company. Assume that stock-outs are not allowed. Determine the total cost of the plan. b. Determine the zero-inventory plan that hires and fires workers each quarter to match demand as closely as possible. Determine the total cost of that plan. 1. Prepare the aggregate plan for the following 4 periods given demand forecasts of 30000, 50000, 15000, and 10000. There are currently 400 employees working. Hiring cost is $800 per employee. Firing cost is $1500 per employee. Inventory holding cost is $2 per unit per period. One worker produces 80 units per period. Current inventory is 5000 units. Company would like to end period 4 with minimum inventory of 2000 units. a. Determine the minimum constant workforce plan for the company. Assume that stock-outs are not allowed. Determine the total cost of the plan. b. Determine the zero-inventory plan that hires and fires workers each quarter to match demand as closely as possible. Determine the total cost of that plan