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.