Problem 8-9 (Static) Plan production for the next year. The demand forecast is: spring, 20,000; summer, 10,000; fall, 15,000; winter, 18,000. At the beginning of spring, you have 70 workers and 1,000 units in inventory. The union contract specifies that you may lay off workers only once a year, at the beginning of summer. Also, you may hire new workers only at the end of summer to begin regular work in the fall. The number of workers laid off at the beginning of summer and the number hired at the end of summer should result in planned production levels for summer and fall that equal the demand forecasts for summer and fall, respectively. If demand exceeds supply, use overtime in spring only, which means that backorders could occur in winter. You are given these costs: hiring, $100 per new worker; layoff, $200 per worker laid off, holding, $20 per unit-quarter; backorder cost, $8 per unit; regular time labor, $10 per hour, overtime, $15 per hour. Productivity is 0.5 unit per worker hour, eight hours per day, 50 days per quarter. Find the total cost of this plan. Note: Hiring expense occurs at beginning of Fall. (Leave the cells blank, whenever zero (O) is required.) Fall Spring 20,000 Summer 10,000 Winter 18,000 Forecast 15,000 Beginning inventory Production required Production hours required Regular workforce Regular production Overtime hours Overtime production Total production Ending inventory Ending backorders Workers hired Workers laid off Spring Summer Fall Winter Regular time Overtime Inventory Backorder Hiring Layoff Total Total cost