Plan production for the next year. The demand forecast is: spring, 19,100; summer, 10,600; fall, 14,600; winter, 17,900. At the beginning of spring, you have 68 workers and 960 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 start of fall 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, $140 per new worker; layoff, $280 per worker laid off, holding, $22 per unit-quarter, backorder cost, $9 per unit; straight-time labor, $12 per hour; overtime, $18 per thour. 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. Note: Leave no cells blank - be certain to enter " 0 " wherever required, \begin{tabular}{|l|l|l|l|} \hline Straight time & & & \\ \hline Overtime & & & \\ \hline Inventory & & & \\ \hline Backorder & & & \\ \hline Hiring & & & \\ \hline Layoff & & & \\ \hline Total & & & \\ \hline Total cost & & & \\ \hline \end{tabular}