Develop a production plan and calculate the annual cost for a firm whose demand forecast is: fall, 10,800; winter, 7,500; spring, 6,500; summer, 12,800. Inventory at the beginning of fall is 540 units. At the beginning of fall you currently have 35 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock-outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $100 for each temp; layoff, $200 for each worker laid off; inventory holding, $5 per unit-quarter; backorder, $10 per unit; regular time, $5 per hour; overtime, $8 per hour. Assume that the productivity is 0.5 unit per worker hour, with eight hours per day and 60 days per season. In each quarter, produce to the full output of your regular workforce, even if that results in excess production. In Winter and Spring, use overtime only if needed to meet the production required in that quarter. Do not use overtime to build excess inventory in prior seasons expressly for the purpose of reducing the number of temp workers in Summer. (Leave the cells blank, whenever zero (0) is required. Negative values should be indicated by a minus sign. Round up "Number of temp workers, Workers hired and Workers laid off" to the next whole number and all other answers to the nearest whole number.)

Develop a production plan and calculate the annual cost for a firm whose demand forecast is: fall, 10,800, winter. 7.500, spring. 6,500, summer. 12.800 Inventory at the beginning of fall is 540 units. At the beginning of fall you currently have 35 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring. S100 for each temp, layoff, $200 for each worker laid off inventory holding. $5 per unit-quarter, backordet, $10 per unit; regular time, $5 per hour, overtime$8 per hour. Assume that the productivity is 05 unit per worker hour, with eight hours per day and 60 days per season. In each quarter, produce to the full output of your regular workforce, even if that results in excess production In Winter and Spring, use overtime only if needed to meet the production required in that quarter. Do not use overtime to build excess inventory in prior seasons expressly for the purpose of reducing the number of temp workers in Summer (Leave the cells blank, whenever zero (O) is required. Negative values should be indicated by a minus sign. Round up "Number of temp workers, Workers hired and Workers lald off to the next whole number and all other answers to the nearest whole number.) Spring 6,500 Fall 10.800 540 10260 205201 16.000 Winter 7.500 -1.860 9,360 18.720 16 300 1.920 Summer 12 800 2.000 10.800 21.600 16.800 Forecast Beginning inventory Production required Production hours required Production hours available Omhours Temp works Temp work hours wat Total hours available Actual production Ending on 6.500 13,000 16.800 200 16.8001 8.400 1360 10 4000 21.600 10.800 18.720 9.3601 17.000 8.500 2000 Fall Winter Spring Summer Regular time Overtime Inventory Backorder Hiring Layoff Total Annual cost $ 0 $ 0 $ 0 0 $ $ 0