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Develop a production schedule to produce the exact production requirements by varying the workforce size for the following problem. The monthly forecasts for Product X

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Develop a production schedule to produce the exact production requirements by varying the workforce size for the following problem. The monthly forecasts for Product X for January, February, and March are 1,000, 1,500, and 1,200, respectively. Safety stock policy recommends that half of the forecast for that month be defined as safety stock. There are 22 working days in January, 19 in February, and 21 in March. Beginning inventory is 500 units. Manufacturing cost is $200 per unit, storage cost is $3 per unit per month, standard pay rate is $6 per hour, overtime rate is $9 per hour, cost of stock-out is $10 per unit per month, marginal cost of subcontracting is $10 per unit, hiring and training cost is $200 per worker, layoff cost is $300 per worker, and worker productivity is 0.1 unit per hour. Assume that you start off with 50 workers and that they work 8 hours per day. (Leave the cells blank, whenever zero (0) is required. Input all values as positive values. Round your answers to the nearest whole number.) X Answer is complete but not entirely correct. March January 1,000 February 1,500 1,200 500 750 600 500 3 X 0X Forecast Safety stock Beginning inventory Net production required Workers required Hired 1,000 2,247 x 1,800 X 57 148 X 108 x 7 91 X 0 Laid off 0 0 40 x 1,003 1,814 X Actual production Ending inventory 2,250 X 3 x 3 X 14 x X Answer is complete but not entirely correct. March January 60,192 Labor $ $ February 134,976 X $ 9X 108,864 9 X 42 x 1,400 18,200 X 0 Inventory Hiring Layoff Total 0 0 $ 61,601 $ $ 153,185 Total 12,000 120,906 335,692 $

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