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 930, 1,550, and 1,220, 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 550 units.      Manufacturing cost is $190 per unit, storage cost is $6 per unit per month, standard pay rate is $4 per hour, overtime rate is $6 per hour, cost of stockout is $9 per unit per month, hiring and training cost is $280 per worker, layoff cost is $380 per worker, and worker productivity is 0.1 unit per hour. Assume that you start off with 47 workers and that they work 8 hours per day. (Round Workers Required up to the next higher whole number. Round all other variables off to the nearest whole number. Use previous rounded answers as required to compute subsequent answers. Input all values as positive values. Leave no cells blank - be certain to enter "0" wherever required.)                  January                February        March   Forecast 930 1,550 1,220     Safety stock          Beginning inventory          Net production required          Workers required          Hired          Laid off          Actual production          Ending inventory                           January                February        March   Labor $ $ $      Inventory          Hiring          Layoff                   Total $ $ $                   Total   $

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Problem 8-9

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 930, 1,550, and 1,220, 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 550 units.

     Manufacturing cost is $190 per unit, storage cost is $6 per unit per month, standard pay rate is $4 per hour, overtime rate is $6 per hour, cost of stockout is $9 per unit per month, hiring and training cost is $280 per worker, layoff cost is $380 per worker, and worker productivity is 0.1 unit per hour. Assume that you start off with 47 workers and that they work 8 hours per day. (Round Workers Required up to the next higher whole number. Round all other variables off to the nearest whole number. Use previous rounded answers as required to compute subsequent answers. Input all values as positive values. Leave no cells blank - be certain to enter "0" wherever required.)


                 January                February        March
  Forecast 930 1,550 1,220  
  Safety stock       
  Beginning inventory       
  Net production required       
  Workers required       
  Hired       
  Laid off       
  Actual production       
  Ending inventory       
 

                 January                February        March
  Labor $ $ $   
  Inventory       
  Hiring       
  Layoff       
        
  Total $ $ $   
        
      Total   $   
          
 
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