Explain cost-minimizing production schedule, Operation Management

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A motorcycle manufacturer is determining its production schedule for the next 6 months. The cost of manufacturing a motorcycle during each month is Month 1 Month 2 Month 3 Month 4 Month 5 Month 6 $750 $755 $785 $810 $815 $825 at the end of each month, a holding cost of $200 per motorcycle left in inventory is incurred. No more than 50 motorcycles can be stored in inventory at any point in time. Monthly demands for motorcycles are Month 1 Month 2 Month 3 Month 4 Month 5 Month 6 180 205 195 196 199 208. Assume that at the beginning of the first month, 25 completed motorcycles are in inventory. Also, this company can produce up to 200 motorcycles per month. Finally, each unit on hand at the end of month 6 (after demand is met) could be sold for $1000. Determine a cost-minimizing production schedule that meets all demands on time


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