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make a single unit using overtime production


It costs $12 to make a single unit using regular production and $15 to make a single unit using overtime production. Total overtime production is limited to 500 units for the five-month period. The manufacturing plant has a regular production capacity of 250 units per month and 50 units in inventory at the start of the planning period. There is a $5 per unit charge for holding inventory at the end of each month and a limit of 250 units ending inventory for any period. Develop a minimum cost production plan if the forecast must be met and costs must be minimized.
Month Forecast January 250 February 200 March 300 April 400 May

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