Question: 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

It costs $12 to make a single unit using regular

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 an objective function and constraints to solve this problem. Month Forecast January 250 February 200 March 300 April 400 |May 500 Formula - SEE RED TOMATO EXAMPLE 5 5 MIN = Regular; + Overtime; + 3 Ending Inventoryi i=1 i=1 i=1 CONSTRAINTS (Subject to): (1.) (2.) (3.) (4.) (5.)

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