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TE Connectivity requires to produce 12 thousand, 17 thousand and 13 thousand connectors during the next 3 months (April, May, June). The plant can produce

TE Connectivity requires to produce 12 thousand, 17 thousand and 13 thousand connectors during the next 3 months (April, May, June). The plant can produce more than necessary at a cost of $ .07 per month of storage. The cost of material for each piece is $ 5dls per piece produced in April, $ 7dls in May and $ 6dls in June.

The company will start the month of April with 280 operators. Each operator can produce 50 pieces per month. To adjust its workforce to demand, the plant can hire and fire workers each month at a cost of $ 100 per hire and $ 300 per layoff.

Define the Model Variables
Define the objective function of the Model.
Define the Model constraints
Determine the Total Minimum Cost, as well as the quantity to produce per month, the extra inventory at the end of each month, the layoffs and hiring at the beginning of each month

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