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Linear equation

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The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. I need assistance in starting and developing the linear equation. I am so lost. The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor utilization, labor productivity and product profitability.

Product (hours/unit)Department 1 2 Labor hours avail

A 1.00 0.35 100

B 0.30 0.20 36

C 0.20 0.50 50 Profit contribution/unit $30.00 $15.00

a. Develop a linear programming model of the Hartman Company problem. Solve model to determine the optimal production quantities pf products 1 & 2

b. In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for for upcoming planning period. overtime can be scheduled in some other departments. which departments would you recommend scheduling for overtime? how much would you be willing to pay per hour of overtime in each department?

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