How much reduction in profit of each type b can be tolerated

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A company manufactures 3 different products, typeA, type B and type C. Each product is processed in 3 departments: I, II, III. The total availability of the departments are 900, 1080 and 840 hours respectively.

The time requirements (in hours per unit) of the three different products is listed below:

                Product A              Product B           Product C

Dept. I         2                        1                     2

Dept. II        3                       1                     2

Dept.Ill          2                      2                     1

Profit          $I8                    $I2                        $I5

Problem a) The manufacturer decided that for every product A, at least two product B be manufactured. How many of each product should they produce so that their profit maximizes?

Problem b) How much reduction in profit of each type B can be tolerated so the company can still make profit with the mentioned product structure?

Reference no: EM132752169

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