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The Electric Company produces generators and alternators for industrial purposes. Each generator requires 3 hours of...

The Electric Company produces generators and alternators for industrial purposes. Each generator requires 3 hours of wiring and 2 hours of testing. Each alternator requires 2 hours of wiring and 4 hours of testing. There are 18 hours of wiring time and 20 hours of testing time available. Generators earn $15 of profit per unit and alternators earn $20 of profit per unit. What is the objective function?

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Answer #1

Objective function

Maximize

Z = 15x + 20y

In Linear programming objective function is either to miximize the profit or to minimize the cost , as the given question is for profit and it is maximization of profit

Let the unit of Generator be X and unit of alternators be y

Hence Obejctive function

Maximize

Z = 15x + 20y

Subject to constraint

3x+2y 18...... .(Wiring hours Constraint)

2x+4y 20..... .(Testing hour Contraint )

Where x, y 0

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