2. Harkin Electronics is planning its production next quarter for its two produc

Question

2. Harkin Electronics is planning its production next quarter for its two product lines, relays and capacitors. Profit contribution is $250 for a case of relays and $200 for a case of capacitors. The company uses three resources to produce its product. Labor, stamping capacity and testing capacity. Next quarter 80,000 hours of labor will be available; a case of relays requires 200 hours of labor and a case of capacitors require 150. The company has two stamping machines each are available for 800 hours next quarter, and a case of relays requires 4 hours on the stamping machine and a case of capacitors require 2 hours. Relays require 5 hours on the testing machine and capacitors require 3 hours. The testing machine will be available for 2,000 hours next quarter. The company has outstanding orders for 500 relays. Formulate as a linear programming problem.

Explanation / Answer

Maximize=Profit

Z=$250x1+$200x2

Subject to the constraints

200x1+150x2<80,000

4x1+2x2<800

5x1+3x2< 2,000

x1,x2>0

fill out outstanding order

37,500x1+600x2+1500x3<500-200 outstanding order filled out capacity

x1+x2+x3<300

Explanation.

per relay (250/2)125* 300=$37,500

per relay(4/2)2 *300=$600

Relay=5*300=1500

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