All-Easy manufactures three products whose unit profits are $1, $9 and $5, respectively. The company has budgeted 70 hrs. of labor time(adsbygoogle = window.adsbygoogle || []).push({});

and 45 hours of machine time for the production of three products.

The labor requirements per unit of products A,B C are 2, 3 and 5 hours, respectively. The corresponding machine time requirements per unit are 1, 4 and 5 hour.

All-Easy regards the budgeted labor and machine hours as goals that must be exceeded, if necessary,but at the additional cost of $15 per labor hour and $5 per machine hour. Formulate the problem as an LP model.

Doubts w/ solutions:

I let x = no. of units of product A, y = no. of units of product B, z = no. of units of product C.

Maximize: z = x + 9y + 5z (profit)

subject to:

2x + 3y + 5z <= 70 (labor hrs.)

x + 4y + 5z <= 45 (machine hrs.)

x,y,z >= 0

"All-Easy regards the budgeted labor and machine hours as goals that must be exceeded, if necessary, but at the additional cost of $15 per labor hour and $5 per machine hour." - if I were to make mathematical model out of these, am i going to adjust my objective function or my constraints or both? How?

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# Homework Help: Linear programming

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