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January 29, 2015

January 29, 2015

Posted by **garnel** on Sunday, October 28, 2012 at 4:16pm.

Let and represent the number of each type of racket made in order to maximize profit.

Formulate the above information as a Linear Programming Problem by determining

i. the objective function

ii. the linear constraints

- HELP A.S.A.P. PLEASE: linear programming-maths -
**MathMate**, Sunday, October 28, 2012 at 8:10pmThe objective function in this case is to calculate the profit.

s=number of squash rackets (made and) sold.

t=number of tennis rackets (made and) sold.

From "The profit on each tennis racket and squash racket is $7 and $9 respectively"

we can say that the objective function, P(s,t)=7t+9s

I will show how to compose the two constraints concerning aluminium and nylon.

"Each tennis racket requires two units of aluminum and one unit of nylon. Each squash racket requires 1.8 units of aluminum and 0.8 units of nylon. The company has 1000 units of aluminum and 800 units of nylon available. "

This translates to:

2t+1.8s ≤ 1000,

2t+0.8s ≤ 800

I will leave it to you to complete the other constraints

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