## Linear Programming: maximize profit for making trucks

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
beenitty
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Joined: Tue Apr 30, 2013 3:51 pm
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### Linear Programming: maximize profit for making trucks

Manufacturing Company Makes Two types of trucks. Each must go through the paint and assembly shop.

Company can paint 800 trucks/day if it only paints truck 1.
Company can paint 700 trucks/day if it only paints truck 2.

Company can assemble 1500 trucks/day if it only assembles truck 1.
Company can assemble 1200 trucks/day if it only assembles truck 2.

It is possible to assemble or paint both trucks at the same time.

Each Truck 1 contributes \$1000 to profit, Each Truck 2 contributes \$1500 to profit. Formulate equations to maximize profit.

I feel like this isnt that hard, but Im not getting a solution that makes sense. Can anyone help me figuring out the set of equations?

maggiemagnet
Posts: 358
Joined: Mon Dec 08, 2008 12:32 am
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### Re: Linear Programming: maximize profit for making trucks

I feel like this isnt that hard, but Im not getting a solution that makes sense. Can anyone help me figuring out the set of equations?
Please write back showing what you've done, so we can check for any mistakes, because you might be almost right, or you might be almost all the way to the answer!

Please start with the variables you picked. (Since they're asking for the numbers of trucks, then the variables will have represented those truck numbers.) Thanks!