# Linear Programming : Maximizing Profit

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I am doing a linear programming model and need to graph on a grid line and I have the constraints, but do not know how to do the alegra part:

Contraints:

45c + 30b= 180

3c + 8b = 20

(c, b < or equal to 0)

Max profit = 10c + 6b

I can not solve for the variables c and b. The answers are in the back of the book (4,0) but I don't know how to do it.

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#### Solution Preview

I believe your condition is wrong due to your answer (4,0).

The constraints should be:

45c + 30b <= 180

3c + 8b <=20

b >=0

c >=0

So we need to find the feasible region.

Solve the ...

#### Solution Summary

Linear programming is examined for maximizing profits on grid lines.

$2.49