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    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

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