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    Maximize profit = 5x + 6y subject to 2x + y < 120 2x + 3y < 240 x,y > 0

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    Consider the following LP problem:

    Maximize profit = 5x + 6y
    subject to 2x + y < 120
    2x + 3y < 240
    x,y > 0

    a) What is the optimal solution to this problem? Solve it graphically.
    b) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution?
    c) Instead of an increase in the profit coefficent x to $8, suppose that profit was overestimated and should have only been $3. Does this change the optimal solution?

    Consider the above LP formulation. if the second constraint is changed from 2x + 3y <240 to 2x + 4y < 240, what affect will this have on the optimal solution?

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    https://brainmass.com/business/accounting/calculating-optimal-solution-495988

    Solution Summary

    This solution shows how to calculate the optimal solution for a given LP problem.

    $2.19

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