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    Hi, I was doing a linear programming question which was:

    The objective function is P= 300x + 500y

    Subject to the constraints:

    7x + 8y ≤ 112
    x + 2y ≤ 20
    2x + 3y ≤ 33
    x ≥ 0
    y ≥ 0

    a) On graph paper, illustrate all the inequalities, indicating clearly the feasible region. (I have done this part of the Q already)

    b) Determine the number of x and y that should be made each week and the maximum profit gained.

    This was the bit that I was confused about because I wasn't sure what the last point that the objective line touched before leaving the feasible region. Would it be the point where lines 2x+3y=33 and
    x+2y=20 meet which means that x = 6, y = 7 and the maximum profit = £5300?

    Thank you for all your help in advance,

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Updated: January 26, 2010
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