• Choice D

    To maximize the value of P(x,y), you must maximize the value of 4x + 3y.

    At point B, P(x,y) = 4 • 0 + 3 • 4 = 12.

    At point C, P(x,y) =4 • 4 + 3 • 0 = 16.

    The value of P(x,y) is higher at point C then at point B and points B and C are connected by a straight line delineating an edge of the shaded region, no other points along this line or anywhere else in the shaded region can have a higher value than point C.

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