Find the maximum value of z = 3x + 4y subject to constraints x + y ≤ 4, x ≥ 0 and y ≥ 0

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Solution

The correct option is C
16

Graphically the problem can be represented as shown the shaded region represent the feasible region

We will use corner point method to find the maximum value.

Maximum value of z = 16 at (0, 4)

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Similar questions

z = 3 x + 4 y

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Maximum Z=3x +4y, subject to the constraints $x + y \leq 1, x \leq 0, y \leq 0$ .

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Z = 3 x + 4 y

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