Maximize Z = 3x + 2y subject to x + 2y ≤ 10, 3x + y ≤ 15, x, y ≥ 0.


It is given in the question that,

Z = 3x + 2y


We have to subject on the following equation:


x +2y ≤ 10, 3x+y ≤ 15, x, y ≥ 0


3x+y ≤ 15



(x, y) = (0, 15), (5, 0)




(x, y) = (0, 5), (10, 0)




We can clearly see that Z is maximum at (4, 3). Hence, maximum value of Z will be 18


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