Mathematics Part-II

Book: Mathematics Part-II

Chapter: 12. Linear Programming

Subject: Maths - Class 12th

Q. No. 1 of Exercise 12.1

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Maximise Z = 3x + 4y subject to the constraints : x + y ≤ 4, x ≥ 0, y ≥ 0.

It is given in the question that,

Z = 3x + 4y


We have to subject on the following equation:


x ≥ 0, y ≥ 0, x + y ≤ 4



(x, y) = (0, 4), (4, 0)




We can clearly see that Z is maximum at (0, 4). Hence, maximum value of Z will be 16


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