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in Linear Programming by (50.2k points)
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The feasible region for a LPP is shown in Fig.. Find the minimum value of Z = 11x + 7y.

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by (55.4k points)
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Best answer

In the given figure, it’s seen that the feasible region is ABCA. The corner points are C(0, 3), B(0, 5) and for A, we have to solve equations

x + 3y = 9 and

x + y = 5

(-)_(-)_(-)

2y = 4 ⇒ y = 2

And, putting value of y in the equation we get x = 3

So, the corner point is A(3, 2).

Now, evaluating the value of Z we get

From the above table it’s seen that the minimum value of Z is 21.

Therefore, the minimum value of the function Z is 21 at (0, 3).

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