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Question

Minimise Z=3x+2y
subject to the constraints:
x+y8...(1)
3x+5y15...(2)
x0,y0...(3).

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Solution

Let us graph the inequalities (1)
(1) to (3)(3) (Fig).
From Fig, you can see that there is no point satisfying all the constraints simultaneously. Thus, the problem is having no feasible region and hence no feasible solution.

818367_846787_ans_8b59c9f00d704c2487fed7c897c26956.png

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