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Find the minimum value of Z=2x+y in the ...

Find the minimum value of `Z=2x+y` in the following region.

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The correct Answer is:
(i) Linear constraints are x + y `le` 50, 3x + y `le` 90, x `ge` 0 and y `ge` 0 and corner points are 0(0,0), A(30,0), B(20, 30) and C(0,50)..
(ii) Minimum value of Z is 2 at (1, 0).
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