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Find graphically, the maximum value of Z = 2x + 5y, subject to constraints given below :

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Find graphically, the maximum value of Z = 2x + 5y, subject to constraints given below : 

2x+4y ≤ 8 or  x+2y ≤ 4

3x+y ≤ 6

x+y ≤ 4

x ≥ 0, y ≥ 0

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Vertices of feasible regions are : A(0, 2),B(1.6, 1.2) and C(2,0).

Hence, Z = 2x + 5y is maximum at A(0, 2) ancl maximum value is 10.

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