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in Linear Programming by (25.7k points)
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Maximize = 60x + 15y, subject to the constraints 

x + y ≤ 50, 3x + ≤ y90, x, y ≥ 0.

1 Answer

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Best answer

The feasible region determined by the constraints x + y ≤ 50, 3x + y ≤ 90, x, y ≥ 0. is given by

The corner points of feasible region are A(0,0) ,B(0,50) ,C(20,30), D(30,0) . 

The values of Z at the following points is

Corner Point Z = 60x + 15y
A(0, 0) 0
B(0, 50) 750
C(20, 30) 1650
D(30, 0) 1800 Maximum

The maximum value of Z is 1800 at point A(30,0) .

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