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Question

The coordinates of the corner points of the bounded feasible region are (10,0), (2,4), (1,5) and (0,8). The maximum of objective function z=60x+10y is

A
700
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B
800
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C
600
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D
110
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Solution

The correct option is C 600
As the corner points are already given, substitute in z=60x+10y to find the maximum of objective function.
For (10,0), z=600+0=600
For (2,4), z=120+40=160
For (1,5), z=60+50=110
For (0,8), z=0+80=80

Hence, zmax=600

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