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Question

The maximum value of z=9x+13y subject to 2x+3y18,2x+y10,x0,y0 is

A
130
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B
81
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C
79
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D
99
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Solution

The correct option is D 79
The feasible region is OABC.
At O(0,0),z=0
At A(5,0),z=45
At B(3,4),z=27+52=79
At C(0,6),z=78
MAximum value of z is 79.

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