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The maximum vlaue of Z = 9x+13y subjec...

The maximum vlaue of ` Z = 9x+13y ` subject to constraints ` 2x+3yle 18, 2x+y le 10, x ge 0, y ge 0 ` is

A

130

B

81

C

79

D

99

Text Solution

Verified by Experts

The correct Answer is:
C
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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