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The maximum value of z = 10x + 6y subjec...

The maximum value of z = 10x + 6y subject to constraints ` x ge 0, y ge 0, x +y le 12, 2x +y le 20` is

A

72

B

80

C

104

D

110

Text Solution

Verified by Experts

The correct Answer is:
C
Given , Z= 10x +6y and constriants are
` x ge 0`
`y ge 0`
` x+y le 12, and 2x +y le 20 `
The feasible region is OABCO.
` therefore ` Maximum of z must occurs of the correct points of the feasible reagain .

Hence , maximum vlaue of Z is 104

GIven objective function is Z =3x -4y .
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