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The maximum value of Z = 3x + 2y for lin...

The maximum value of Z = 3x + 2y for linear `x +y le 7, 2x + 3y le 16, x ge 0, y ge 0` is the objective function constraints

A

16

B

21

C

25

D

28

Text Solution

Verified by Experts

The correct Answer is:
B
The feasible region is OABCO.

Now, Z = 3x +2y
` At O(0,0) Z=0
At ` A(0, 16/3), Z = 32/3 `
At B(5,2), Z=15+4=19
At C(7,0) Z =21
`therefore ` Maximum value of Z is 21 .
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