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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

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

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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