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The minimum value of the objective funct...

The minimum value of the objective function Z=2x+10y for linear constraints ` x ge 0 , y ge 0, x -y ge 0, x -5y le -5 ` is

A

10

B

15

C

12

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Given Z=2x +10 y
Here, feasible region is undbounded .

At point ` A(5/4, 5/4) , Z=2 (5/4) +10 (5/4)=15 `
Now, this value of Z may be minimum value. We see that half plane determined by 2x + 1 Oy lt 15 has no point in common with the feasible region . So, Z has minimum value 15.
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