Linear Programming Question 80
Question: 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
Options:
A) 10
B) 15
C) 12
D) 8
Show Answer
Answer:
Correct Answer: B
Solution:
Required region is unbounded whose vertex is $ ( \frac{5}{4},\frac{5}{4} ) $ .
Hence the minimum value of objective function is $ =2\times \frac{5}{4}+10\times \frac{5}{4}=15 $ .
BETA
