Question

The minimum value of the objective function $Z = 2 x + 10 y$

for linear constraints $x - y \geq 0 , x - 5 y \leq - 5$and $x , y \geq 0$ is

• A. 10
• B. 15
• C. 12
• D. 8

Answer 1

Answer: (B)

15

Answer 2

Required region is unbounded whose vertex is $\left( \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)$

Hence the minimum value of objective function is

$= 2 \times \frac { 5 } { 4 } + 10 \times \frac { 5 } { 4 } = 15$ .