Minimize $c = 3 x - 3 y$ subject to $$\begin{aligned}
\frac { x } { 6 } & \leq y \
y & \leq \frac { 2 x } { 3 } \
x + y & \geq 5 \
x + 3 y & \leq 20 \
x \geq 0 , y & \geq 0
\end{aligned}$$
A) $c = 3$ , $x = 2$ , $y = 3$
B) $c = 6$ , $x = 2$ , $y = 3$
C) $c = 3$ , $x = 3$ , $y = 2$
D) the feasible region is empty
E) the objective function is unbounded

Question

Minimize $c = 3 x - 3 y$ subject to   $$\begin{aligned}
\frac { x } { 6 } & \leq y \
y & \leq \frac { 2 x } { 3 } \
x + y & \geq 5 \
x + 3 y & \leq 20 \
x \geq 0 , y & \geq 0
\end{aligned}$$  
A) $c = 3$ , $x = 2$ , $y = 3$
B) $c = 6$ , $x = 2$ , $y = 3$
C) $c = 3$ , $x = 3$ , $y = 2$
D) the feasible region is empty
E) the objective function is unbounded

Quizplus · Accepted Answer

The Answer of Minimize $c = 3 x - 3 y$ subject to   $$\begin{aligned}
\frac { x } { 6 } & \leq y \
y & \leq \frac { 2 x } { 3 } \
x + y & \geq 5 \
x + 3 y & \leq 20 \
x \geq 0 , y & \geq 0
\end{aligned}$$  
A) $c = 3$ , $x = 2$ , $y = 3$
B) $c = 6$ , $x = 2$ , $y = 3$
C) $c = 3$ , $x = 3$ , $y = 2$
D) the feasible region is empty
E) the objective function is unbounded

Minimize c=3x−3yc = 3 x - 3 yc=3x−3y Subject To A) c=3c = 3c=3

Minimize $c = 3 x - 3 y$ Subject To A) $c = 3$