Minimize $c = - x + 4 y$ subject to $$\begin{aligned}
y & \leq \frac { 3 x } { 4 } \
x & \leq 4 y \
y & \geq 3 \
x & \geq 4 \
x + y & \leq 15
\end{aligned}$$
A)Min: $c = - 8$ , $x = 4$ , $y = 3$
B) Min: $c = 8$ , $x = 4$ , $y = 3$
C) Min: $c = 0$ , $x = 12$ , $y = 3$
D) Min: $c = 1$ , $x = 12$ , $y = 3$
E) Min: $c = - 0$ , $x = 4$ , $y = 3$

Question

Minimize $c = - x + 4 y$ subject to   $$\begin{aligned}
y & \leq \frac { 3 x } { 4 } \
x & \leq 4 y \
y & \geq 3 \
x & \geq 4 \
x + y & \leq 15
\end{aligned}$$ 
A)Min: $c = - 8$ , $x = 4$ , $y = 3$
B) Min: $c = 8$ , $x = 4$ , $y = 3$
C) Min: $c = 0$ , $x = 12$ , $y = 3$
D) Min: $c = 1$ , $x = 12$ , $y = 3$
E) Min: $c = - 0$ , $x = 4$ , $y = 3$

Quizplus · Accepted Answer

The Answer of Minimize $c = - x + 4 y$ subject to   $$\begin{aligned}
y & \leq \frac { 3 x } { 4 } \
x & \leq 4 y \
y & \geq 3 \
x & \geq 4 \
x + y & \leq 15
\end{aligned}$$ 
A)Min: $c = - 8$ , $x = 4$ , $y = 3$
B) Min: $c = 8$ , $x = 4$ , $y = 3$
C) Min: $c = 0$ , $x = 12$ , $y = 3$
D) Min: $c = 1$ , $x = 12$ , $y = 3$
E) Min: $c = - 0$ , $x = 4$ , $y = 3$

Minimize c=−x+4yc = - x + 4 yc=−x+4y Subject To y≤3x4x≤4yy≥3x≥4x+y≤15\begin{aligned}y & \leq \frac { 3 x } { 4 } \\x & \leq 4 y \\y & \geq 3 \\x & \geq 4 \\x + y & \leq 15\end{aligned}yxyxx+y​≤43x​≤4y≥3≥4≤15​

Minimize $c = - x + 4 y$ Subject To $\begin{aligned}y & \leq \frac { 3 x } { 4 } \\x & \leq 4 y \\y & \geq 3 \\x & \geq 4 \\x + y & \leq 15\end{aligned}$