Use Linear Programming to Solve Problems
-$$\begin{array} { l l }
\text { Objective Function } & \mathrm { z } = 8 \mathrm { x } - 17 \mathrm { y } \
\text { Constraints } & 0 \leq x \leq 5 \
& 0 \leq y \leq 8 \
& 4 x + 5 y \leq 30 \
& 4 x + 3 y \leq 20
\end{array}$$
A) Maximum: 40; at $( 5,0 )$
B) Maximum: 0 ; at $( 0,0 )$
C) Maximum: $- 75$; at $( 1.25,5 )$
D) Maximum: $- 102$; at $( 0,6 )$

Question

Use Linear Programming to Solve Problems
-$$\begin{array} { l l } 
\text { Objective Function } & \mathrm { z } = 8 \mathrm { x } - 17 \mathrm { y } \
\text { Constraints } & 0 \leq x \leq 5 \
& 0 \leq y \leq 8 \
& 4 x + 5 y \leq 30 \
& 4 x + 3 y \leq 20
\end{array}$$
A) Maximum: 40; at $( 5,0 )$
B) Maximum: 0 ; at $( 0,0 )$
C) Maximum: $- 75$; at $( 1.25,5 )$
D) Maximum: $- 102$; at $( 0,6 )$

Quizplus · Accepted Answer

The maximum value of the objective function $z = 8x - 17y$ occurs at the corner point $(5,0)$ when considering the given constraints. By substituting $x = 5$ and $y = 0$ into the objective function, we get $z = 8(5) - 17(0) = 40$, which is the maximum value.

Use Linear Programming to Solve Problems - A) Maximum: 40; At

Use Linear Programming to Solve Problems
- A) Maximum: 40; At