Refer to the feasible region defined by the following constraints to answer the following questions :
$\begin{array} { l }
x + y \leq 6 \
x + 2 y \leq 8 \
x \geq 0 \
y \geq 0
\end{array}$
-If the profit formula is $P = 4 x + 4 y$ what is the maximum profit?
A) 10
B) 20
C) 24
D) 30

Question

Refer to the feasible region defined by the following constraints to answer the following questions : 
$\begin{array} { l } 
x + y \leq 6 \
x + 2 y \leq 8 \
x \geq 0 \
y \geq 0
\end{array}$
-If the profit formula is $P = 4 x + 4 y$ what is the maximum profit?
A) 10
B) 20
C) 24
D) 30

Quizplus · Accepted Answer

The maximum profit can be found by evaluating the profit formula $P = 4x + 4y$ at the vertices of the feasible region defined by the given constraints. The vertices can be found by solving the system of equations formed by the intersection of the constraints. The vertices are (0,0), (0,4), (2,3), and (6,0). Evaluating the profit formula at these points gives $P(0,0) = 0$, $P(0,4) = 16$, $P(2,3) = 20$, and $P(6,0) = 24$. Therefore, the maximum profit is 24.

Refer to the Feasible Region Defined by the Following Constraints x+y≤6x+2y≤8x≥0y≥0\begin{array} { l } x + y \leq 6 \\x + 2 y \leq 8 \\x \geq 0 \\y \geq 0\end{array}x+y≤6x+2y≤8x≥0y≥0​

Refer to the Feasible Region Defined by the Following Constraints $\begin{array} { l } x + y \leq 6 \\x + 2 y \leq 8 \\x \geq 0 \\y \geq 0\end{array}$