Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the maximum possible value of $f = 6 x + 7 y$ subject to the following constraints:
$$\left\{ \begin{array} { l }
2 x + 3 y \leq 12 \
2 x + y \leq 8 \
x \geq 0 , y \geq 0
\end{array} \right.$$
A) 32
B) 52
C) 13
D) 24

Question

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the maximum possible value of $f = 6 x + 7 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 
2 x + 3 y \leq 12 \
2 x + y \leq 8 \
x \geq 0 , y \geq 0
\end{array} \right.$$
A) 32
B) 52
C) 13
D) 24

Quizplus · Accepted Answer

The vertices of the feasible region are (0,0), (0,4), (3,2), and (4,0). Evaluating the objective function $f = 6x + 7y$ at these points gives: $f(0,0) = 0$, $f(0,4) = 28$, $f(3,2) = 32$, and $f(4,0) = 24$. The maximum value is 32 at (3,2).

Use the Given Feasible Region Determined by the Constraint Inequalities f=6x+7yf = 6 x + 7 yf=6x+7y

Use the Given Feasible Region Determined by the Constraint Inequalities $f = 6 x + 7 y$