What combination of x and y will yield the optimum for this problem? Maximize $ Z=\$ 3 x+\$ 15 y $

$\begin{array}{l}
\text{Subject to:}&2 x+4 y \leq 12 \
&5 x+2 y \leq 10
\end{array}$
A) x = 2, y = 0
B) x = 0, y = 0
C) x = 0, y = 3
D) x = 1, y = 5
E) x = 0, y = 4

Question

What combination of x and y will yield the optimum for this problem? Maximize $ Z=\$ 3 x+\$ 15 y $

$\begin{array}{l}
\text{Subject to:}&2 x+4 y \leq 12 \
&5 x+2 y \leq 10
\end{array}$
A) x = 2, y = 0
B) x = 0, y = 0
C) x = 0, y = 3
D) x = 1, y = 5
E) x = 0, y = 4

Quizplus · Accepted Answer

The feasible region is determined by the constraints. Evaluating the objective function $ Z = 3x + 15y $ at the vertices of the feasible region, the maximum value occurs at $ x = 0, y = 3 $.

What Combination of X and Y Will Yield the Optimum Z=$3x+$15y Z=\$ 3 x+\$ 15 y Z=$3x+$15y

What Combination of X and Y Will Yield the Optimum $Z=\$ 3 x+\$ 15 y$