Find the maximum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = 12x + 24y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?
A)Maximum at (0,5): 120
B)Maximum at $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$ : 164
C)No maximum
D)Maximum at $\left( \frac { 21 } { 2 } , 0 \right)$ : 126
E)Maximum at (0,0): 0

Question

Quizplus · Accepted Answer

The feasible region is bounded, and the maximum value of the objective function occurs at the vertex $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$, giving a maximum value of 164.

Find the Maximum Value of the Objective Function and Where (223,196)\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)(322​,619​)

Find the Maximum Value of the Objective Function and Where $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$