Find the minimum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = x + 4y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
A)Minimum at (0,0): 0
B)Minimum at (0,5): 20
C)Minimum at (0,18): 72
D)Minimum at $\left( 0 , \frac { 21 } { 2 } \right) : 42$
E)No minimum

Question

Quizplus · Accepted Answer

The minimum value of the objective function Z = x + 4y occurs at the origin (0,0) under the given constraints, resulting in Z = 0. This is because both x and y are non-negative (x ≥ 0, y ≥ 0), and all other constraints restrict the values of x and y further, making (0,0) the point that minimizes Z within the feasible region.

Find the Minimum Value of the Objective Function and Where (0,212):42\left( 0 , \frac { 21 } { 2 } \right) : 42(0,221​):42

Find the Minimum Value of the Objective Function and Where $\left( 0 , \frac { 21 } { 2 } \right) : 42$