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

question 21

Multiple Choice

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

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