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

question 43

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = 8x + y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?

• A)Minimum at (0,0): 0
• B)Minimum at (5,0): 40
• C)Minimum at \[\left( \frac { 21 } { 2 } , 0 \right)\] : 84
• D)Minimum at (18,0): 144
• E)No minimum

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