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

question 33

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = 5x + y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?

• A)Maximum at (0,5): 5
• B)Maximum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : \(\frac { 239 } { 6 }\)
• C)Maximum at (0,0): 0
• D)No maximum
• E)Maximum at \(\left( \frac { 21 } { 2 } , 0 \right)\) : \(\frac { 105 } { 2 }\)

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Definitions:

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