Find the Maximum Value of the Objective Function and Where $\ge$

question 87

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the constraints:
Objective function:

Z = x + 9y

Constraints:

X $\ge$ 0
Y $\ge$ 0
X + 4y $\le$ 20
X + y $\le$ 18
2x + 2y $\le$ 21

• A)Maximum at (0, 5): 45
• B)Maximum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : \(\frac { 215 } { 6 }\)
• C)No maximum
• D)Maximum at (0, 0): 0
• E)Maximum at \(\left( \frac { 21 } { 2 } , 0 \right)\) : \(\frac { 21 } { 2 }\)

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Definitions:

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The process of planning, organizing, directing, and controlling the financial resources and spending of an organization or project to achieve its objectives.

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