Find the Maximum Value of the Objective Function and Where

question 10

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 5y
​
Constraints:
​
X ≥ 0
​3x - y ≤ 9
2x + 3y ≥ 6
X + 4y ≤ 16
​​ ​

• A)Maximum at (3, 0): 12
• B)Maximum at (3, 4): 32
• C)Maximum at (4, 3): 31
• D)Maximum at (0, 4): 20
• E)Maximum at (0, 2): 10

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