Find the Maximum Value of the Objective Function and Where

question 11

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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