Find the Minimum Value of the Objective Function and Where

question 85

Multiple Choice

Find the minimum 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)Minimum at (0, 2): 10
• B)Minimum at (4, 3): 31
• C)Minimum at (0, 3): 11
• D)Minimum at (3, 0): 12
• E)Minimum at (0, 4): 20

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