Find the Minimum Value of the Objective Function and Where

question 20

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + 3y ≤ 15
4x + y ≤ 16​ ​

• A)Minimum at (3,4): 40
• B)Minimum at (0,0): 0
• C)Minimum at (0,5): 35
• D)Minimum at (4,3): 37
• E)Minimum at (4,0): 16

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