Find the Minimum Value of the Objective Function and Where

question 37

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 16y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​ ​

• A)Minimum at (0,0): 0
• B)Minimum at (6,0): 49
• C)Minimum at (0,6): 48
• D)Minimum at (12,0): 192
• E)Minimum at (0,12): 193

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