Find the Minimum Value of the Objective Function and Where

question 41

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the constraints: ​
Objective function:
​
Z = 4x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
3x + y ≤ 15
4x + 3y ≤ 30
​

• A)Minimum at (3,0): 12
• B)Minimum at (0,6): 28
• C)Minimum at (3,6): 18
• D)Minimum at (0,0): 0
• E)Minimum at (6,3): 27

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