Select the Region Determined by the Constraints

question 209

Multiple Choice

Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 9x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​

• A)​ Minimum at (0, 5): 40
• B)​ Minimum at (0, 5): 41
• C)​ Minimum at (4, 1): 44
• D)​ Minimum at (6, 0): 54
• E)​ No minimum

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