Select the Region Determined by the Constraints

question 25

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 = 7x + 6y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​

• A) ​Minimum at (2,0): 14
• B) Minimum at (0,2): 15
• C) Minimum at (0,10): 60
• D) Minimum at (0,4): 29
• E) Minimum at (4,0): 14

Recognize the onset of diminishing returns to labor.

Calculate total product from marginal products.

Analyze scenarios to identify instances of increasing and diminishing marginal returns.

Distinguish between the short-run application of the law of diminishing returns and its implications.

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