Select the Region Determined by the Constraints

question 41

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 3x + 2y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​
​

• A) Maximum at (0, 10): 20
• B) Maximum at (2, 0): 6
• C)​ Maximum at (10, 0): 13
• D)​ Maximum at (0, 4): 7
• E)​ Maximum at (4, 0): 12

---

Definitions:

Labor Supply Curve

A graph showing the relationship between wages and the quantity of labor workers are willing to offer, usually portraying a positive correlation.

Backward Sloping

Describes a demand curve that defies the usual law of demand, showing less quantity purchased as the price decreases.

Labor-supply Curve

A visual chart that displays the connection between the amount of work provided by employees and the rate of pay.

Labor

The physical and mental exertion of humans utilized in creating goods and services.