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:

Tribal Leaders

Individuals recognized for their authority, leadership, and influence within tribal societies, often responsible for decision-making and guidance.

Enforce Authority

The act of implementing or ensuring compliance with laws, rules, or decisions by those in power.

Legal Sanctions

Penalties or coercive measures that are imposed by law to enforce compliance with legal norms and regulations.

Kin-Ordered Society

A society organized around family relationships, where social roles and status are determined largely by kinship ties rather than individual achievement.