Suppose That the Optimal Values of the Decision Variables to a Two-Variable

question 31

Multiple Choice

Suppose that the optimal values of the decision variables to a two-variable linear programming problem remain the same as long as the slope of the objective function lies between the slopes of the following two constraints:
2X₁ + 3X₂ ≤ 26
2X₁ + 2X₂ ≤20
The current objective function is:
8X₁+ 9X₂ = Z
Which of the following statements about the range of optimality on c₁ is TRUE?

• A) 0 ≤ c₁ ≤ 2
• B) 2 ≤ c₁ ≤ 6
• C) 6 ≤ c₁ ≤ 9
• D) 9 ≤c₁ ≤ 12

---

Definitions:

Deer Hunter

A person who pursues deer as wild game, typically for food, sport, or management of deer populations.

Small Business

A privately owned corporation, partnership, or sole proprietorship that has fewer employees and less annual revenue compared to larger businesses.

Tree Stand

usually refers to a platform or structure designed to elevate the hunter above ground level during hunting activities.

Intellectual Capital

The intangible value of a business, specifically human knowledge, relationships, and organizational innovation that gives it a competitive edge.