A Linear Programming Problem Has Two Constraints 2X + 4Y

question 20

Multiple Choice

A linear programming problem has two constraints 2X + 4Y ≥ 100 and 1X + 8Y ≤ 100, plus nonnegativity constraints on X and Y. Which of the following statements about its feasible region is true?

• A) There are four corner points including (50, 0) and (0, 12.5).
• B) The two corner points are (0, 0) and (50, 12.5).
• C) The graphical origin (0, 0) is in the feasible region.
• D) The feasible region is triangular in shape, bounded by (50, 0), (33-1/3, 8-1/3), and (100, 0).
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

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Definitions:

Optimal Efficiency

The most advantageous level of efficiency where resources are utilized in a way that maximizes output or benefits without waste.

Operating

refers to the day-to-day functions and activities carried out in managing an organization or business.

Output

The total amount of goods and services produced by a business, industry, or economy within a particular time frame.

Profit-Maximizing

The process or strategy of adjusting production and pricing to achieve the highest possible profit based on the cost of production and market demand.