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:

Estimated

Approximately calculated or approximated based on available information.

February

The month that follows January and precedes March in the Gregorian calendar system.

Net Operating Income

The amount a business earns after deducting its operational costs, not including taxes and interest expenses.

Variable Costing

An accounting method that includes only variable production costs—direct materials, direct labor, and variable manufacturing overhead—in unit product costs.