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

question 73

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 not in the feasible region.
• D) The feasible region includes all points that satisfy one constraint, the other, or both.
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

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Definitions:

Buyers' Value

The maximum amount a purchaser is willing to pay for a good or service, reflecting the perceived utility or satisfaction from the purchase.

Price Comparison

The action of comparing prices of specific goods or services across different sellers or providers, aiming to find the most cost-effective option.

Line Segment

A part of a line that is bounded by two distinct endpoints, and contains every point on the line between its endpoints.

Producer Surplus

The difference between what producers are willing to accept for a good or service and the actual price they receive.