A Maximizing Linear Programming Problem Has Two Constraints: 2X

question 14

Multiple Choice

A maximizing linear programming problem has two constraints: 2X + 4Y ≤ 100 and 3X + 10Y ≤ 210, in addition to constraints stating that both X and Y must be nonnegative. What are the corner points of the feasible region of this problem?

• A) (0, 0), (50, 0), (0, 21), and (20, 15)
• B) (0, 0), (70, 0), (25, 0), and (15, 20)
• C) (20, 15)
• D) (0, 0), (0, 100), and (210, 0)
• E) (0, 0), (0, 25), (50, 0), (0, 21), and (70, 0)

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Definitions:

Bismuth

A chemical element with the symbol Bi, known for its crystalline structure and various applications including cosmetics and pharmaceuticals.

Calcium

A chemical element with the symbol Ca, an alkaline earth metal that is essential for living organisms, particularly in cell physiology and bone formation.

Chromium

A lustrous, hard, and brittle metallic element that is used primarily in metal alloys and as a compound in industrial processes.

Carbon

A chemical element with the symbol C and atomic number 6, essential for all life, known for its ability to form a vast number of compounds.