A Linear Programming Problem Has Three Constraints: 2X + 10Y

question 6

Multiple Choice

A linear programming problem has three constraints: 2X + 10Y ≤ 1004X + 6Y ≤ 1206X + 3Y ≤ 90
What is the largest quantity of X that can be made without violating any of these constraints?

• A) 50
• B) 30
• C) 20
• D) 15
• E) 10

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Definitions:

Bark

External part of a tree, containing cork, cork cambium, and phloem.

Casparian Strip

A band of cell wall material found in plant roots that helps control the movement of water and nutrients between the soil and the vascular system.

Suberin

A waxy hydrophobic substance found in the cell walls of plants, acting as a barrier to water and solute movement.

Lignin

A complex organic polymer found in the cell walls of many plants, making them rigid and woody, and contributing to their structural support.