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:

Linear Equation

A formula involving two variables that results in a linear plot on a chart.

Discount

A reduction applied to the usual cost of goods or services.

Markup Rate

The percentage added to the cost price of goods to cover overhead and profit.

Markup

The amount added to the cost price of goods to cover overhead and profit.