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:

Movie Tickets

A form of voucher or certificate that entitles the holder to admission to a film screening.

Elastic

Describes a situation where a change in one variable, such as price, leads to a significant change in another variable, such as demand.

Price Elasticity of Demand

An indicator of consumer sensitivity to price fluctuations, represented by the degree to which the demand for a product varies in response to alterations in its price.

Absolute Value

The distance of a number from zero on a number line, without considering its direction; always a positive number or zero.