A Linear Programming Problem Has Three Constraints,plus Nonnegativity Constraints on X

question 60

Multiple Choice

A linear programming problem has three constraints,plus nonnegativity constraints on X and Y.The constraints are: 2X + 10Y ≤ 100;4X + 6Y ≤ 120;6X + 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:

Dosage

The size or frequency of a dose of a medicine or drug that has been officially recommended.

Observational Study

A study in which the researcher observes outcomes without manipulating the study environment or subjects.

Experiment

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact by observing and measuring the effect of varying an independent variable.

Dosage

The size or frequency of a dose of a medicine or drug that has been recommended.