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

Understand the basic principles of supply and demand in a purely competitive market.

Analyze how market equilibrium price and quantity are determined in competitive markets.

Identify the relationship between cost structures (fixed, variable, and total costs) and pricing decisions in competitive firms.

Comprehend how firms in competitive markets make production decisions based on marginal analysis.

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Definitions:

Lung Cancer

A type of cancer that begins in the lungs and is often associated with smoking, characterized by uncontrolled cell growth in lung tissue.

Smoking Rates

The prevalence or incidence of tobacco smoking in a population, often measured as the percentage of individuals who smoke.

Lung Cancer Deaths

Fatal outcomes resulting from lung cancer, a type of cancer that begins in the lungs and is often associated with smoking.

Negative Reinforcing

A behavior modification process where the removal of an unpleasant stimulus strengthens a behavior.