In a Linear Programming Problem Involving Two Decision Variables,a Change

question 35

Multiple Choice

In a linear programming problem involving two decision variables,a change in one of their coefficients will:

• A)always change the optimal solution since the slope of the objective function changes.
• B)typically change the feasible region till a stage,beyond which the constraint functions become nonbinding.
• C)never change the optimal solution as the other coefficient is still fixed.
• D)change the optimal solution only if the slope of the objective function's contour changes significantly.
• E)their shadow prices although the constraints are not affected directly.

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Definitions:

Consumption Bundle

A combination of various goods and services that an individual consumes at a given time.

Slope

In mathematics, the rate at which a line rises or falls relative to a horizontal distance.

Indifference Curves

Graphs showing different bundles of goods between which a consumer is indifferent, reflecting the consumer's preferences and trade-offs.

Bundle

A combination of goods or services that are sold together as a single package.