Match Each Equation, Inequality, or System with the Graph of Its

question 105

Multiple Choice

Match each equation, inequality, or system with the graph of its solution.
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• A) \(\left\{ \begin{array} { l } 4 x + 3 y \geq - 4 \\ 4 x - 3 y \leq - 4 \end{array} \right.\)
• B) \(4 x + 3 y = - 12\)
• C) \(\left\{ \begin{array} { l } 4 x + 3 y = - 12 \\ 4 x - 3 y = - 12 \end{array} \right.\)
• D) \(4 x - 3 y \geq - 4\)

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Definitions:

Pareto Optimal

An allocation of resources from which it is impossible to reallocate to make any one individual better off without making at least one individual worse off.

Utility Function

A mathematical representation used in economics to model the satisfaction or happiness a consumer derives from consuming goods and services.

Edgeworth Box

A diagram used in microeconomics to show the distribution of resources and the optimality of trade-offs between two agents in an economy.

Pareto Efficient

A condition where resources are distributed in such a manner that improving the situation of one person necessitates the detriment of another.