Given the Technology Matrix A, and an External Demand Vector $A = \left[ \begin{array} { l l } 0.4 & 0.3 \\0.1 & 0.2\end{array} \right]$

question 97

Multiple Choice

Given the technology matrix A, and an external demand vector D, find the production vector X.
$A = \left[ \begin{array} { l l } 0.4 & 0.3 \\0.1 & 0.2\end{array} \right]$ , $D = \left[ \begin{array} { l } 30,000 \\25,000\end{array} \right]$

• A) \(X = \left[ \begin{array} { l }
• 40,000 \\
• 70,000
• \end{array} \right]\)
• B) \(X = \left[ \begin{array} { l }
• 70,000 \\
• 40,000
• \end{array} \right]\)
• C) \(X = \left[ \begin{array} { l }
• 64,000 \\
• 40,000
• \end{array} \right]\)
• D) \(X = \left[ \begin{array} { l }
• 70,000 \\
• 64,000
• \end{array} \right]\)
• E) \(X = \left[ \begin{array} { l }
• 40,000 \\
• 64,000
• \end{array} \right]\)

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Definitions:

Production Possibility Frontier

A graphical illustration showing the maximum attainable combinations of two products that can be produced with available resources and technology, highlighting the trade-offs and opportunity costs.

Consumer Tastes

Consumer Tastes denote the preferences and desires that influence the buying behavior of consumers, often affected by cultural, social, and personal factors.

Capital Goods

Long-lasting goods that are used in the production of other goods or services, such as machinery, equipment, and buildings.

Production Possibility Frontier

A graphical representation depicting the maximum output possibilities for two goods, given a set of inputs, highlighting the trade-offs in production choices.