Producing one lot of doohickeys requires 0.4 lots of doohickeys and 1.7 lots of thingomajigs; producing one lot of thingomajigs requires 0.1 lots of doohickeys and 0.2 lots of thingomajigs.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Producing one lot of doohickeys requires 0.4 lots of doohickeys and 1.7 lots of thingomajigs; producing one lot of thingomajigs requires 0.1 lots of doohickeys and 0.2 lots of thingomajigs.

**Technology and Production Schedule in Economics**

**What is the technology matrix for this economy?**

The technology matrix (A) is represented as a 2x2 grid. Each cell within the grid appears to be designed to hold individual data points or numbers, which will represent various technological coefficients affecting production in the economy.

**Matrix A:**

\[ 
\begin{bmatrix}
a_{11} & a_{12} \\
a_{21} & a_{22}
\end{bmatrix}
\]

Here, each variable (a_{11}, a_{12}, a_{21}, a_{22}) stands as a placeholder indicating where specific data or values would typically be inserted.

**What production schedule X should be set in order to meet a demand of 150 lots of doohickeys and 25 lots of thingamajigs?**

The production schedule (X) is also shown as a column vector. It is intended to display the production amounts required to meet specific demand levels stipulated for two distinct products, doohickeys, and thingamajigs.

**Vector X:**

\[ 
\begin{bmatrix}
x_1 \\
x_2
\end{bmatrix}
\]

In this format, x_1 and x_2 will be populated based on calculations derived from the technology matrix and the specified demand (150 lots of doohickeys and 25 lots of thingamajigs).
Transcribed Image Text:**Technology and Production Schedule in Economics** **What is the technology matrix for this economy?** The technology matrix (A) is represented as a 2x2 grid. Each cell within the grid appears to be designed to hold individual data points or numbers, which will represent various technological coefficients affecting production in the economy. **Matrix A:** \[ \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} \] Here, each variable (a_{11}, a_{12}, a_{21}, a_{22}) stands as a placeholder indicating where specific data or values would typically be inserted. **What production schedule X should be set in order to meet a demand of 150 lots of doohickeys and 25 lots of thingamajigs?** The production schedule (X) is also shown as a column vector. It is intended to display the production amounts required to meet specific demand levels stipulated for two distinct products, doohickeys, and thingamajigs. **Vector X:** \[ \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} \] In this format, x_1 and x_2 will be populated based on calculations derived from the technology matrix and the specified demand (150 lots of doohickeys and 25 lots of thingamajigs).
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