Matrices and Determinants
Applications of Differentiation
Descriptive Statistics and Probability
Correlation and Regression Analysi
1.3.1 The Hawkins – Simon conditions
The technology matrix of an economic system of two industries is `|(0.50,0.30),(0.41,0.33)|` Test whether the system is viable as per Hawkins Simon conditions.
The technology matrix of an economic system of two industries is `|(0.6,0.9),(0.20,0.80)|`.
Test whether the system is viable as per Hawkins-Simon conditions.
The technology matrix of an economic system of two industries is `|(0.50,0.25),(0.40,0.67)|`. Test whether the system is viable as per Hawkins-Simon conditions.
Two commodities A and B are produced such that 0.4 tonne of A and 0.7 tonne of B are required to produce a tonne of A. Similarly 0.1 tonne of A and 0.7 tonne of B are needed to produce a tonne of B. Write down the technology matrix. If 68 tonnes of A and 10.2 tonnes of B are required, find the gross production of both of them.
Suppose the inter-industry flow of the product of two industries are given as under.
|Production sector||Consumption sector||Domestic demand||Total output|
Determine the technology matrix and test Hawkin’s -Simon conditions for the viability of the system. If the domestic demand changes to 80 and 40 units respectively, what should be the gross output of each sector in order to meet the new demands.
You are given the following transaction matrix for a two-sector economy.
- Write the technology matrix
- Determine the output when the final demand for the output sector 1 alone increases to 23 units.
Suppose the inter-industry flow of the product of two sectors X and Y are given as under.
|Production Sector||Consumption sector||Domestic demand||Gross
Find the gross output when the domestic demand changes to 12 for X and 18 for Y.