Answer to Question #295633 in Linear Algebra for abhii

Question

The inter-industry flow of the products of three industries is given below:

Production Sector Consumption Sector Domestic

Demand

Total Output

X Y Z

X 45 12 10 83 150

Y 30 48 10 32 120

Z 45 12 30 13 100

Labour Hours 75 48 20

(a) Determine the input-output matrix and test Hawkins- Simon conditions for the

viability of the system.

(b) If the domestic demand changes to 90,40 and 30 units respectively, what should

be the gross output of each sector in order to meet the demands.

(c) If the total labour available if 180 hours, is the solution feasible?

(d) Find the equilibrium prices if the wage rate is Rs.200.