(Answered) Can someone help solve this business mathematics problem

Management Studies

Can someone help solve this business mathematics problem? Kindly show the calculation

An economy consists of three industries R, S and T. The interrelationships between the productions of these industries are as shown below. Units in "000" tonnes.

R S T Consumer Total

R 50 20 40 70 180

S 20 30 20 90 160

T 30 20 20 50 120

Required:

a) Determine the Leontief inverse matrix.

b) If the demand is expected to change for R, S and T and it becomes 60, 110 and 60 respectively, what must the total output be for each industry to satisfy this demand?

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