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?