Leontieff model, I odnt really under stand it. for example for the industry A i got the equation x1=2x1 +5x2 +8x3 whereas in the answer the numbers have been divided by 10 for some reason.
Consider an economy divided into an agricultural
sector (A), an industrial sector (I), and a service sector (S). To produce
20 units in sector A requires 2 units from sector A and 5 units from
sector I. To produce 10 units in sector I requires 5 units from sector
A, 5 units from sector I, and 8 units from sector S. To produce 10
units in sector S requires 8 units from sector A and 2 units from sector
S. The final demands are 20 units in sectors A and S, and 0 in sector
I. Production is linear.
(a) Write down the system of equations describing the economy.
(b) Solve the system.
Appreciate any help.