Question 2 (1.5p): A country has three production sectors: Agriculture (NN), Industry (CN), and Services (DV).
Knowing that to produce 1 USD of output value, we have the following information.
- The agricultural sector needs to use 0.3 USD of its value; 0.2 USD buys industrial goods and 0.2 USD buys service industry goods.
- The industrial sector needs to use 0.3 USD of its value; 0.2 USD buys agricultural goods and 0.3 USD buys service industry goods.
- The service sector needs to use 0.3 USD of its value; 0.1 USD buys agricultural goods and 0.4 USD buys industrial goods.
a. Find an input matrix (A) for this economy.
b. Estable the Input-Output model in this case.
c. Find the total output \( x 1, x 2, x 3 \) of each sectors to satisfy final demand as \( 85,40,5 \) respectively. (Note: results are used to 2 decimal places).