6. (12 pts) Suppose that an economy of a small nationn has an electroniics industry, a steel industry, and an auto industry 0.6 0.2 0.2 Electronics with the following technology matrix: 0.1 0.4 0.5 Steel 0.1 0.2 0.2 Auto a) For each 1000 automobiles, how many units of electronics and steel are required? b) If the nation wants to have surpluses of 100 units of electronics production, 272 units of steel production, and 200 automobiles, find the gross production of each industry. Write down the matrix equation and use the calculator to solve the equation. Clearly explain the conclusion in your own words