Use MATLAB for the following problem. Show work.

5. An industrial system involves manufacturing, transportation, and agriculture. To produce a dollars worth of manufacturing, it requires $0.4 input from manufactuing, S0.2 input from transportation, and S.1 input from agriculture. To produce a dollars worth of transportation, it requires $0.3 input from manufactuing, S0.2 input from transportation, and $.1 input from agriculture. To produce a dollars worth of agriculture, it requires So.1 input from manufactuing, S0.2 input from transportation, and $.4 input from agriculture. (a) What is the input-output matrix A for this economy? (b) Use Matlab to find (I - A)-1 (c) Use Matlab to solve the system X - Ax - D, where the consumer demand is $100 million worth of manufacturing, $80 million worth of transportation, and $200 miltion worth of agriculture. (d) Use Matlab to find out how much of the output of each sector is used to meet internal consumption