3. LeontiefInputOutput Model: An economy consists of three sectors: agriculture, industry and services. To produce $1 worth of agricultural output, the agricultural sector requires $0.3 of its own output, $0-1 of industrial out-put and 350.4 of services output. On the other hand, to produce $1 WOI't-h of industrial output, the industrial sector requires $0.4 of agricultural output, 350.3 of its own output and $0.2 of services output. Finally, to produce $1 worth of services output, the services sector requires $0.1 of agricultural output, $0.4 of industrial output and $0.4 of its own output. (a) Derive the input requirements matrix A from the above information. 35, 000 (b) Given that the vector of output a: = 50,000 , nd the vector of nal demand d in 40,000 the economy