Suppose that a closed economic region has three industries: service, electrical power, and tourism. The service industry uses 20% of its own production, 40% of the electrical power, and 80% of the tourism. The power company uses 40% of the service industry, 20% of the electrical power, and 10% of the tourism. The tourism industry uses 40% of the service industry, 40% of the electrical power, and 10% of the tourism. 

(a) Let S, E, and T be the numbers of units produced by the service, electrical, and tourism industries, respectively. The following system of linear equations can be used to determine the relative number of units each industry needs to produce. 

Solve the system and write the solution in terms of T. 

(b) If tourism produces 60 units, how many units should the service and electrical industries produce?

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0.25 +0.4E+0.8T = S 0.45 + 0.2E+ 0.17 = E 0.45 + 0.4E+0.17 = T