The energy economy of an area is composed of four industries: gas, coal, hydroelectric and nuclear. The three main consumers of energy are area residential consumers, a manufacturing plant, and a university. Assume that each consumer may use some of the energy produced by each industry, and also that each industry uses some of the energy produced by each of the other industries. The energy needs of each consumer and industry are represented by a demand vector whose entries, in order, give the amount of gas, coal, hydroelectric, and nuclear energy needed by each consumer or industry, in some convenient units. The demand vectors for the consumers are:  

src="https://sciemce.com/media/4/ppg__tttt0616191201__f1q186g2.jpg" alt="" style="vertical-align: -8.0px;" />  and the demand vectors for the industries are:    What is the total demand for the four types of energy from both the consumers and the energy industries?



What will be an ideal response?

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Mathematics