12 - 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: Dr=[2 4 0 1];Dm = [3 0 2 5]; Du = [0 3 5 1] and the demand vectors for the industries are: De = [0 1 3 2]; Dc = [4 0 1 2]; Du = [3 1 0 1];Dn = [2 1 3 0] The price of gas, coal, hydroelectric power and nuclear energy is represented by price vector, respectively in terms of Dollars). 15,000 P 10,000 7000 9000 Find the profit earned by the hydroelectric power industry considering its cost for the other forms of energy it uses. $98,000 $161.000 564,000 $34.000 $15.000 Bo brak d) A