10. A town has three main industries: a coalmining operation, an electric powergenerating plant, and a. local railroad. To mine $1 of coal, the mining Operation must purchase $0.25 of electricity to run its equipment and $0.25 of transportation for its shipping needs. To produce $1 of electricity, the generating plant requires $0.65 of coal for fuel, $0.05 of its own electricity to run auxiliary equipment, and $0.05 of transportation. To provide 31 of transportation, the railroad requires $0.55 of coal for fuel and $0.10 of electricity for its auxiliary equipment. In a certain week the coalrrniniug Operation receives orders for $50,000 of coal from outside the town. and the genrating plant receives orders for $25,000 of electricity from outside. There is no outside demand for the local railroad. For the oneweek period let : 21 be the monetary value of the total output of coal-mining operation :52 be the monetary value of the total output of power-goneratiuy,r plan :53 he the monetary value of the total output of local railroad. (ll be the monetary value of the output of coal-mining operation needed to satisfy the outside demand d2 be the monetary value of the output of power-generating plant needed to satisfy the outside demand d3 be the monetary value of the outputt of local railroad needed to satisfy the outside demand c13- be the monetary value of the output of the ith industry needed by the jth industry to produee one unit of monetary value of its own output (i) Write a System of equation describing the mode]. (ii) How much must each of the three industries produce in that weeek to mctly satisfy their own demand and the outside demand