Producing Electronic Equipment$$An electronics $$rm is producing three lines of prod$-$ucts for sale to the government: transistors, micromodules, and circuit assemblies. The$$rm has four physical processing areas designated as follows: transistor production, cir$-$cuit printing and assembly, transistor and module quality control, and circuit assemblytest and packing. The various production requirements are as follows: Production of one transistorrequires $0\mathrm{.}1$ standard hour of transistor production area capacity, $0\mathrm{.}5$ standard hour oftransistor quality control area capacity, and $$0\mathrm{.}70$ in direct costs. Production of micro$-$modules requires $0\mathrm{.}4$ standard hour of the quality control area capacity, three transis$-$tors, and $$0\mathrm{.}50$ in direct costs. Production of one circuit assembly requires $0\mathrm{.}1$ stan$-$dard hour of the capacity of the circuit printing area, $0\mathrm{.}5$ standard hour of the capacityof the test and packing area, one transistor, three micromodules, and $$2\mathrm{.}00$ in directcosts.Suppose that the three products $($transistors$,$ micromodules, and circuit assemblies$)$may be sold in unlimited quantities at prices of $$2,$ $$8,$ and $$25$ each, respectively. Thereare $200$ hours of production time open in each of the four process areas in the com$-$ing month. Formulate a mathematical model to help determine the production that willproduce the highest revenue for the $$rm$.$