Two companies are producing surface heaters. It costs the first company q₁² dollars to produce q₁ surface heaters and the second company 2q₂² dollars to produce q₂ surface heaters. If a total of q surface heaters are produced, consumers will pay 200 - q dollars for each surface heater. If the two companies want to maximize the sum of their profits, how many surface heaters should each company produce?(Hint: Solution method in excel solver should be set as GRG Nonlinear)