The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = -0.01 x2 + 4x + 3,200
Given that the equation y=8x models the income of the company in dollars and the equation y=-0.01x²+4x+3200 models the cost of making x baseball caps. The profit of making x caps will be given by: Profit=(total income)-(total cost) =8x-(-0.01x²+4x+3200) =8x+0.01x²-4x-3200 =0.01x²+4x-3200 Hence the answer is, profit will be given by: y(x)=0.01x²+4x-3200
