The demand for a fitness video game roughly follows the equation p-100-31.91sqrt(x), 0x7, where p is the unit price and x is the number of units sold. It costs the supplier C=-0.03x^2+10x+250 dollars to sell a total of x units. (a) Write profit as a function of x (assuming that the level of demand drives production). P(x)= x(100-31.91sqrt(x))+0.03x^2-10x-250 (b) At what production level is profit maximized? What is the maximum profit? (c) At what production level is profit decreasing least rapidly?