The revenue = the product of the price by the quantity sold: R = p*q, or R = p*(200000-20000*p) = 20000*p*(10-p). The roots of this quadratic function are p= 0 and p= 10; hence, the maximum of the quadratic function is located exactly half way between the roots, i.e. at p= 5. Answer. The price p= 5 dollars per video provides the maximum revenue.