For a monopolist's product, the cost function is c=0.006q3+20q+5000 and the demand function is p=4504q. Find the profit-maximizing output. The profit-maximizing output is (Round to the nearest whole number as needed.) For the demand equation, find the rate of change of price p with respect to quantity q. What is the rate of change for the indicated value of q ? p=e0.004q;q=250 The rate of change of price p with respect to quantity q when q=250 is (Round to five decimal places as needed.)