The price per unit, p, and demand per month, *, for a particular product are related by the equation a2 + 4px + p = 75, 000 OK x 5 274 If prices are increasing at a rate of $2.00 per month when the price is $72.00, find the rate of increase of revenue. What is the derivative of R = px where p and x are both functions of t. Use dp dt for the derivative of p with respect to t and dx - for the derivative of a with respect to t. dt dR dt Find an equation for the derivative of x with respect to t. Use dp at for the derivative of p with respect to t. dx dt When the price is $72.00, approximately how many units are sold (round your answer to two decimal places)? What is the rate of change of units per month when the price is $72.00 and the price is increasing at a rate of $2.00 per month? Round your answer to two decimal places. Find the rate of change in revenue when the price is $72.00 and the price is increasing at a rate of $2.00 per month. Round your answer to the nearest dollar