The marketing research department for a computer company used a large city to test market their new computer. they found that the relationship between the price p (dollars per unit) and the demand x (units per week) for the new computer was given approximately by the equation .
1. explain, in writing, how to find a formula for the total revenue function if given the unit price p and number of units sold x. find the formula for the total revenue from the sale of x units of the new computer.

2. explain, in writing, how you would determine the maximum revenue if given a total revenue function. find the number of computers that must be sold in order to maximize the revenue formula in #1.

3. find the maximum revenue for the number of computers found in #2. briefly explain your result.