Show complete work using vertex formula

Question

You run a business selling widgets. You currently charge $20 per widget and average 4000 sales per month. Your market research shows that, for every $2 increase in price, you can expect to lose 100 sales each month. What should you charge in order to maximize your revenue? (Show complete work using the vertex formula) Let p = the price of a widget Let w = the number of widgets sold Objective function = ? Combined function = ? Charge to maximize revenue = ?

Answer 1

p represents each price increase

R(p) = (20 + 2p)(4000 - 100p)

Transform into vertex form and answer.