You have designed a new style of sports bicycle! Now you want to make lots of them and sell them for profit. Your costs are going to be: $10,000 for manufacturing setup costs, advertising, etc $10 to make each bike "P" is the price. You have sold bikes before. You know that if you sell 5,000 bikes you can use a formula that looks like this to predict how many you will sell. Unit Sales = 5,000 10P Sales in Dollars is found by multiplying Unit Sales by Price Sales = ( 5,000 - 10P ) * P Sales = 5,000P - 10P^2 Costs = manufacturing setup costs, advertising, etc. + amount to make each bike * ( Unit Sales ) Costs = 10,000 + 10 * ( 5,000 10P ) Costs = 10,000 + 50,000 - 100P Costs = 60,000 - 100P Profit = Sales - Costs Profit = ( 5,000P - 10P^2 ) - ( 60,000 - 100P ) Profit = 5,000P - 10P^2 - 60,000 + 100P Profit = -10P^2 + 5,100P - 60,000 This is our quadratic equation! What are the breakeven point(s)?