Kate is about to start her new job as the chief financial officer at Cycling Incorporated, a company that manufactures and sells bikes. To prepare for the job, Kate is analyzing the profits the company has made on a new bike model, the A100, which was first released a few months ago. The company has been adjusting the price each month to determine what price it should be using. Kate has data for the prices at which the company has been selling the bikes and the associated profit each month for the last three months. She also knows that all profit functions follow a quadratic model. How can Kate use the data she needs to determine the selling price that will allow the company to maximize its profits?