A new movie theater is trying to gauge how much they should charge for movie tickets. The table shows several different ticket pricing costs and how much profit the theater made at each cost (taking into account the overhead expenses the theater had to pay to be open). Cost of 7 10 12 ticket($) Profit ($) 241 643 784 577 The ultimate question: Find the maximum profit rounded to the nearest cent. Things to consider while answering: Plot a graph of this situation. Based on the trend in the data, generate an appropriate regression model that best fits the data.