3 (9 Points): For the following program prices, calculate the expected number of students. Program Price Number of Students $ $ $ $ $ $ $ $ 20,000 25,000 30,000 35,000 40,000 45,000 50,000 55,000 60,000 Develop a profit model for the program. Revenue will be calculated by program pricing and the number of students estimated by the exponential equation above (continue to round down the number of students to a whole number). There are two costs associated with the program, a fixed cost of $400,000 per every 30 sudents, and a variable cost of $4,000 per student. Using these data calculate the program profit. 152 119 92 72 56 43 34 26 20 4 (3 Points): What is the profit of the program if it is priced at $30,000? Program Profit $ $ $ $ $ $ $ $ 5 (9 Points): For the following program prices, calculate the expected number of students. Program Price Profit of the Program 20,000 25,000 30,000 35,000 40,000 45,000 50,000 55,000 60,000 6 (3 Points): What program price maximizes program profit? (use data validation) Program price