4.2 (Version C) Math 112 Section: Instructor's name: Name: 1. A farmer has 2000 feet of fence and wants to enclose a rectangular field with two internal fences parallel to one side, as shown below. What are the dimensions that would maximize the area? Make sure you check that the total amount of fencing is 2000 and that the area is maximized. Main Algebraic Solution: Check Your Solution: Section 4.2 (Version C) Math 112 Section: Instructor's name: Name: 2. A movie theater estimates that for each $0.50 increase in ticket price, the number of tickets sold decreases by 40. The current ticket price of $8.50 yields 1000 tickets sold. Set up an equation to represent the daily revenue. What price should the theater charge for tickets in order to maximize daily revenue? Check your answer by confirming that the price you found maximizes the revenue for the given information. Main Algebraic Solution: Check Your Solution