Realfancycars is a car rental agency operating in the Chicago area. They have a capacity of 100 cars. The owner Sarc Lemon is looking to maximize his revenue over the Thanksgiving weekend, which is 100 days away. By working with a pricing consultant, he has determined three products to offer for the weekend: 1. Product A: A rental period from Thursday to Sunday for $100 per day 2. Product B: A rental period from Thursday to Saturday for $110 per day 3. Product C: A rental period from Friday to Sunday for $120 per day Currently, all cars are unreserved. Moreover, Sarc anticipates that all cars will be available by the Wednesday of Thanksgiving week. Working with a forecasting consultant, Sarc estimates that there will be an expected demand of 75 customers for product A, 35 for product B, and 27 for product C until Thanksgiving day. Answer the following questions: 1. What are the resources in this setup and how many resources are there? What is the capacity of each resource? (5 points) 2. While the linear program to determine the value of the full capacity of 100 cars over the next 100 days. (10 points) 3. Write the