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14. Sketch the solution set to the system of inequalities shown below. 15-1+1 Is the point (0, -2) a solution to the system? Justify. 15. A large dining hall can be filled with tables that sit four people each and tables that fit six people each. Due to time constraints, they can fill the hall with at most 50 tables. A conference in the hall must have seating for at least 230 people. Let f represent the number of four person tables and let & represent the number of six person tables moved into the dining hall. Write a system of inequalities that models the scenario described above. When trying to fit the tables, the organizers decide to use 38 four person tables. Can they still solve the system that you wrote above? Explain. PART IV QUESTION: Answer the question in this part. The question is worth 6 points. 16. When Shana took her children to the Red Hook Movie Theater, she bought one medium popcorn and three small drinks for $14.75. When Allyson went to the same theater and bought two medium popcorns and five small drinks, she paid $26. Algebraically determine the unit cost for both a medium popcorn and a small drink