A co-op cooks meals and throws parties. To cook ten meals, the co-op members need to eat two meals themselves and have one members- only cooking party. To throw two parties, the co-op members need to eat six meals while preparing and have one members-only clean-up party. The co-op aims to serve the public dm meals and have dp public parties. a) (6 points) Represent this economy as a system of equations. b) (5 points) How many total meals are cooked by co-op members? How many total parties are thrown by the co-op? Justify your answer mathematically. c) (2 points) How many clean-up parties are thrown? Justify your an- swer mathematically. d) (2 points) If the co-op increases the number of parties they have for the public, what is the impact on the number of meals cooked? Justify your answer mathematically. Intuitively, what explains this impact?