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At Southwestern University all of the students eat in the same dining halls

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At Southwestern University all of the students eat in the same dining halls. At Southwestern University, all of the profits from dining services are used to fund scholarships for the students. You may assume that all students are identical, having the same demand for dining services and all students receive equal shares of the scholarships. True or False: Students won't care if the dining services charge monopoly prices because all of the profits from dining services are returned to students in the form of scholarships at Southwestern University. Explain your answer using a diagram.