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Omni-MATH / At a university dinner, there are 2017 mathematicians who each order two…

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problem

At a university dinner, there are 2017 mathematicians who each order two distinct entrées, with no two mathematicians ordering the same pair of entrées. The cost of each entrée is equal to the number of mathematicians who ordered it, and the university pays for each mathematician's less expensive entrée (ties broken arbitrarily). Over all possible sets of orders, what is the maximum total amount the university could have paid?

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task_id: 6724a727-a52d-5ef8-8719-d29a2d731f58
task_key: test--6724a727-a52d-5ef8-8719-d29a2d731f58
task_revision_id: 3
config / split: / test

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