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Question: The cafeteria in a building offers three different lunches. The demands for the three types of lunch on any given day are independent and Poisson distributed with means 4.85, 12.70, and 27.61. The cost of the three types are $12.00, $8.50, and $6.00, respectively. Find the expected value and variance of the total cost of lunches bought on a particular day.

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