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A small shop orders sandwiches from an outside vender. The marginal cost of a sandwich to the shop owner is $1, and sand...

A small shop orders sandwiches from an outside vender. The marginal cost of a sandwich to the shop owner is $1, and sandwiches are sold for $5 per sandwich. The shop’s customers have a daily demand for sandwiches that is uniformly distributed over the integers {5,…,35}. That is, the probability density (mass) function is for . Any unsold sandwiches are discarded at the end of the day.

How many sandwiches should the profit maximizing shop owner order from the vender each day? Show and explain your solution to the problem.

What is the expected number of sandwiches customers demand each day?

What is the standard deviation in daily customer demand?

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Answer #1

Serting Price s hangallest Prakialulity dersey fune daily demand as dadethes Cinins Sola ECS 3S 35 eied deaduitele Lnsider hS-2t7) 20 6 2 Rewerue Cost Aenane Naw S L-x+7)-20 62 2 100-6 2x -S t 3SS2e 6 2 2 pie + 2 6 2 t 293 6 2 29-3 20 29 20 The stop

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