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...

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?