DA hot dog vendor at Memorial Stadium sells hot dogs for $5 each. He buys them for $2 each. All the hot dogs he fails to sell at Memorial Stadium during the afternoon can be sold that evening at Jaycee Park for $1 each. The daily demand for hot dogs at Memorial Stadium is normally distributed with a mean of 100 and standard deviation of 5 hot dogs. • If the vendor buys hot dogs once a day, how many should he buy to maximize expected profit? • If he buys 95 hot dogs, what is the probability that he will meet all of the day's demand for hot dogs at Memorial Stadium?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A hot dog vendor at Memorial Stadium sells hot dogs for $5 each. He buys them
for $2 each. All the hot dogs he fails to sell at Memorial Stadium during the afternoon can be sold that
evening at Jaycee Park for $1 each. The daily demand for hot dogs at Memorial Stadium is normally
distributed with a mean of 100 and standard deviation of 5 hot dogs.
• If the vendor buys hot dogs once a day, how many should he buy to maximize expected profit?
• If he buys 95 hot dogs, what is the probability that he will meet all of the day's demand for hot
dogs at Memorial Stadium?
Transcribed Image Text:A hot dog vendor at Memorial Stadium sells hot dogs for $5 each. He buys them for $2 each. All the hot dogs he fails to sell at Memorial Stadium during the afternoon can be sold that evening at Jaycee Park for $1 each. The daily demand for hot dogs at Memorial Stadium is normally distributed with a mean of 100 and standard deviation of 5 hot dogs. • If the vendor buys hot dogs once a day, how many should he buy to maximize expected profit? • If he buys 95 hot dogs, what is the probability that he will meet all of the day's demand for hot dogs at Memorial Stadium?
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