SOLUTION: A company runs food device concessions for sporting events throughout the country their marketing research department chose a particular football stadium to test market a nwe jumbo

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Question 1180888: A company runs food device concessions for sporting events throughout the country their marketing research department chose a particular football stadium to test market a nwe jumbo hot dog. It was found that the demand for the new hot dog is given approximately by : p=4-ln(x),5 is less than equal to x and x is less than equal to 500.
Where x is the number of hot dogs(in thousands) that can be sold during one game at a price of P dollars. If the company pays 1 dollar for each hot dog, how should hot dogs be priced to maximize the profit per game?

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Price as a function of demand:

Revenue:

Cost:

Profit:











Hence is maximum demand, so the price at maximum demand is

dollars.


John

My calculator said it, I believe it, that settles it

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