SOLUTION: A pizza shop has determined that it can sell x pizzas per night at a price of (9 - 0.02 x) dollars per pizza. There are fixed costs totalling $110 per night to run the shop, plus $

Question 1078618: A pizza shop has determined that it can sell x pizzas per night at a price of (9 - 0.02 x) dollars per pizza. There are fixed costs totalling $110 per night to run the shop, plus $3 for each pizza made. To maximize profit, how many pizzas should be made each night?
To achieve a maximum profit of $_______________ per night, make____________ pizzas a night.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The income per night is:

The cost to make pizza per night is:

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Let = profit per night
[ profit ] = [ income ] - [ cost ]

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The x-value of the maximum is:

----------------------
plug this back into to get

----------------------
The maximum profit of $340/night can be
earned by making 150 pizzas
--------------------------------
Here's a plot of the profit function:

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