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 $
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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:
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plug this back into to get
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The maximum profit of $340/night can be
earned by making 150 pizzas
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Here's a plot of the profit function:
