An ice cream shop finds that its weekly profit P (in dollars) as a function of the price a (in dollars) it charges per ice cream cone is given by the function g, defined by g(x) = – 110z? + 700x – 120. a. What price should the store charge to maximize their profit? Need a hint? $ 35/11 Preview b. According to the model, what is the store's maximum weekly profit? Need a hint? $ 10930/11 Preview c. What prices would cause the weekly profit to be $0? (Write your answers as a comma-separated list.) Need a hint? $ 6.18,0.18 Preview

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An ice cream shop finds that its weekly profit P (in dollars) as a function of the price a (in dollars) it
charges per ice cream cone is given by the function g, defined by g(x) = – 110z? + 700x – 120.
a. What price should the store charge to maximize their profit? Need a hint?
$ 35/11
Preview
b. According to the model, what is the store's maximum weekly profit? Need a hint?
$ 10930/11
Preview
c. What prices would cause the weekly profit to be $0? (Write your answers as a comma-separated
list.) Need a hint?
$ 6.18,0.18
Preview
d. Another ice cream shop developed a similar model for their weekly profit. Its model is f where
f(x) = g(x) + 475. What does this tell us? Select all that apply.
O When this shop charges the same price per ice cream cone, it will always earn an additional $
475 dollars per week compared to the original store.
OWhen this shop charges the same price per ice cream cone, it will always earn $475 dollars per
week less than the original store.
O The two stores have different maximum weekly profits.
To maximize weekly profits, both stores should charge the same price per cone.
Transcribed Image Text:An ice cream shop finds that its weekly profit P (in dollars) as a function of the price a (in dollars) it charges per ice cream cone is given by the function g, defined by g(x) = – 110z? + 700x – 120. a. What price should the store charge to maximize their profit? Need a hint? $ 35/11 Preview b. According to the model, what is the store's maximum weekly profit? Need a hint? $ 10930/11 Preview c. What prices would cause the weekly profit to be $0? (Write your answers as a comma-separated list.) Need a hint? $ 6.18,0.18 Preview d. Another ice cream shop developed a similar model for their weekly profit. Its model is f where f(x) = g(x) + 475. What does this tell us? Select all that apply. O When this shop charges the same price per ice cream cone, it will always earn an additional $ 475 dollars per week compared to the original store. OWhen this shop charges the same price per ice cream cone, it will always earn $475 dollars per week less than the original store. O The two stores have different maximum weekly profits. To maximize weekly profits, both stores should charge the same price per cone.
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