Solve the problem. Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind of perfume is priced at p dollars per bottle, she will sell 300 B(p) = p+5 Pz7 bottles per month at a total cost of Clp) = 0.2p² + 3p + 150 dollars At what rate is the profit changing with respect to p when the price is $14 per bottle? Is profit increasing or decreasing at that price?
Solve the problem. Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind of perfume is priced at p dollars per bottle, she will sell 300 B(p) = p+5 Pz7 bottles per month at a total cost of Clp) = 0.2p² + 3p + 150 dollars At what rate is the profit changing with respect to p when the price is $14 per bottle? Is profit increasing or decreasing at that price?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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![Solve the problem.
Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind of
perfume is priced at p dollars per bottle, she will sell
B(p) =
300
p+5 P27
bottles per month at a total cost of
Clp) = 0.2p? + 3p + 150 dollars
At what rate is the profit changing with respect to p when the price is $14 per bottle? Is profit increasing or decreasing at that price?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0ad667c-38cd-4c18-b2fe-f8a3160293a5%2F40d8e8a6-25ba-482a-8b93-0ae5ad53a3d2%2F4b3eufa_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the problem.
Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind of
perfume is priced at p dollars per bottle, she will sell
B(p) =
300
p+5 P27
bottles per month at a total cost of
Clp) = 0.2p? + 3p + 150 dollars
At what rate is the profit changing with respect to p when the price is $14 per bottle? Is profit increasing or decreasing at that price?
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