Solve the problem.Bea Johnson, the owner of the Bea Nice boutique, estimates that when a particular kind ofperfume is priced at p dollars per bottle, she will sellB(p) =300p+5 P27bottles per month at a total cost ofClp) = 0.2p? + 3p + 150 dollarsAt 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?

NOTE: Refresh your page if you can't see any equations. . the demand function is . the revenue…

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?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.3: Solve Mixture Applications With Systems Of Equations

Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...

See similar textbooks

Similar questions

When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $14,000 a year with acommission of 10% of your sales • Option B: Base salary of $19,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
You are choosing between two different prepaid cellphone plans. The first plan charges a rate of 26 centsper minute. The second plan charges a monthly fee of $19.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
Hamilton loves to travel to Las Vegas, 255 miles from his home in Orange County. On his last trip, he left his house at 2:00 p.m. The first part of his trip was on congested city freeways. At 4:00 pm, the traffic cleared and he was able to drive through the desert at a speed 1.75 times faster than when he drove in the congested area. He arrived in Las Vegas at 6:30 p.m. How fast was he driving during each part of his trip?