A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
AGLERA 2 HELP PLEASE:
The owner of a company that produces handcrafted music stands hires a consultant to help set the selling price for the product. The consultant analyzes the production costs and consumer demand for the stands and arrives at a function for the profit, P(x)=0.3x^2+75x2000, where x represents the selling price of the stands.
a.At what price should the stands be sold to earn the maximum profit?
 2 years ago
AGLERA 2 HELP PLEASE: The owner of a company that produces handcrafted music stands hires a consultant to help set the selling price for the product. The consultant analyzes the production costs and consumer demand for the stands and arrives at a function for the profit, P(x)=0.3x^2+75x2000, where x represents the selling price of the stands. a.At what price should the stands be sold to earn the maximum profit?

This Question is Closed

Phydeaux
 2 years ago
Best ResponseYou've already chosen the best response.1P(x) = 0.3x^2 + 75x  2000 breakeven point is P(x) = 0 0 = 0.3x^2 + 75x  2000 use quadratic x = 30.35152757, 219.6484724 maximum profit is P ' (x) = 0 P ' (x) = 0.6x + 75 = 0 0.6x = 75 x = 75/0.6 = 125 P(125) = 0.3*125^2 + 75*125  2000 = 4687.5 + 9375  2000 = 2687.5 breakeven point < maximum; therefore breakeven is x = 30.35152757

Mathhelp346
 2 years ago
Best ResponseYou've already chosen the best response.0In P ' (x) = 0.6x + 75 = 0, where did the other numbers go to?

Phydeaux
 2 years ago
Best ResponseYou've already chosen the best response.1Derivative of a constant is zero. So the 2000 goes away.

Mathhelp346
 2 years ago
Best ResponseYou've already chosen the best response.0Why does it make the 2000 go away?

Phydeaux
 2 years ago
Best ResponseYou've already chosen the best response.1The derivative of a constant is 0. So you could write out +0, or realize thats a waste of time. Is this for a calculus class?

Mathhelp346
 2 years ago
Best ResponseYou've already chosen the best response.0No this is for Algebra 2.

Phydeaux
 2 years ago
Best ResponseYou've already chosen the best response.1Oh. Well theres the solution using calculus.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.