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Mathhelp346
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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?
 one year ago
 one year ago
Mathhelp346 Group Title
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?
 one year ago
 one year ago

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Phydeaux Group TitleBest ResponseYou've already chosen the best response.1
P(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
 one year ago

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

Phydeaux Group TitleBest ResponseYou've already chosen the best response.1
Derivative of a constant is zero. So the 2000 goes away.
 one year ago

Mathhelp346 Group TitleBest ResponseYou've already chosen the best response.0
Why does it make the 2000 go away?
 one year ago

Phydeaux Group TitleBest ResponseYou've already chosen the best response.1
The 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?
 one year ago

Mathhelp346 Group TitleBest ResponseYou've already chosen the best response.0
No this is for Algebra 2.
 one year ago

Phydeaux Group TitleBest ResponseYou've already chosen the best response.1
Oh. Well theres the solution using calculus.
 one year ago
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