A community for students.
Here's the question you clicked on:
 0 viewing
soccergal12
 3 years ago
Sarah's flower shop gets very busy on Vday, but they don't always sell out. Sarah knows that she can sell 50 rose bouquets at a price of $75 each, but she can sell 60 if she drops the price down to $65 each.
(a) find the demand function p(x) .. assume it's linear.
(b) find the revenue function R(x).
(c) find for which value(s) of x the marginal revenue equals to 0
(d) suppose each bouquet costs Sarah $25 to make. find the marginal profit for x = 50. what does this value mean?
I found the demand function : p(x) = x + 125
And the Revenue function : R(x) = x^2 + 125x
and found the marginal revnue: x = 125/2 rose bouquets
i don't get how to do part d
soccergal12
 3 years ago
Sarah's flower shop gets very busy on Vday, but they don't always sell out. Sarah knows that she can sell 50 rose bouquets at a price of $75 each, but she can sell 60 if she drops the price down to $65 each. (a) find the demand function p(x) .. assume it's linear. (b) find the revenue function R(x). (c) find for which value(s) of x the marginal revenue equals to 0 (d) suppose each bouquet costs Sarah $25 to make. find the marginal profit for x = 50. what does this value mean? I found the demand function : p(x) = x + 125 And the Revenue function : R(x) = x^2 + 125x and found the marginal revnue: x = 125/2 rose bouquets i don't get how to do part d

This Question is Closed

javawarrior
 3 years ago
Best ResponseYou've already chosen the best response.0isnt it just R(50)  25*50 ?

soccergal12
 3 years ago
Best ResponseYou've already chosen the best response.0so it would be 2500 ?

javawarrior
 3 years ago
Best ResponseYou've already chosen the best response.0yep if marginal profit is total revenue  cost of making it

javawarrior
 3 years ago
Best ResponseYou've already chosen the best response.0im getting 7500 not 2500, double check your working

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1you should get 0. u still stuck ?

soccergal12
 3 years ago
Best ResponseYou've already chosen the best response.0i got 7500, not zero. i put ((50)^2 + 125(5))  25(50) in my calculator to get 7500.

soccergal12
 3 years ago
Best ResponseYou've already chosen the best response.0i mean ((50)^2 + 125(50))  25(50)

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1what you computing is overall profit. in the question they are asking about marginal profit right ?

soccergal12
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, it's asking for marginal profit

soccergal12
 3 years ago
Best ResponseYou've already chosen the best response.0does that mean, it should be dP/dt = dR/dt  dC/dt ?

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1exactly.. you are correct. marginal something means, derivative something

soccergal12
 3 years ago
Best ResponseYou've already chosen the best response.0okay, i used the original profit function: p(x) x +125 to get the derivative: p^1(x) = 1 ; so from this function, we know that the marginal profit is zero ? because you cannot plug in 50 for x, because there is no x variable in the derivative?

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1dP/dt = dR/dt  dC/dt your above equation is right. just take: (derivative of REVENUE)  (derivative of COST) that comes like : d/dx { R(x) }  d/dx { 25x }

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.125x is you cost function
Ask your own question
Sign UpFind 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.