
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 2nd, 2013, 06:04 PM  #1 
Newbie Joined: Oct 2013 Posts: 3 Thanks: 0  Calculus:Chain Rule  Marginal Revenue Product
A factory owner who employes m workers finds that they produce q= 1.8m(1.8m+9)^3/2 units of product per day. The total revenue R in dollars is R=1029q / (336672+4q)^1/2 (a) From the fact that revenue =(price per unit)(number of units) it follows that R=(price per unit)q So when there are 15 workers, the price per unit is 1.7150 dollars. (b) When there are 15 workers, the marginal revenue is ??? dollars/(one unit of product). (c) The marginalrevenue product is defined as the rate of change of revenue with respect to the number of employees. Therefore, marginalrevenue product=dR/dm If q and R are given as above then, when m= 15, the marginalrevenue product is _________ ? dollars/(one worker). This means that if employee number 16 is hired, revenue will increase by approximately _________? dollars per day. 
October 2nd, 2013, 07:01 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 463 Math Focus: Calculus/ODEs  Re: Calculus:Chain Rule  Marginal Revenue Product 
October 2nd, 2013, 07:31 PM  #3  
Newbie Joined: Oct 2013 Posts: 3 Thanks: 0  Re: Calculus:Chain Rule  Marginal Revenue Product Quote:
sorry, I know this question solve is R'(q) But I try lots of time for this Now, I only have 1 times to try this question. Could you tell me what is the number answer of this quesiton? Thanks a lot  

Tags 
calculuschain, marginal, product, revenue, rule 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Derivatives: Chain Rule  Marginal Revenue Product  green21317  Calculus  1  February 3rd, 2014 03:05 AM 
Calculus:Chain Rule  Marginal Revenue Product  Oranges'n'Lemons  Calculus  2  February 17th, 2013 10:18 PM 
Marginal Revenue using the Chain Rule  pomazebog  Calculus  3  February 7th, 2012 11:52 PM 
Marginal Revenue Product=dR/dm HELP!  ProJO  Calculus  4  February 5th, 2011 11:15 PM 
Calculus:Chain Rule  Marginal Revenue Product  Oranges'n'Lemons  Economics  0  December 31st, 1969 04:00 PM 