What is an example of an absolute maximum or absolute minimum problem in economics? Thank you
T Tom2013 New member Joined Jul 17, 2013 Messages 7 Jul 22, 2013 #1 What is an example of an absolute maximum or absolute minimum problem in economics? Thank you
mmm4444bot Super Moderator Joined Oct 6, 2005 Messages 10,962 Jul 22, 2013 #2 Check out some of these results. The one at this page looks like a good example. :cool:
J JeffM Elite Member Joined Sep 14, 2012 Messages 7,872 Jul 23, 2013 #3 Tom2013 said: What is an example of an absolute maximum or absolute minimum problem in economics? Thank you Click to expand... Suppose price is $100 per unit, capacity is 100K units, and total cost c of u in K units is given by \(\displaystyle c = 310u - u^2 - 10800,\) and the total profit is \(\displaystyle 0 \le u \le 100 \implies p = -210u + u^2 + 10800.\) At what value of u is -210u + u^2 + 10800 maximized? So what is the profit maximizing scale of production?
Tom2013 said: What is an example of an absolute maximum or absolute minimum problem in economics? Thank you Click to expand... Suppose price is $100 per unit, capacity is 100K units, and total cost c of u in K units is given by \(\displaystyle c = 310u - u^2 - 10800,\) and the total profit is \(\displaystyle 0 \le u \le 100 \implies p = -210u + u^2 + 10800.\) At what value of u is -210u + u^2 + 10800 maximized? So what is the profit maximizing scale of production?