Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

The cost of producing x units of a certain product is given by: C=10,000 + 5x+ 1/9 x^2 Find the value of x that gives the minimum average cost

I got my questions answered at in under 10 minutes. Go to now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly


Get your free account and access expert answers to this and thousands of other questions

You have a cost function for x units given by: C = 10,000 + 5x + (1/9)x^2 Now, the cost per unit is going to be that same function divided by x. Let's call this function U: U = 10,000/x + 5 + (1/9)x To find the minimum total cost, you need to find the minimum of this function. Analyzing the derivatives should get you the answer you need: U' = -10,000/(x^2) + 1/9 U'' = 20,000/(x^3) By examining U'= 0, we find that x = 300 is a critical point. Further, since U'' is positive, the function must be at a minimum at that point.
@mayankdevnani can you help me with another problem pls? ^^
wait how did u get U"=20,000/x^3?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:


Not the answer you are looking for?

Search for more explanations.

Ask your own question