A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
an orchard owner has maintained records that shows that, if 25 apple trees are planted in one acre then each tree yields an average of 500 apples. the yield decreases by 10 apples per tree for each additional tree that is planted. how many trees should be planted for maximum total yield?
anonymous
 5 years ago
an orchard owner has maintained records that shows that, if 25 apple trees are planted in one acre then each tree yields an average of 500 apples. the yield decreases by 10 apples per tree for each additional tree that is planted. how many trees should be planted for maximum total yield?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x=additional trees planted total yield = numtrees*yield per tree numtrees = x+25 yield per tree = 50010x total yield = (x+25)(50010x) to maximize yield, differentiate and set equal to 0 y' = (x+25)*10 + (50010x) = 0 10(x+25) = 50010x 20x = 250 x = 12.5 to maximize yield 25+12.5 trees should be planted
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.