Question

An apple orchard has an average yield of 32 bushels of apples per tree if tree...

An apple orchard has an average yield of 32 bushels of apples per tree if tree density is 26 trees per acre. For each unit increase in tree density, the yield decreases by 2 bushels per tree. How many trees per acre should be planted to maximize yield? Hint – first convince yourself that the function for yield is given by  where  is the number of trees per acre above or below 26.

Write your final answer in a sentence like this – In order to obtain max yield of _____, the orchard should plant _____ trees per acre.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An apple grower finds that if he plants 80 trees per acre, each tree will yield...
An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit. He estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. Given a price of $1.00 per bushel, find the maximum revenue and how many trees should he plant per acre to maximize her harvest? choices 36 trees per acre, max revenue of $7,480 37 trees per acre, max revenue of...
If an apple grower knows that on a field with 50 apple trees per acre each...
If an apple grower knows that on a field with 50 apple trees per acre each tree will produce 32 bushels of apples. He is told that for each additional tree planted per acre, the yield will decrease by 2 bushels. How many trees should he plant per acre to maximize his apple production?
A home gardener estimates that 22 apple trees will have an average yield of 200 apples...
A home gardener estimates that 22 apple trees will have an average yield of 200 apples per tree. But because of the size of the garden, for each additional tree planted the yield will decrease by four apples per tree. (a) How many additional trees should be planted to maximize the total yield of apples? trees (b) What is the maximum yield? apples
A home gardener estimates that 16 apple trees will have an average yield of 128 apples...
A home gardener estimates that 16 apple trees will have an average yield of 128 apples per tree. But because of the size of the garden, for each additional tree planted the yield will decrease by four apples per tree. ( a) How many additional trees should be planted to maximize the total yield of apples? trees b) What is the maximum yield? apples
A farmer finds that if she plants 55 trees per acre, each tree will yield 20...
A farmer finds that if she plants 55 trees per acre, each tree will yield 20 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest?
A farmer finds that if she plants 80 trees per acre, each tree will yield 30...
A farmer finds that if she plants 80 trees per acre, each tree will yield 30 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? Give your answer rounded to the nearest whole number.
8) A farmer finds that if she plants 85 trees per acre, each tree will yield...
8) A farmer finds that if she plants 85 trees per acre, each tree will yield 70 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest? ? trees 9) A company's revenue from selling x units of an item is given as R=2000x−3x2. If sales are increasing at the rate of 55 units per...
Two years ago your orange orchard contained 50 trees and the yield per tree was 75...
Two years ago your orange orchard contained 50 trees and the yield per tree was 75 bags of oranges. Last year you removed 10 of the trees and noticed that the yield per tree increased to 80 bags. Assuming that the yield per tree depends linearly on the number of trees in the orchard, what should you do this year to maximize your total yield?
A commercial cherry grower estimates from past records that if 26 trees are planted per​ acre,...
A commercial cherry grower estimates from past records that if 26 trees are planted per​ acre, then each tree will yield an average of 42 pounds of cherries per season.​ If, for each additional tree planted per acre​ (up to 24​), the average yield per tree is reduced by 1​ pound, how many trees should be planted per acre to obtain the maximum yield per​ acre? What is the maximum​ yield? In order to get the highest yield of ________pounds,_______...
1) A study of 150 apple trees showed that the average number of apples per tree...
1) A study of 150 apple trees showed that the average number of apples per tree was 2000. The standard deviation of the population is 100. Which of the following is the 80% confidence interval for the mean number of apples for all trees? a) (1986.6, 2013.4) b) (1988.5, 2011.5) c) (1989.5, 2010.5) d) (1993.1, 2006.9) 2) If a population has a standard deviation of 16, what is the minimum number of samples that need to be averaged in order...