Sylvia has an apple orchard. One season, her 100 trees yielded 140 apples per tree. She wants to increase her production by adding more trees to the orchard. However, she knows that for every 10 additional trees she plants, she will lose 4 apples per tree (i.e the yield per tree will decrease by 4 apples). How many trees should she plant in the orchard to maximize her production of apples?

Sylvia has an apple orchard. One season, her 100 trees yielded 140 apples per tree. She wants to increase her production by adding more trees to the orchard. However, she knows that for every 10 additional trees she plants, she will lose 4 apples per tree (i.e the yield per tree will decrease by 4 apples). How many trees should she plant in the orchard to maximize her production of apples?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Julia had the same number of rings, necklaces, and bracelets in her shop. After selling 2/5 of the rings, 1/2 as many necklaces as rings, and 1/2 of the bracelets, the total number of rings, necklaces, and bracelets decreases by 11. How many rings did she have at the end?
You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $5, red chips are worth $10 and blue chips are worth $20. You need $20 worth of chips in order to see someone's raise, so you take chips out of the bag one at a time, noting the color of each one as it's removed, and stop when the total value of the chips removed is at least $20. How many sequences of chip colors are possible when you do this? (A) 0 (В) 9 (С) 5 (D) 10 (E) 3 (F) 11 (G) 8 (Н) 7
.
For the next items, identity the appropriate statistical test that will be utilized in hypothesis testing. SE T- test T- test (one factor/sample) (Dependent) (Independent) T-test F- Test (Standard Error)
A group of three friends have 3 different jobs. Mallory(m) makes $9 an hour at Kroger, Chandler(c) makes $11 at HEB, and Sophia(s) makes $8 at Cinemark. All together they worked a total of 40 hours and earned $370. Mallory worked twice as many hours as Chandler. How many hours did each friend work?
both sheets are for the same problem.
Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar that Recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for Recipe A?
On their way up the hill, Bob and Emily were stopped by their parents. It seems the two of them were trying to skip out on some chores. They were told to mow the lawn, clean the kitchen, and sweep the leaves off the deck. If Bob can complete all the chores in 3 hours by himself and Emily takes only 2.25 hours to get all it done on her own, how many minutes will it take for the two of them to get the work done together? ( I may assume the family has 2 of everything needed to get the work done)
The following are recipes for pancakes and waffles. A batch of pancakes require 3 cups of flour, 1 cup of milk, and 2 eggs and feeds 6 people. A batch of waffles requires 2 cups of flour, 2 cups of milk, and 2 eggs and feeds 5 people. Suppose you have available 24 cups of flour, 18 cups of milk, and 20 eggs. How many batches of pancakes and waffles should you make to feed the maximum number of people? a) State what you assign to x and y. Write the objective function. [2] b) Write the three constraint inequalities. [3] c) Find the axes intercepts of each of the above inequalities. [3] d) Plot the inequalities. Label the solution set. [3] e) How many batches of pancakes and waffles should you make to feed the maximum number of people