×
Log in to StudySoup
Get Full Access to Numerical Analysis - 10 Edition - Chapter 6.1 - Problem 11
Join StudySoup for FREE
Get Full Access to Numerical Analysis - 10 Edition - Chapter 6.1 - Problem 11

Already have an account? Login here
×
Reset your password

Suppose that in a biological system there are n species of animals and m sources of

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 11 Chapter 6.1

Numerical Analysis | 10th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

4 5 1 272 Reviews
28
0
Problem 11

Suppose that in a biological system there are n species of animals and m sources of food. Let Xj represent the population of the y'th species, for each j 1representthe available daily supply of the /th food; and ciij represent the amount of the ith food consumed on the average by a member ofthe jth species. The linear system "llXi + <12X2 + + *|nX = b\, fl2|Xi + 022*2 + + 02nX = b2, Oml*1 + Om2*2 + 4 + ClmnX,, = bm represents an equilibrium where there is a daily supply of food to precisely meet the average daily consumption of each species, a. Let 1 2 0 3 " 1 0 2 2 0 0 1 1 x = (xj) = [1000,500, 350, 400], and b = (6,) = [3500, 2700, 900]. Is there sufficient food to satisfy the average daily consumption b. What is the maximum number of animals of each species that could be individually added to the system with the supply offood still meeting the consumption? c. Ifspecies 1 became extinct, how much of an individual increase ofeach ofthe remaining species could be supported? d. Ifspecies 2 became extinct, how much of an individual increase of each ofthe remaining species could be supported?

Step-by-Step Solution:
Step 1 of 3

1. RelatingDivisionandFractions a. Thecontextofaproblemwillchangethemeaningastowhetherweare examiningafractionorcompletingtheoperationofdividing. i. Example:2/5ofthecakerepresents2piecesofthewholecakeifitwere splitinto5equalpieces. ii. Contrast:2 ÷ 5istheamountofcakeeachpersonwillgetif2identical cakesaredividedequallyamong5people. b. Howdotheyrelate i. 1.Startwiththeideaofsplittingthecakesequallyamong5people 1. Todothis,wetakeeachcakeanddivideeachinto5equalpieces. Eachpersongetsonepiecefromeachcake ii. Now,takethatone

Step 2 of 3

Chapter 6.1, Problem 11 is Solved
Step 3 of 3

Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

Since the solution to 11 from 6.1 chapter was answered, more than 412 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 11 from chapter: 6.1 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. The answer to “Suppose that in a biological system there are n species of animals and m sources of food. Let Xj represent the population of the y'th species, for each j 1representthe available daily supply of the /th food; and ciij represent the amount of the ith food consumed on the average by a member ofthe jth species. The linear system "llXi + <12X2 + + *|nX = b\, fl2|Xi + 022*2 + + 02nX = b2, Oml*1 + Om2*2 + 4 + ClmnX,, = bm represents an equilibrium where there is a daily supply of food to precisely meet the average daily consumption of each species, a. Let 1 2 0 3 " 1 0 2 2 0 0 1 1 x = (xj) = [1000,500, 350, 400], and b = (6,) = [3500, 2700, 900]. Is there sufficient food to satisfy the average daily consumption b. What is the maximum number of animals of each species that could be individually added to the system with the supply offood still meeting the consumption? c. Ifspecies 1 became extinct, how much of an individual increase ofeach ofthe remaining species could be supported? d. Ifspecies 2 became extinct, how much of an individual increase of each ofthe remaining species could be supported?” is broken down into a number of easy to follow steps, and 209 words.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Suppose that in a biological system there are n species of animals and m sources of