Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 2, Problem 73RE
Input-Output An economy depends on two commodities, goals and cheese. It takes 2/3 of a unit of goats to produce 1 unit of cheese and 1 /2 unit of cheese to produce 1 unit of goats.
(a) Write the input-output matrix for this economy.
(b) Find the production required to satisfy a demand of 400 units of cheese and 800 units of goats.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Finite Mathematics (11th Edition)
Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 -
Use the echelon method to solve each system of...Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 -
Use the echelon method to solve each system of...Ch. 2.1 - Prob. 9ECh. 2.1 - Prob. 10E
Ch. 2.1 -
Use the echelon method to solve each system of...Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 15ECh. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 17ECh. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 20ECh. 2.1 - An inconsistent system...Ch. 2.1 - Prob. 22ECh. 2.1 - Describe what a parameter is arid why it is used...Ch. 2.1 - In your own words, describe the echelon method as...Ch. 2.1 - Prob. 25ECh. 2.1 - Solve each system of equations. Let z be the...Ch. 2.1 - Solve each system of equations. Let z be the...Ch. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - For each of the following systems of equations in...Ch. 2.1 -
For each of the following systems of equations in...Ch. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 -
Groceries If 20 lb of rice and 10 lb of potatoes...Ch. 2.1 -
36. Downloads Blake Allvine spent $35.97...Ch. 2.1 - Prob. 37ECh. 2.1 -
38. Sales An apparel shop sells skirts for $45...Ch. 2.1 - Prob. 39ECh. 2.1 -
40. Stock Lorri Morgan has $16,000 invested in...Ch. 2.1 - Banking A bank teller has a total of 70 bills in...Ch. 2.1 - Rug Cleaning Machines Kelly Karpet Kleaners sells...Ch. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 -
48. Flight Time A flight leaves New York at 8...Ch. 2.1 -
49. The 24® Game The object of the 24 Game,...Ch. 2.2 -
Write the augmented matrix fur each system. Do...Ch. 2.2 -
Write the augmented matrix for each system. Do...Ch. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 -
Write the system of equations associated with...Ch. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Use the indicated row operations to change each...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 27ECh. 2.2 -
Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 -
43. On National Public Radio, the "Weekend...Ch. 2.2 - Prob. 44ECh. 2.2 - Investments Katherine Chong invests $10,000...Ch. 2.2 -
46. Office Technology Pyro-Tech, Inc. is...Ch. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Loans To get the necessary funds for a planned...Ch. 2.2 - Manufacturing Nadir, Inc. produces three models of...Ch. 2.2 -
51. Deliveries An electronics company produces...Ch. 2.2 - Tents L.L. Bean makes three sizes of Ultra Dome...Ch. 2.2 - Transportation A manufacturer purchases a part for...Ch. 2.2 - APPLY IT Transportation An auto manufacturer sends...Ch. 2.2 - Prob. 55ECh. 2.2 -
56. Packaging A company produces four...Ch. 2.2 - Prob. 57ECh. 2.2 - Animal Breeding An animal breeder can buy four...Ch. 2.2 - Prob. 59ECh. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 -
65. Modeling War One of the factors that...Ch. 2.2 - Prob. 66ECh. 2.2 -
67. Baseball Ichiro Suzuki holds the American...Ch. 2.2 - Prob. 68ECh. 2.2 -
69. Toys One hundred toys are to be given out to...Ch. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - Decide whether each statement is true or false. If...Ch. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - For matrices X=[ xyzw] and 0=[ 0000], find the...Ch. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 -
42. Trading Partners The table below gives, the...Ch. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Testing Medication A drug company is testing 200...Ch. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.4 - Let A=[ -2-403] and B=[ -6240]. Find each value....Ch. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 -
Let and Find each value.
6. 7B– 3A
Ch. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - To find the product matrix AB, the number of...Ch. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 -
Find each matrix product, if possible.
19.
Ch. 2.4 - Find each matrix product, if possible. [...Ch. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 -
Given matrices
verify that the statements in...Ch. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Use a computer or graphing calculator arid the...Ch. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Prob. 49ECh. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Prob. 55ECh. 2.4 - 56. Northern Spotted Owl Population In an attempt...Ch. 2.4 -
57. World Population The 2010 birth and death...Ch. 2.5 - Prob. 1ECh. 2.5 -
Decide whether the given matrices are inverses...Ch. 2.5 - Prob. 3ECh. 2.5 - Decide whether the given matrices are inverses of...Ch. 2.5 - Decide whether the given matrices are inverses of...Ch. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Find the inverse, if it exists, for each matrix. [...Ch. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 -
Solve each system of equations by using the...Ch. 2.5 -
Solve each system of equations by using the...Ch. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 -
Solve each system of equations by using the...Ch. 2.5 -
Solve each system of equations by using the...Ch. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Prob. 59ECh. 2.5 - Prob. 60ECh. 2.5 - Prob. 61ECh. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 63ECh. 2.5 -
Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 65ECh. 2.5 -
Solve each exercise by using the inverse of the...Ch. 2.6 -
Find the production matrix for the following...Ch. 2.6 - Prob. 2ECh. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Find the ratios of products A, B, and C using a...Ch. 2.6 - Prob. 9ECh. 2.6 - Use a graphing calculator or computer to find the...Ch. 2.6 - Prob. 11ECh. 2.6 -
Input-Output Open Model In Exercises 11 and 12,...Ch. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Input-Output Open Model In Exercises 13-16, refer...Ch. 2.6 - Input-Output Open Model In Exercises 13- refer to...Ch. 2.6 - Input-Output Open Model A primitive economy...Ch. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 -
21. Israeli Economy An analysis of the 1958...Ch. 2.6 -
22. Chinese Economy The 1981 Chinese economy can...Ch. 2.6 - Prob. 23ECh. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 -
27. Input-Output Closed Model Use the...Ch. 2.6 - Input-Output Closed Model Suppose that production...Ch. 2.6 - Prob. 29ECh. 2 - Find the second-order contact matrix PQ mentioned...Ch. 2 - Prob. 2EACh. 2 - Prob. 3EACh. 2 - Prob. 4EACh. 2 - Prob. 5EACh. 2 - Prob. 1RECh. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 -
Solve each system by the echelon method.
19. 2x -...Ch. 2 - Prob. 20RECh. 2 - Solve each system by the echelon method. 2x - 3y +...Ch. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Given the matrices A=[ 4102369],B=[ 232240012],C=[...Ch. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Find the inverse of each matrix that has an...Ch. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Filling Orders A printer has three orders for...Ch. 2 -
73. Input-Output An economy depends on two...Ch. 2 -
74. Nebraska The 1970 economy of the state of...Ch. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Prob. 77RECh. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 -
84. Baseball In the 2009 Major League Baseball...Ch. 2 - Prob. 85RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Nutrition A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these nutrients per ounce. (a) Find the inverse of the matrix [313424324] and use it to solve the remaining parts of this problem. (b) How many ounces of each food should the nutritionist feed his laboratory rats if he wants their daily diet to contain 10 mg of folic acid, 14 mg of choline, and 13 mg of inositol? (c) How much of each food is needed to supply 9 mg of folic acid, 12 mg of choline, and 10 mg of inositol? (d) Will any combination of these foods supply 2 mg of folic acid, 4 mg of choline, and 11 mg of inositol?arrow_forwardSolving for the Output Matrix A small community includes a farmer, a baker, and a grocer and has the input-output matrix D and external demand matrix E below. FarmerBakerGrocerD=[0.40.50.50.30.00.30.20.20.0]FarmerBakerGrocer and E=[100010001000] Solve for the output matrix X in the equation X=DX+E.arrow_forwardCAPSTONE In your own words, describe the difference between a matrix in row-echelon form and a matrix in reduced row echelon form. Include an example of each to support your explanation.arrow_forward
- Revenue: An electronics manufacturer produces three models of high-definition televisions, which are shipped to two warehouses. The shipment levels are represented by A. 12WarehouseA=5,0004,0006,00010,0008,0005,000ABCModel The prices per unit are represented by the matrix B=$699.95$899.95$1099.95. Compute BA and interpret the result.arrow_forwardUse matrix methods to solve each problem Nutritional planning One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 22 milligrams mg of niacin, 12 mg of zinc, and 20 mg of vitamin C? Food Niacin Zinc Vitamin C A 1 mg 1 mg 2 mg B 2 mg 1 mg 1 mg C 2 mg 1 mg 2 mgarrow_forwardFloral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $300 allocated for the centerpieces and wants each centerpiece to contain 12 flowers, with twice as many roses as the number of irises and lilies combined. (a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system. (b) Solve your system of linear equations using an inverse matrix. Find the number of flowers of each type that the florist can use to create the 10 centerpieces.arrow_forward
- Agriculture A fruit grower raises two crops, apples and peaches. The grower ships each of these crops to three different outlets. In the matrix A=12510075100175125 aij represents the number of units of crop i that the grower ships to outlet j. The matrix B=3.506.00 represents the profit per unit. Find the product BA and state what each entry of the matrix represents.arrow_forwardNutrition Refer to Exercise 61. Suppose food type C has been improperly labeled, and it actually contains 4 mg of folic acid, 6 mg of choline, and 5 mg of inositol per ounce. Would it still be possible to use matrix inversion to solve parts (b), (c), and (d) of Exercise 61? Why or why not?arrow_forwardCAPSTONE a Explain how to find an elementary matrix. b Explain how to use elementary matrices to find an LU-factorization of a matrix. c Explain how to use LU-factorization to solve a linear system.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY