Finite Mathematics and Application Calculus (Looseleaf) - Text Only

7th Edition

ISBN: 9781337291484

Author: Waner

Publisher: Cengage

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Textbook Question

Chapter 5.4, Problem 37E

Study Techniques Your mathematics test is tomorrow and will cover the following topics: game theory, linear programming, and matrix algebra. You have decided to do an all-nighter and must determine how to allocate your 8 hours of study time among the three topics. If you were to spend the entire 8 hours on any one of these topics (thus using a pure strategy), you feel confident that you would earn a 90% score on that portion of the test but would not do so well on the other topics. You have come up with the following table, where the entries are your expected scores. (The fact that linear programming and matrix algebra are used in game theory is reflected in these numbers.)

Test

Your Strategies	Game	Linear Programming	Matrix Algebra
Game Theory	90	70	70
Linear Programming	40	90	40
Matrix Algebra	60	40	90

You have been told that the test will be weighted as follows: game theory: 25%, linear programming: 50%, and matrix algebra: 25%.

a. If you spend 25% of the night on game theory, 50% on linear programming, and 25% on matrix algebra, what score do you expect to get on the test?

b. Is it possible to improve on this by altering your study schedule? If so, what is the highest score you can expect on the test?

c. If your study schedule is according to part (a) and your teacher decides to forget her promises about how the test will be weighted and instead bases it all on a single topic, which topic would be worst for you, and what score could you expect on the test?

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Chapter 5.4, Problem 36E

Chapter 5.4, Problem 38E

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Chapter 5 Solutions

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

Ch. 5.1 - In Exercises 110, find the dimensions of the given...Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - In Exercises 110, find the dimensions of the given...Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

Ch. 5.1 - Solve for x,y,z,andw. [HINT: See Example 1.]...Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - In Exercises 1320, evaluate the given expression....Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - In Exercises 2128, evaluate the given expression....Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - In Exercises 2128, evaluate the given expression....Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - In Exercises 2936, use technology to evaluate the...Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Sales The following table shows the number of Mac...Ch. 5.1 - Home Prices The following table shows median home...Ch. 5.1 - Inventory The Left Coast Bookstore chain has two...Ch. 5.1 - Inventory The Left Coast Bookstore chain discussed...Ch. 5.1 - Prob. 41E Ch. 5.1 - Revenue The following spreadsheet gives annual...Ch. 5.1 - Prob. 43E Ch. 5.1 - Population Movement In 1990 the U.S. population,...Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Inventory Microbucks Computer Company, besides...Ch. 5.1 - Tourism in the 1990s The following table gives the...Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - Prob. 60E Ch. 5.1 - Prob. 61E Ch. 5.1 - Prob. 62E Ch. 5.1 - Prob. 63E Ch. 5.1 - Prob. 64E Ch. 5.1 - Prob. 65E Ch. 5.1 - Prob. 66E Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Exercises 3138 should be done in two ways: by hand...Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Exercises 3138 should be done in two ways: by hand...Ch. 5.2 - Prob. 37E Ch. 5.2 - Prob. 38E Ch. 5.2 - Prob. 39E Ch. 5.2 - Prob. 40E Ch. 5.2 - Prob. 41E Ch. 5.2 - Prob. 42E Ch. 5.2 - Prob. 43E Ch. 5.2 - Prob. 44E Ch. 5.2 - Prob. 45E Ch. 5.2 - Prob. 46E Ch. 5.2 - Prob. 47E Ch. 5.2 - In Exercises 4548, translate the given matrix...Ch. 5.2 - Prob. 49E Ch. 5.2 - Prob. 50E Ch. 5.2 - Prob. 51E Ch. 5.2 - Prob. 52E Ch. 5.2 - Prob. 53E Ch. 5.2 - Revenue Karen Sandberg, your competitor in...Ch. 5.2 - Prob. 55E Ch. 5.2 - Prob. 56E Ch. 5.2 - Revenue Recall the Left Coast Bookstore chain from...Ch. 5.2 - Prob. 58E Ch. 5.2 - Prob. 59E Ch. 5.2 - Income Exercises 5962 are based on the following...Ch. 5.2 - Income Exercises 5962 are based on the following...Ch. 5.2 - Prob. 62E Ch. 5.2 - Prob. 63E Ch. 5.2 - Prob. 64E Ch. 5.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 5.2 - Prob. 66E Ch. 5.2 - Prob. 67E Ch. 5.2 - Prob. 68E Ch. 5.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 5.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 5.2 - Prob. 71E Ch. 5.2 - Prob. 72E Ch. 5.2 - Tourism in the 1990s The following table gives the...Ch. 5.2 - Tourism in the 1990s Referring to the tourism...Ch. 5.2 - Prob. 75E Ch. 5.2 - Prob. 76E Ch. 5.2 - Give an example of two matrices A and B such that...Ch. 5.2 - Prob. 78E Ch. 5.2 - Prob. 79E Ch. 5.2 - Prob. 80E Ch. 5.2 - Prob. 81E Ch. 5.2 - Prob. 82E Ch. 5.2 - Prob. 83E Ch. 5.2 - Prob. 84E Ch. 5.2 - Prob. 85E Ch. 5.2 - Prob. 86E Ch. 5.3 - In Exercises 16, determine whether or not the...Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - In Exercises 726, use row reduction to find the...Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - In Exercises 726, use row reduction to find the...Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Prob. 13E Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 16E Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 32E Ch. 5.3 - In Exercises 2734, compute the determinant of the...Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - Prob. 37E Ch. 5.3 - Prob. 38E Ch. 5.3 - Prob. 39E Ch. 5.3 - In Exercises 3542, use technology to find the...Ch. 5.3 - Prob. 41E Ch. 5.3 - Prob. 42E Ch. 5.3 - Prob. 43E Ch. 5.3 - Prob. 44E Ch. 5.3 - Prob. 45E Ch. 5.3 - Prob. 46E Ch. 5.3 - In Exercises 4348, use matrix inversion to solve...Ch. 5.3 - Prob. 48E Ch. 5.3 - Prob. 49E Ch. 5.3 - Prob. 50E Ch. 5.3 - Some of the following exercises are similar or...Ch. 5.3 - Prob. 52E Ch. 5.3 - Some of the following exercises are similar or...Ch. 5.3 - Some of the following exercises are similar or...Ch. 5.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 5.3 - Prob. 56E Ch. 5.3 - Investing: Lesser-Known Stocks Exercises 5758 are...Ch. 5.3 - Prob. 58E Ch. 5.3 - Population Movement In 2009 the population of the...Ch. 5.3 - Prob. 60E Ch. 5.3 - Prob. 61E Ch. 5.3 - Rotations If a point (x,y) in the plane is rotated...Ch. 5.3 - Encryption Matrices are commonly used to encrypt...Ch. 5.3 - Encryption Matrices are commonly used to encrypt...Ch. 5.3 - Prob. 65E Ch. 5.3 - Prob. 66E Ch. 5.3 - Multiple choice: If A and B are square matrices...Ch. 5.3 - Prob. 68E Ch. 5.3 - What can you say about the inverse of a 22 matrix...Ch. 5.3 - Prob. 70E Ch. 5.3 - Prob. 71E Ch. 5.3 - Derive the formula in Exercise 71 using row...Ch. 5.3 - Prob. 73E Ch. 5.3 - Prob. 74E Ch. 5.3 - Prob. 75E Ch. 5.3 - Solve the matrix equation A(B+CX)=D for X. (You...Ch. 5.3 - Prob. 77E Ch. 5.3 - Prob. 78E Ch. 5.4 - Prob. 1E Ch. 5.4 - Prob. 2E Ch. 5.4 - Prob. 3E Ch. 5.4 - Prob. 4E Ch. 5.4 - Prob. 5E Ch. 5.4 - Prob. 6E Ch. 5.4 - Prob. 7E Ch. 5.4 - Prob. 8E Ch. 5.4 - Prob. 9E Ch. 5.4 - In Exercises 914, reduce the given payoff matrix...Ch. 5.4 - In Exercises 914, reduce the given payoff matrix...Ch. 5.4 - In Exercises 914, reduce the given payoff matrix...Ch. 5.4 - Prob. 13E Ch. 5.4 - Prob. 14E Ch. 5.4 - Prob. 15E Ch. 5.4 - Prob. 16E Ch. 5.4 - Prob. 17E Ch. 5.4 - Prob. 18E Ch. 5.4 - Prob. 19E Ch. 5.4 - Prob. 20E Ch. 5.4 - Prob. 21E Ch. 5.4 - Prob. 22E Ch. 5.4 - Prob. 23E Ch. 5.4 - Prob. 24E Ch. 5.4 - Prob. 25E Ch. 5.4 - Prob. 26E Ch. 5.4 - Prob. 27E Ch. 5.4 - Prob. 28E Ch. 5.4 - In Exercises 2532, set up the payoff matrix....Ch. 5.4 - In Exercises 2532, set up the payoff matrix....Ch. 5.4 - In Exercises 2532, set up the payoff matrix....Ch. 5.4 - Prob. 32E Ch. 5.4 - Prob. 33E Ch. 5.4 - More Retail Discount Wars Your Abercrom B mens...Ch. 5.4 - Factory Location22 A manufacturer of electrical...Ch. 5.4 - Crop Choice23 A farmer has a choice of growing...Ch. 5.4 - Study Techniques Your mathematics test is tomorrow...Ch. 5.4 - Prob. 38E Ch. 5.4 - Prob. 39E Ch. 5.4 - Prob. 40E Ch. 5.4 - Prob. 41E Ch. 5.4 - Prob. 42E Ch. 5.4 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - Prob. 45E Ch. 5.4 - Prob. 46E Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48E Ch. 5.4 - Campaign Strategies27 Florida and Ohio are swing...Ch. 5.4 - Prob. 50E Ch. 5.4 - Prob. 51E Ch. 5.4 - Prob. 52E Ch. 5.4 - Prob. 53E Ch. 5.4 - Prob. 54E Ch. 5.4 - Prob. 55E Ch. 5.4 - Exercises 37 and 38 seem to suggest that studying...Ch. 5.4 - Prob. 57E Ch. 5.4 - Prob. 58E Ch. 5.5 - Let A be the technology matrix A=[0.20.050.80.01],...Ch. 5.5 - Let A be the technology matrix...Ch. 5.5 - Prob. 3E Ch. 5.5 - Prob. 4E Ch. 5.5 - Prob. 5E Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - Given A=[0.10.40.20.5], find the changes in...Ch. 5.5 - Prob. 14E Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Campus Food The two campus cafeterias, the Main...Ch. 5.5 - Plagiarism Two student groups at Enormous State...Ch. 5.5 - Prob. 21E Ch. 5.5 - Wood and Paper Two sectors of the U.S. economy are...Ch. 5.5 - Prob. 23E Ch. 5.5 - Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - Prob. 28E Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Exercises 3134 require the use of technology....Ch. 5.5 - Exercises 3134 require the use of technology....Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - What would it mean if the total output figure for...Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5 - For Exercises 110, let...Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - For Exercises 110, let...Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - Prob. 9RE Ch. 5 - Prob. 10RE Ch. 5 - Prob. 11RE Ch. 5 - Prob. 12RE Ch. 5 - Prob. 13RE Ch. 5 - Prob. 14RE Ch. 5 - Prob. 15RE Ch. 5 - Prob. 16RE Ch. 5 - Prob. 17RE Ch. 5 - Prob. 18RE Ch. 5 - In Exercises 1720, write the given system of...Ch. 5 - Prob. 20RE Ch. 5 - Prob. 21RE Ch. 5 - Prob. 22RE Ch. 5 - Prob. 23RE Ch. 5 - Prob. 24RE Ch. 5 - In Exercises 2528, find the production vector X...Ch. 5 - Prob. 26RE Ch. 5 - Prob. 27RE Ch. 5 - Prob. 28RE Ch. 5 - Prob. 29RE Ch. 5 - Prob. 30RE Ch. 5 - Prob. 31RE Ch. 5 - Prob. 32RE Ch. 5 - It is now July 1, and online sales of romance,...Ch. 5 - Prob. 34RE Ch. 5 - Prob. 35RE Ch. 5 - Prob. 36RE Ch. 5 - Prob. 37RE Ch. 5 - Prob. 38RE Ch. 5 - OHaganBooks.com has two main...Ch. 5 - Prob. 40RE Ch. 5 - OHaganBooks.com has two main...Ch. 5 - Prob. 42RE Ch. 5 - Prob. 43RE Ch. 5 - Prob. 44RE Ch. 5 - Prob. 45RE Ch. 5 - Prob. 46RE Ch. 5 - Prob. 47RE Ch. 5 - Prob. 48RE Ch. 5 - Prob. 49RE Ch. 5 - Some of the books sold by OHaganBooks.com are...Ch. 5 - Some of the books sold by OHaganBooks.com are...Ch. 5 - Some of the books sold by OHaganBooks.com are...

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Solution Summary: The author explains how to calculate the expected score in the test if it is weighted as 25% for game theory, 502% for linear programming, and 25% for matrix algebra.

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Chapter 5 Solutions