Finite Mathematics and Calculus with Applications
1st Edition
ISBN: 9781323188361
Author: Margaret Lial
Publisher: Pearson Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4.4, Problem 26E
Investments Deb Harden has decided to invest a $100,000 inheritance in government securities that earn 7% per year, municipal bonds that earn 6% per year, and mutual funds that earn an average of 10% per year. She will spend at least $40,000 on government securities, and she wants at least half the inheritance to go to bonds and mutual funds. Government securities have an initial fee of 2%, municipal bonds have an initial fee of 1%, and mutual funds have an initial fee of 3%. Deb has $2400 available to pay initial fees. How much should be invested in each way to maximize the interest yet meet the constraints? What is the maximum interest she can earn?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
company A has a total of 20 000 shares, Mr. sanchez owns 10,00 shares in Company A. If company A declared a 1,000,000 dividend then how much is the dividend Mr. Sanchez will receive?
A mutual fund has total assets of $19 million and total liabilities of $3 million. There are 2 million shares outstanding. You invest $5000 in this fund. How many shares are you purchasing?
shares
Don James wants to invest $63,000 to earn $5,650 per year. He can invest in B-rated bonds
paying 15% per year or in a Certificate of Deposit (CD) paying 5% per year. How much money
should be invested in each to realize exactly $5,650 in interest per year?
A. $38,000 in B-rated bonds and $25,000 in a CD
B. $25,000 in B-rated bonds and $38,000 in a CD
C. $37,000 in B-rated bonds and $26,000 in a CD
D. $26,000 in B-rated bonds and $37,000 in a CD
Chapter 4 Solutions
Finite Mathematics and Calculus with Applications
Ch. 4.1 - Prob. 1YTCh. 4.1 - Prob. 2YTCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - For Exercises 58, (a) determine the number of...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8E
Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Pivot once as indicated in each simplex tableau....Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 31ECh. 4.2 - Use the simplex method to solve the problem in...Ch. 4.2 - Pivot on the 4 in Example 2 and write the...Ch. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 4WECh. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - The simplex algorithm still works if an indicator...Ch. 4.2 - What goes wrong if a quotient other than the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Profit A manufacturer makes two products, toy...Ch. 4.2 - Profit The Ball Company manufactures three types...Ch. 4.2 - Profit The Golden Hawk Manufacturing Company wants...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 36ECh. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 40ECh. 4.3 - Prob. 1YTCh. 4.3 - Prob. 2YTCh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Use the simplex method to solve. 10. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 11. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 12....Ch. 4.3 - Prob. 13ECh. 4.3 - Use the simplex method to solve. 14....Ch. 4.3 - Use the simplex method to solve. 15....Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Suppose the coefficient of 3 in the objective...Ch. 4.3 - Business and Economics 19. Production Costs A...Ch. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - In most examples of this section, the original...Ch. 4.3 - Prob. 23ECh. 4.3 - Business and Economics 24. Animal Food An animal...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.4 - Prob. 1YTCh. 4.4 - Finish the missing steps in Example 2 and show the...Ch. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Use the simplex method to solve. 9. Find x1 0 and...Ch. 4.4 - Prob. 10ECh. 4.4 - Use the simplex method to solve. 11. Find x1 0,...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Solve using artificial variables. 17.Ch. 4.4 - Prob. 18ECh. 4.4 - Solve using artificial variables. 19.Ch. 4.4 - Solve using artificial variables. 20.Ch. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Transportation Change Exercise 23 so that the two...Ch. 4.4 - Transportation The manufacturer of a popular...Ch. 4.4 - Investments Deb Harden has decided to invest a...Ch. 4.4 - Finance A bank has set aside a maximum of 25...Ch. 4.4 - Blending Seed Topgrade Turf lawn seed mixture...Ch. 4.4 - Blending Seed Change Exercise 28 so that the...Ch. 4.4 - Prob. 30ECh. 4.4 - Blending Chemicals Natural Brand plant food is...Ch. 4.4 - Prob. 32ECh. 4.4 - Calorie Expenditure Joe Veteres exercise regimen...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - For each problem, (a) add slack variables or...Ch. 4 - For each problem, (a) add slack variables or...Ch. 4 - Use the simplex method to solve each maximization...Ch. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Use the simplex method to solve each problem. (You...Ch. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - In solving a linear programming problem, you are...Ch. 4 - In Chapter 2 we wrote a system of linear equations...Ch. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - APPLICATIONS For Exercises 3740, (a) select...Ch. 4 - Solve Exercise 37. Business and Economics 37....Ch. 4 - Solve Exercise 38. Business and Economics 38....Ch. 4 - Solve Exercise 39. 39. Profit The Aged Wood Winery...Ch. 4 - Solve Exercise 40. 40. Production Costs Cauchy...Ch. 4 - Canning Cauchy Canners produces canned corn,...Ch. 4 - Food Cost A store sells two brands of snacks. A...Ch. 4 - Calorie Expenditure Gingers exercise regimen...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- 1-Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (after a year). However, the second account suffered a 2% loss in the same time period. At the end of one year, the total amount of money gained was $930.00. How much was invested into each account? was invested in the account that gained 13% and$ was invested in the account that lost 2%. 2-The Nutty Professor sells cashews for $7.40 per pound and Brazil nuts for $4.30 per pound. How much of each type should be used to make a 46 pound mixture that sells for $5.98 per pound?Round answers to the nearest pound. pounds of cashews pounds of Brazil nuts 3-Taylor invests $7000 in two different accounts. The first account paid 8 %, the second account paid 14 % in interest. At the end of the first year he had earned $632 in interest. How much was in each account?$ at 8 %$ at 14 % 4- If 95 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.5 and…arrow_forwardSuppose a lottery with 1,000,000 tickets has a first prize of $200,000, three second prizes of $60,000 each and 100 third prizes of $200 each. How much should the state charge for a ticket if it needs 10% of the revenue for overhead and wants to make a $500,000 profit ?arrow_forwardRunHeavy Corporation (RHC) is a corporation that manages a local band. It had the following activities during its first month. RHC was formed with an investment of $11,900 cash, paid in by the leader of the band on January 3 in exchange for common stock. On January 4, RHC purchased music equipment by paying $2,300 cash and signing an $9,600 promissory note payable in three years. On January 5, RHC booked the band for six concert events, at a price of $2,800 each, but no cash was collected yet. Of the six events, four were completed between January 10 and 20. On January 22, cash was collected for three of the four events. The other two bookings were for February concerts, but on January 24, RHC collected half of the $2,800 fee for one of them. On January 27, RHC paid $3,440 cash for the band’s travel-related costs. On January 28, RHC paid its band members a total of $2,490 cash for salaries and wages for the first three events. As of January 31, the band members hadn’t yet been paid…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
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