Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 6.2, Problem 26E
Resource Allocation Podunk Institute of Technology’s Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 60 students, and each section of Applied Calculus has 50. The department is allowed to offer a total of up to 110 sections. Furthermore, no more than 6,000 students want to take a math course. (No student will take more than one math course.) Suppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. (The profit is the difference between what the students are charged and what the professors are paid.) How many sections of each course should the department offer to make the largest profit? [HINT: See Example 2.]
Expert Solution & Answer
Trending nowThis is a popular solution!
Chapter 6 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 16ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 19ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - In Exercises 1-26, sketch the region that...Ch. 6.1 - Prob. 26ECh. 6.1 - In Exercises 27-32, we suggest that you use...Ch. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Nutrition, Ruff, Inc. makes dog food out of...Ch. 6.1 - Purchasing Enormous State Universitys Business...Ch. 6.1 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.1 - Prob. 38ECh. 6.1 - Municipal Bond Funds The Pioneer Investment...Ch. 6.1 - Mutual Funds In 2015, the Phoenix/Zweig Advisors...Ch. 6.1 - Investments: Financial Stocks (Compare Exercise 51...Ch. 6.1 - Investments: High-Dividend Stocks (Compare...Ch. 6.1 - Advertising You are the marketing director for a...Ch. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Draw several bounded regions described by linear...Ch. 6.1 - In Exercises 51-54, you are mixing x grams of...Ch. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - In the situation described in Exercise 55, is it...Ch. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 3ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 8ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 13ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 21ECh. 6.2 - Exercises 1-24, solve the given LP problem. If no...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Resource Allocation You manage an ice cream...Ch. 6.2 - Resource Allocation Podunk Institute of...Ch. 6.2 - Nutrition Ruff, Inc. makes dog food out of chicken...Ch. 6.2 - Purchasing Enormous State Universitys Business...Ch. 6.2 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.2 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.2 - Energy Efficiency You are thinking of making your...Ch. 6.2 - Energy Efficiency (Compare with Exercise 31). You...Ch. 6.2 - Prob. 33ECh. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Bodybuilding Supplements Exercises 33-36 are based...Ch. 6.2 - Resource Allocation Your salami manufacturing...Ch. 6.2 - Project Design The Megabuck Hospital Corporation...Ch. 6.2 - Prob. 39ECh. 6.2 - Television Advertising On Monday evenings in April...Ch. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Investments: Financial Stocks (Compare Exercise 41...Ch. 6.2 - Investments: High-Dividend Stocks (Compare...Ch. 6.2 - Planning My friends: I, the mighty Brutus, have...Ch. 6.2 - Prob. 46ECh. 6.2 - Resource Allocation One day, Gillian the magician...Ch. 6.2 - Prob. 49ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Prob. 58ECh. 6.2 - Prob. 59ECh. 6.2 - Create an interesting scenario leading to the...Ch. 6.2 - Use an example to show why there may be no optimal...Ch. 6.2 - Prob. 62ECh. 6.2 - Prob. 63ECh. 6.2 - Prob. 64ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.3 - Maximize p=2x+y Subject to x+2y6 x+y4 x+y4 x0,y0....Ch. 6.3 - Prob. 2ECh. 6.3 - Maximize p=xy Subject to 5x5y20 2x10y40 x0,y0.Ch. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Maximize p=x+y+z+w Subject to x+y+z3 y+z+w4 x+z+w5...Ch. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - In Exercises 15-20 we suggest the use of...Ch. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Purchasing You are in charge of purchases at the...Ch. 6.3 - Sales The Marketing Club at your college has...Ch. 6.3 - Resource Allocation Arctic Juice Company makes...Ch. 6.3 - Purchasing Trans Global Tractor Trailers has...Ch. 6.3 - Prob. 25ECh. 6.3 - Resource Allocation You manage an ice cream...Ch. 6.3 - Agriculture Your small farm encompasses 100 acres,...Ch. 6.3 - Agriculture Your farm encompasses 500 acre, and...Ch. 6.3 - Resource Allocation (Compare Exercise 36 in...Ch. 6.3 - Prob. 30ECh. 6.3 - Gaming Exercises 31 and 32 are based on the...Ch. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Bodybuilding Supplements Exercises 35 and 36 are...Ch. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Loan Planning27 Enormous State Universitys...Ch. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Transportation Scheduling Your publishing company...Ch. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Are there any types of linear programming problems...Ch. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - What is a basic solution? How might one find a...Ch. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Agriculture (Compare Exercise 27 in Section 6.3.)...Ch. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Purchasing Bingos Copy Center needs to buy white...Ch. 6.4 - Resource Allocation Succulent Citrus produce...Ch. 6.4 - Prob. 30ECh. 6.4 - Latin Music Sales (Digital) You are about to go...Ch. 6.4 - Prob. 32ECh. 6.4 - Gaming Exercises 33-36 are based on the following...Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Nutrition Gerber Products Gerber Mixed Cereal for...Ch. 6.4 - Prob. 39ECh. 6.4 - Purchasing Federal Rent-a-Car is pulling together...Ch. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.4 - Prob. 55ECh. 6.4 - Prob. 56ECh. 6.4 - Prob. 57ECh. 6.4 - Prob. 58ECh. 6.4 - Prob. 59ECh. 6.4 - Prob. 60ECh. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - In Exercises 1-8, write down (without solving) the...Ch. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 29ECh. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Many of Exercises 29-40 are similar or identical...Ch. 6.5 - Prob. 41ECh. 6.5 - Game Theory: Marketing Your companys new portable...Ch. 6.5 - Prob. 43ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Give one possible advantage of using duality to...Ch. 6.5 - To ensure that the dual of a minimization problem...Ch. 6.5 - Give an example of a standard minimization problem...Ch. 6.5 - Give an example of a nonstandard minimization...Ch. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.5 - Prob. 55ECh. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - In Exercises 1-4, sketch the region corresponding...Ch. 6 - In Exercises 5-8, solve the given linear...Ch. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - In Exercises 9-18, solve the given linear...Ch. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - In Exercises 23-26, solve the game with the given...Ch. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Exercises 27-30 are adapted from the Actuarial...Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - In Exercises 31-34, you are the buyer for...Ch. 6 - Prob. 34RECh. 6 - Investments Marjory Duffins portfolio manager has...Ch. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Degree Requirements No sooner had the new and...Ch. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RE
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
- Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.arrow_forwardA commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forwardIf a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?arrow_forward
- Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forwardA florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and three chrysanthemums. Each medium arrangement contains two roses, four daisies, and six chrysanthemums. Each large arrangement contains four roses, eight daisies, and six chrysanthemums. One day, the florist noted that she used a total of 24 roses, 50 daisies, and 48 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
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