Finite Mathematics and Calculus with Applications (10th Edition)
Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
bartleby

Videos

Textbook Question
Book Icon
Chapter 3, Problem 42RE

Construction A contractor builds boathouses in two basic models, the Atlantic and the Pacific. Each Atlantic model requires 1000 ft of framing lumber, 3000 ft3 of concrete, and $2000 for advertising. Each Pacific model requires 2000 ft of framing lumber, 3000 ft3 of concrete, and $3000 for advertising. Contracts call for using at least 8000 ft of framing lumber, 18,000 ft3 of concrete, and $15,000 worth of advertising. If the construction cost for each Atlantic model is $30,000 and the construction cost for each Pacific model is $40,000, how many of each model should be built to minimize construction costs?

Blurred answer
Students have asked these similar questions
A contractor, Susan Meyer, has to haul gravel to three building sites. She can purchase as much as 18 tons at a gravel pit in the north of the city and 14 tons at one in the south. She needs 10, 5, and 10 tons at sites 1, 2, and 3, respectively. The purchase price per ton at each gravel pit and the hauling cost per ton are given in the table below. Susan wishes to determine how much to haul from each pit to each site to minimize the total cost for purchasing and hauling gravel. Hauling Cost per Ton at Site Pit 1 3 Price per Ton North $30 $60 $50 $100 South $60 $30 $40 $120 Now suppose that trucks (and their drivers) need to be hired to do the hauling, where each truck can only be used to haul gravel from a single pit to a single site. Each truck can haul 5 tons, and the cost per truck is five times the hauling cost per ton given above. Only full trucks would be used to supply each site. a. Formulate this problem as an assignment problem by constructing the appropriate cost table,…
A campus student group is raising funds for charity by selling cups of boba tea. The expenses incurred by this student group are the cost of materials, estimated at $2 per cup (tea, boba, milk, sugar, cups, the big honking straws, napkins, etc.) and the $150 cost of renting the brewing and cooking space. The group will charge students $4 for each cup.a. Write down the associated cost, revenue, and profit functions. b. How many cups of boba must they sell to break even?c. What profit (or loss) results from the sale of 50 cups?
A construction company needs to dig a hole and fill it with gravel. The company has two options. The first is to dig a hole in the shape of a right rectangular prism that is 5 meters long, 3.5 meters wide, and 3 meters high and fill it with a gravel that costs $14.50 per cubic meter. The other option is to dig a hole in the shape of a right rectangular prism that is 4 meters long, 3 meters wide, and 3.5 meters high and fill it with a gravel that costs $15.75 per cubic meter. Which option will cost the construction company less to dig and fill? You must show your work

Chapter 3 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - The regions A through G in the figure can be...Ch. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 47ECh. 3.2 - Prob. 1YTCh. 3.2 - Prob. 1WECh. 3.2 - Prob. 2WECh. 3.2 - Prob. 3WECh. 3.2 - Prob. 4WECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.3 - Prob. 1YTCh. 3.3 - Prob. 2YTCh. 3.3 - Prob. 3YTCh. 3.3 - Prob. 1WECh. 3.3 - Prob. 2WECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Finance A pension fund manager decides to invest a...Ch. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Blending The Mostpure Milk Company gets milk from...Ch. 3.3 - Profit The Muro Manufacturing Company makes two...Ch. 3.3 - Revenue A machine shop manufactures two types of...Ch. 3.3 - Revenue The manufacturing process requires that...Ch. 3.3 - Transportation A flash drive manufacturer has 370...Ch. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Life Sciences 21. Health Care David Willis takes...Ch. 3.3 - Predator Food Requirements A certain predator...Ch. 3.3 - Nutrition A dietician is planning a snack package...Ch. 3.3 - Health Care Jennifer Morales was given the...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 4RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 6RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 8RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 10RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 12RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 14RECh. 3 - Graph each linear inequality. 15. y 2x + 3Ch. 3 - Prob. 16RECh. 3 - Graph each linear inequality. 17. 2x + 6y 8Ch. 3 - Prob. 18RECh. 3 - Graph each linear inequality. 19. y xCh. 3 - Prob. 20RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 22RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 24RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 26RECh. 3 - Use the given regions to find the maximum and...Ch. 3 - Prob. 28RECh. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 30RECh. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - It is not necessary to check all corner points in...Ch. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Profit Refer to Exercise 37. (a) How many batches...Ch. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Construction A contractor builds boathouses in two...Ch. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - General Interest 46. Studying Ty Olden is trying...
Knowledge Booster
Background pattern image
Calculus
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
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
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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