Finite Mathematics & Its Applications (12th Edition)
12th Edition
ISBN: 9780134437767
Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.2, Problem 26E
Furniture Factory A furniture manufacturer produces small sofas, large sofas, and chairs. The profits per item are, respectively, $60, $60, and $50. The pieces of furniture require the following numbers of labor-hours for their manufacture:
Carpentry |
Upholstery |
Finishing |
|
Small sofas |
10 |
30 |
20 |
Large sofas |
10 |
30 |
0 |
Chairs |
10 |
10 |
10 |
The following amounts of labor are available per month: carpentry, at most 1200 hours; upholstery, at most 3000 hours; and finishing, at most 1800 hours. How many each of small sofas, large sofas, and chairs should be manufactured to maximize profit?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A tank contains 60 kg of salt and 2000 L of water. Pure water enters a tank at the rate 8 L/min. The
solution is mixed and drains from the tank at the rate 11 L/min.
Let y be the number of kg of salt in the tank after t minutes.
The differential equation for this situation would be:
dy
dt
y(0) =
Simplify the below expression.
3 - (-7)
Solve the initial value problem:
y= 0.05y + 5
y(0) = 100
y(t) =
Chapter 4 Solutions
Finite Mathematics & Its Applications (12th Edition)
Ch. 4.1 - 1. Determine by inspection a particular solution...Ch. 4.1 - Prob. 2CYUCh. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - 7–12 For each of the linear programming problems...
Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - 7–12 For each of the linear programming problems...Ch. 4.1 - 7–12 For each of the linear programming problems...Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - In Exercises 1320, find the particular solution...Ch. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - In Exercises 1320, find the particular solution...Ch. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - Prob. 18ECh. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - In Exercises 1320, find the particular solution...Ch. 4.1 - Pivot the simplex tableau...Ch. 4.1 - Pivot the simplex tableau...Ch. 4.1 - 23. (a) Name the group I and group II variables in...Ch. 4.1 - 24. (a) Name the group I and group II variables in...Ch. 4.2 - 1. Which of these simplex tableaux has a solution...Ch. 4.2 - Prob. 2CYUCh. 4.2 - In Exercises 1–6, determine the next pivot element...Ch. 4.2 - In Exercises 16, determine the next pivot element...Ch. 4.2 - In Exercises 16, determine the next pivot element...Ch. 4.2 - In Exercises 1–6, determine the next pivot element...Ch. 4.2 - Prob. 5ECh. 4.2 - In Exercises 16, determine the next pivot element...Ch. 4.2 - !! For each of the simplex tableaux in Exercises...Ch. 4.2 - For each of the simplex tableaux in Exercises...Ch. 4.2 - !! For each of the simplex tableaux in Exercises...Ch. 4.2 - For each of the simplex tableaux in Exercises...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - 21. Toy Factory A toy manufacturer makes...Ch. 4.2 - 22. Agriculture A large agricultural firm has 250...Ch. 4.2 - 23. Furniture Factory Suppose that a furniture...Ch. 4.2 - Stereo Store A stereo store sells three brands of...Ch. 4.2 - Weight Loss and exercise As part of a...Ch. 4.2 - 26. Furniture Factory A furniture manufacturer...Ch. 4.2 - Prob. 27ECh. 4.2 - Baby Products A baby products company makes car...Ch. 4.2 - Potting Soil Mixes A lawn and garden store creates...Ch. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - 32. Maximize subject to the constraints
Ch. 4.2 - Maximize 60x+90y+300z subject to the constraints...Ch. 4.2 - 34. Maximize subject to the constraints
Ch. 4.2 - Maximize 2x+4y subject to the constraints...Ch. 4.2 - Prob. 36ECh. 4.2 - In Exercises 1–6, determine the next pivot element...Ch. 4.3 - 1. Convert the following minimum problem into a...Ch. 4.3 - Suppose that the solution of a minimum problem...Ch. 4.3 - In Exercises 14, write each linear programming...Ch. 4.3 - In Exercises 14, write each linear programming...Ch. 4.3 - In Exercises 1–4, write each linear programming...Ch. 4.3 - In Exercises 1–4, write each linear programming...Ch. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - In Exercises 916, solve the linear programming...Ch. 4.3 - In Exercises 9–16, solve the linear programming...Ch. 4.3 - In Exercises 9–16, solve the linear programming...Ch. 4.3 - In Exercises 9–16, solve the linear programming...Ch. 4.3 - Prob. 13ECh. 4.3 - In Exercises 916, solve the linear programming...Ch. 4.3 - In Exercises 916, solve the linear programming...Ch. 4.3 - Prob. 16ECh. 4.3 - 17. Nutrition A dietitian is designing a daily...Ch. 4.3 - Electronics Manufacture A manufacturing company...Ch. 4.3 - Supply and Demand An appliance store sells three...Ch. 4.3 - 20. Political Campaign A citizen decides to...Ch. 4.3 - Inventory A Manufacturer of computers must fill...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - 24. Maximize subject to the constraints
Ch. 4.4 - Consider the furniture manufacturing problem,...Ch. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Exercises 3 and 4 refer to the transportation...Ch. 4.4 - Exercises 3 and 4 refer to the transportation...Ch. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - In Exercises 13 and 14, give the matrix...Ch. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - 19. Create a sensitivity report for the...Ch. 4.4 - Create a sensitivity report for the nutrition...Ch. 4.5 - A linear programming problem involving three...Ch. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - In Exercises 16, determine the dual problem of the...Ch. 4.5 - In Exercises 16, determine the dual problem of the...Ch. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - 7. The final simplex tableau for the linear...Ch. 4.5 - The final simplex tableau for the dual of the...Ch. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - In Exercises 11–14, determine the dual problem....Ch. 4.5 - Prob. 13ECh. 4.5 - In Exercises 11–14, determine the dual problem....Ch. 4.5 - 15. Cutting edge Knife Co. Give an economic...Ch. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Use the dual to solve Exercises 20 and 21....Ch. 4.5 - Use the dual to solve Exercises 20 and...Ch. 4 - 1. What is the standard maximization form of a...Ch. 4 - Prob. 2FCCECh. 4 - Prob. 3FCCECh. 4 - Give the steps for carrying out the simplex method...Ch. 4 - Prob. 5FCCECh. 4 - Prob. 6FCCECh. 4 - Prob. 7FCCECh. 4 - State the fundamental theorem of duality.Ch. 4 - Prob. 9FCCECh. 4 - 10. What is meant by “sensitivity analysis”?
Ch. 4 - Prob. 11FCCECh. 4 - In Exercises 1–10, use the simplex method to solve...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 - Determine the dual problem of the linear...Ch. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Consider the linear programming problems in...Ch. 4 - Prob. 17RECh. 4 - Nutrition A camp counselor wants to make a...Ch. 4 - Prob. 19RECh. 4 - 20. Stereo Store Consider the stereo store of...Ch. 4 - Jason’s House of Cheese offers two cheese...Ch. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Jasons House of Cheese offers two cheese...Ch. 4 - Jasons House of Cheese offers two cheese...Ch. 4 - Prob. 6P
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
- I need expert solution to this question s pleasearrow_forward(6) ≤ a) Determine the following groups: Homz(Q, Z), Homz(Q, Q), Homz(Q/Z, Z) for n E N. Homz(Z/nZ, Q) b) Show for ME MR: HomR (R, M) = M.arrow_forwardAlready got wrong chatgpt answer Plz don't use chatgpt answer will upvote otherwise leave it .arrow_forward
- y=f'(x) 1 8 The function f is defined on the closed interval [0,8]. The graph of its derivative f' is shown above. How many relative minima are there for f(x)? O 2 6 4 00arrow_forward60! 5!.7!.15!.33!arrow_forwardUse Euler's summation formula to prove that, for x > 2, Σ log n n3 = A log x 2x2 n≤x where A is a constant. - 1 +0 4x2 log x x3 "arrow_forward
- • • Let > be a potential for the vector field F = (−2 y³, −6 xy² − 4 z³, −12 yz² + 4 2). Then the value of sin((-1.63, 2.06, 0.57) – (0,0,0)) is - 0.336 -0.931 -0.587 0.440 0.902 0.607 -0.609 0.146arrow_forward1. If f(x² + 1) = x + 5x² + 3, what is f(x² - 1)?arrow_forward2. What is the total length of the shortest path that goes from (0,4) to a point on the x-axis, then to a point on the line y = 6, then to (18.4)?arrow_forward
- The value of cos(4M) where M is the magnitude of the vector field with potential ƒ = e² sin(лy) cos(π²) at x = 1, y = 1/4, z = 1/3 is 0.602 -0.323 0.712 -0.816 0.781 0.102 0.075 0.013arrow_forwardThere is exactly number a and one number b such that the vector field F = conservative. For those values of a and b, the value of cos(a) + sin(b) is (3ay + z, 3ayz + 3x, −by² + x) is -0.961 -0.772 -1.645 0.057 -0.961 1.764 -0.457 0.201arrow_forwardWhat is the volume of a sphere with a radius of pie cm?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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