Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
11th Edition
ISBN: 9780133886818
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.3, Problem 20E
Supply Costs The chemistry department at a local college decides to stock, at least 900 small lest lubes and 600 large test tubes. It wants to buy at least 2700 test tubes to take advantage of a special price. Since the small test tunes arc broken twice as often as the large, the department will order at least twice as many small tubes as large.
(a) If the small test tubes oust 18 cents each and the large ones, made of a cheaper glass, cost 15 cents each, how many of each size should be ordered to minimize cost?
(b) Suppose the minimum number of test tubes is increased to 3000. Use shadow costs to calculate the total cost in this case.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.
Chapter 4 Solutions
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 2ECh. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 4ECh. 4.1 - For Exercises 5-8. (a) determine the number of...Ch. 4.1 - Prob. 6ECh. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 -
Introduce slack variables as necessary, then...Ch. 4.1 - Introduce slack variables as necessary, then write...
Ch. 4.1 - Introduce slack variables as necessary, then write...Ch. 4.1 - Introduce slack variables as necessary, then write...Ch. 4.1 - Prob. 13ECh. 4.1 - Introduce slack variables as necessary, then write...Ch. 4.1 -
Write the solutions that can be read from each...Ch. 4.1 - Write the solutions that can be read from each...Ch. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Pivot once as indicated in each simplex tableau....Ch. 4.1 - Pivot once as indicated in each simplex tableau....Ch. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Explain the purpose of a slack variable.Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Set up Exercises 27for solution by the simplex...Ch. 4.2 -
In Exercises 1-6, the initial tableau of a linear...Ch. 4.2 -
In Exercises 1-6, the initial tableau of a linear...Ch. 4.2 - In Exercises 1-6, the initial tableau of a linear...Ch. 4.2 - In Exercises 1-6, the initial tableau of a linear...Ch. 4.2 -
In Exercises 1-6, the initial tableau of a linear...Ch. 4.2 - In Exercises 1- the initial tableau of a linear...Ch. 4.2 -
Use the simplex method to solve each linear...Ch. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 -
Use the simplex method to solve each linear...Ch. 4.2 - Prob. 14ECh. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - The simplex algorithm still works if an indicator...Ch. 4.2 -
20. What goes wrong if a quotient other than...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 -
Set up and solve Exercises 23–29 by the...Ch. 4.2 -
Set up and solve Exercises 23–29 by the simplex...Ch. 4.2 - Set up and solve Exercises 23–29 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 - Prob. 29ECh. 4.2 - Profit A manufacturer makes two products, toy...Ch. 4.2 - Exercises and 32 come from past CPA examinations....Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 -
37. Resource Management The average weights of...Ch. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.3 -
Find the transpose of each matrix.
1.
Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Find the transpose of each matrix. [...Ch. 4.3 -
State the dual problem for each linear...Ch. 4.3 - Prob. 6ECh. 4.3 -
State the dual problem for each linear...Ch. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 -
Use the simples method to solve.
10. Find y1 ≥...Ch. 4.3 -
Use the simplex method to solve.
11. Find y1 ≥...Ch. 4.3 -
Use the simplex method to solve.
12. Minimize w...Ch. 4.3 - Prob. 13ECh. 4.3 -
Use the simplex method to solve.
14. Minimize w =...Ch. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 -
19. Production Costs A brewery produces regular...Ch. 4.3 - Supply Costs The chemistry department at a local...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 -
24. Animal Food An animal food must provide at...Ch. 4.3 - Feed Costs Refer to Example 5 in this section on...Ch. 4.3 - Prob. 26ECh. 4.3 - Calorie Expenditure Maureen Rachford wants to...Ch. 4.3 -
28. Health Care Greg Conover takes vitamin...Ch. 4.3 - 29. Blending Nutrients A biologist must make a...Ch. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 -
Convert each problem into a maximization...Ch. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Use the simplex method to solve. Find x1 0, x2 0...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Solve using artificial variables. Maximize w =...Ch. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Blending Seed Topgrade Turf lawn seed mixture...Ch. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - 31. Blending Chemicals Natural Brand plant food is...Ch. 4.4 - Prob. 32ECh. 4.4 -
33. Calorie Expenditure Joe Vetere’s exercise...Ch. 4 - Suppose you plan to build a raised flower bed...Ch. 4 - For the list of standard paper roll widths given...Ch. 4 - Prob. 3EACh. 4 - For the computer solution of the cutting problem,...Ch. 4 - Prob. 5EACh. 4 - Prob. 6EACh. 4 - Suppose that of the original 33 cutting patterns,...Ch. 4 - Prob. 8EACh. 4 - Compare your two answers from Exercise 8 with each...Ch. 4 - Prob. 10EACh. 4 -
Determine whether each of the following...Ch. 4 - Prob. 2RECh. 4 -
Determine whether each of the following...Ch. 4 - Prob. 4RECh. 4 -
Determine whether each of the following...Ch. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Determine whether each of the following statements...Ch. 4 - Determine whether each of the following statements...Ch. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 -
Determine whether each of the following...Ch. 4 -
For each problem. (a) add slack variables or...Ch. 4 - For each problem, (a) add slack variables or...Ch. 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 - Use the simplex method to solve each maximization...Ch. 4 -
Use the simplex method to solve each maximization...Ch. 4 - Use the simplex method to solve each maximization...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 -
36. In Chapter 2 we wrote a system of It near...Ch. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RE
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
- Find the distance from the point (-9, -3, 0) to the line ä(t) = (−4, 1, −1)t + (0, 1, −3) .arrow_forward1 Find a vector parallel to the line defined by the parametric equations (x(t) = -2t y(t) == 1- 9t z(t) = -1-t Additionally, find a point on the line.arrow_forwardFind the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t) = 7t = 2-9t z(t) to the point (-1, 1, −3).arrow_forward
- Let ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3). Find the acute angle (in degrees) between the lines:arrow_forwardNo chatgpt pls will upvotearrow_forwardA tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?arrow_forward
- Draw a picture of a normal distribution with mean 70 and standard deviation 5.arrow_forwardWhat do you guess are the standard deviations of the two distributions in the previous example problem?arrow_forward1 What is the area of triangle ABC? 12 60° 60° A D B A 6√√3 square units B 18√3 square units 36√3 square units D 72√3 square unitsarrow_forward
- Each answer must be justified and all your work should appear. You will be marked on the quality of your explanations. You can discuss the problems with classmates, but you should write your solutions sepa- rately (meaning that you cannot copy the same solution from a joint blackboard, for exam- ple). Your work should be submitted on Moodle, before February 7 at 5 pm. 1. True or false: (a) if E is a subspace of V, then dim(E) + dim(E) = dim(V) (b) Let {i, n} be a basis of the vector space V, where v₁,..., Un are all eigen- vectors for both the matrix A and the matrix B. Then, any eigenvector of A is an eigenvector of B. Justify. 2. Apply Gram-Schmidt orthogonalization to the system of vectors {(1,2,-2), (1, −1, 4), (2, 1, 1)}. 3. Suppose P is the orthogonal projection onto a subspace E, and Q is the orthogonal projection onto the orthogonal complement E. (a) The combinations of projections P+Q and PQ correspond to well-known oper- ators. What are they? Justify your answer. (b) Show…arrow_forwardpleasd dont use chat gptarrow_forward1. True or false: (a) if E is a subspace of V, then dim(E) + dim(E+) = dim(V) (b) Let {i, n} be a basis of the vector space V, where vi,..., are all eigen- vectors for both the matrix A and the matrix B. Then, any eigenvector of A is an eigenvector of B. Justify. 2. Apply Gram-Schmidt orthogonalization to the system of vectors {(1, 2, -2), (1, −1, 4), (2, 1, 1)}. 3. Suppose P is the orthogonal projection onto a subspace E, and Q is the orthogonal projection onto the orthogonal complement E. (a) The combinations of projections P+Q and PQ correspond to well-known oper- ators. What are they? Justify your answer. (b) Show that P - Q is its own inverse. 4. Show that the Frobenius product on n x n-matrices, (A, B) = = Tr(B*A), is an inner product, where B* denotes the Hermitian adjoint of B. 5. Show that if A and B are two n x n-matrices for which {1,..., n} is a basis of eigen- vectors (for both A and B), then AB = BA. Remark: It is also true that if AB = BA, then there exists a common…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher: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
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
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
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY