Mathematical Applications for the Management, Life, and Social Sciences
11th Edition
ISBN: 9781305108042
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10.4, Problem 26E
Inventory cost model A company needs 450,000 items per year. Production costs are $500 to prepare for a production run and $10 for each item produced. Inventory costs are $2 per item per year. Find the number of items that should be produced in each run so that the total costs of production and storage are minimized.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The value of sin (2V · F) at x = 3, y = 3, z = −4, where F
-0.592
-0.724
0.661
-0.113
-0.822
-0.313
0.171
0.427
=
(-2x² + -4,2yz − x − 3, −5xz - 2yz), is
14
A survey is conducted to determine whether
would prefer to work at home, if given the
20 office employees of a certain company
chance. The overall results are shown in the
first bar graph, and the results broken down
by gender are presented in the second.
a. Interpret the results of each graph.
b. Discuss the added value in including gen-
der in the second bar graph. (The second
bar graph in this problem is called a side
by side bar graph and is often used to
show results broken down by two or more
variables.)
c. Compare the side by side bar graph with
the two pie charts that you made for
Question 6. Which of the two methods is
best for comparing two groups, in your
opinion?
A
Would you prefer to work at home? (n=20)
60
50
40
Percent
20
30
20
30
10
0
No
Yes
Prefer to work at home? (10 males, 10 females)
80
Percent
60
00
40
40
20-
No
Yes
No
Yes
Female
Male
The correct answer is C
Could you show me why
Chapter 10 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Ch. 10.1 - 1. The x- values of critical points are found...Ch. 10.1 - Prob. 2CPCh. 10.1 - Prob. 3CPCh. 10.1 - Prob. 4CPCh. 10.1 - In Problems 1 and 2, use the indicated points on...Ch. 10.1 - In Problems 1 and 2, use the indicated points on...Ch. 10.1 - 3. Use the graph of in Problem 1 to identify at...Ch. 10.1 - 4. Use the graph of in Problem 2 to identify at...Ch. 10.1 - In Problems 5 and 6, use the sign diagram for to...Ch. 10.1 - In Problems 5 and 6, use the sign diagram for to...
Ch. 10.1 - In Problems 7-10, (a) find the critical values of...Ch. 10.1 - In Problems 7-10, (a) find the critical values of...Ch. 10.1 - In Problems 7-10, (a) find the critical values of...Ch. 10.1 - In Problems 7-10, (a) find the critical values of...Ch. 10.1 - For each function and graph in Problems 11-14
(a)...Ch. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - For each function in Problems 15-20
(a) find
(b)...Ch. 10.1 - For each function in Problems 15-20
(a) find
(b)...Ch. 10.1 - For each function in Problems 15-20
(a) find
(b)...Ch. 10.1 - For each function in Problems 15-20
(a) find
(b)...Ch. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - For each function and graph in Problems 21-24
(a)...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - For each function in Problems 25-30, find the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - For each function in Problems 25-30, find the...Ch. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - In Problems 31-36, both a function and its...Ch. 10.1 - Prob. 35ECh. 10.1 - In Problems 31-36, both a function and its...Ch. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - Prob. 43ECh. 10.1 - Prob. 44ECh. 10.1 - Prob. 45ECh. 10.1 - In each of Problems 43-46, a graph of is given....Ch. 10.1 - Prob. 47ECh. 10.1 - Prob. 48ECh. 10.1 - 49. Advertising and sales Suppose that the daily...Ch. 10.1 - 50. Pricing and sales Suppose that a chain of auto...Ch. 10.1 - 51. Productivity A time study showed that, on...Ch. 10.1 - 52. Production Analysis of daily output of a...Ch. 10.1 - 53. Production costs Suppose that the average...Ch. 10.1 - 54. Average costs Suppose the average costs of a...Ch. 10.1 - 55. Marginal revenue Suppose the weekly marginal...Ch. 10.1 - 56. Earnings Suppose that the rate of change of...Ch. 10.1 - 57. Revenue The weekly revenue of a certain...Ch. 10.1 - 58. Medication Suppose that the concentration C of...Ch. 10.1 - Prob. 59ECh. 10.1 - 60. Medication The number of milligrams x of a...Ch. 10.1 - 61. Worldwide cell phone subscriberships In 2013,...Ch. 10.1 - 62. Economic dependency ratio The economic...Ch. 10.1 - Prob. 63ECh. 10.1 - 64. Modeling Energy from crude oil The table shows...Ch. 10.1 - Prob. 65ECh. 10.2 - 1. If then is concave__________.
Ch. 10.2 - 2. At what value of x does the graph have a point...Ch. 10.2 - 3. On the graph below, locate any points of...Ch. 10.2 - 4. Determine whether the following is true or...Ch. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - In Problems 5-10, use the indicated x-values on...Ch. 10.2 - In Problems 5-10, use the indicated x-values on...Ch. 10.2 - In Problems 5-10, use the indicated x-values on...Ch. 10.2 - In Problems 5-10, use the indicated x-values on...Ch. 10.2 - In Problems 5-10, use the indicated x-values on...Ch. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - In Problems 11-14, a function and its graph are...Ch. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Find the relative maxima, relative minima, and...Ch. 10.2 - Find the relative maxima, relative minima, and...Ch. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - In Problems 29 and 30, use the graph shown in the...Ch. 10.2 - In Problems 29 and 30, use the graph shown in the...Ch. 10.2 - In Problems 31 and 32, a graph is given. Tell...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - 37. Production Suppose that the total number of...Ch. 10.2 - 38. Poiscuille's law—velocity of blood According...Ch. 10.2 - 39. Advertising and sales—diminishing returns...Ch. 10.2 - 40. Oxygen purity—diminishing returns Suppose that...Ch. 10.2 - Prob. 39ECh. 10.3 - 1. True or false: If is the total revenue...Ch. 10.3 - Prob. 2CPCh. 10.3 - Prob. 3CPCh. 10.3 - Prob. 4CPCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - In Problems 1-6, find the absolute maxima and...Ch. 10.3 - 7. (a) If the total revenue function for a hammer...Ch. 10.3 - 8. (a) If the total revenue function for a blender...Ch. 10.3 - 9. If the total revenue function for a computer is...Ch. 10.3 - 10. A firm has total revenues given by
for x...Ch. 10.3 - 11. An agency charges $100 per person for a trip...Ch. 10.3 - 12. A company handles an apartment building with...Ch. 10.3 - 13. A cable TV company has 4000 customers paying...Ch. 10.3 - 14. If club members charge $5 admission to a...Ch. 10.3 - Prob. 13ECh. 10.3 - 16. For the revenue function given by
(a) find...Ch. 10.3 - 17. If the total cost function for a lamp is ...Ch. 10.3 - 18. If the total cost function for a product is ...Ch. 10.3 - 19. If the total cost function for a product is ...Ch. 10.3 - Prob. 18ECh. 10.3 - 21. If the total cost function for a product is ...Ch. 10.3 - 22. If the total cost function for a product is ...Ch. 10.3 - 23. For the cost function , show that average...Ch. 10.3 - 24. For the cost function , show that average...Ch. 10.3 - The graphs in Problems 25 and 26 show total cost...Ch. 10.3 - Prob. 24ECh. 10.3 - 27. If the profit function for a product is ...Ch. 10.3 - 28. If the profit function for a commodity is ...Ch. 10.3 - 29. A manufacturer estimates that its product can...Ch. 10.3 - 30. A product can be produced at a total cost ...Ch. 10.3 - 31. A firm can produce only 1000 units per month....Ch. 10.3 - 32. A firm can produce 100 units per week. If its...Ch. 10.3 - 33. A company handles an apartment building with...Ch. 10.3 - 34. A travel agency will plan a tour for groups of...Ch. 10.3 - 35. A firm has monthly average costs, in dollars,...Ch. 10.3 - 36. A small business has weekly average costs, in...Ch. 10.3 - 37. The weekly demand function for x units of a...Ch. 10.3 - 38. The monthly demand function for x units of a...Ch. 10.3 - 39. The monthly demand function for a product sold...Ch. 10.3 - 40. The monthly demand function for x units of a...Ch. 10.3 - 41. An industry with a monopoly on a product has...Ch. 10.3 - 42. A large corporation with monopolistic control...Ch. 10.3 - 43. Coastal Soda Sales has been granted exclusive...Ch. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.3 - Prob. 49ECh. 10.4 - Suppose we want to find the minimum value of and...Ch. 10.4 - Prob. 2CPCh. 10.4 - Prob. 3CPCh. 10.4 - 1. Return to sales The manufacturer of GRIPPER...Ch. 10.4 - 2. Projectiles A ball thrown into the air from a...Ch. 10.4 - 3. Profit The profit per acre from a grove of...Ch. 10.4 - 4. Reaction rates The velocity v of an...Ch. 10.4 - 5. Productivity Analysis of daily output of a...Ch. 10.4 - 6. Productivity A time study showed that, on...Ch. 10.4 - Prob. 7ECh. 10.4 - 8. Production costs Suppose that the monthly cost...Ch. 10.4 - Prob. 9ECh. 10.4 - Medication For Problems 9 and 10, consider that...Ch. 10.4 - 11. Advertising and sales An inferior product with...Ch. 10.4 - Prob. 12ECh. 10.4 - 13. News impact Suppose that the percent p (as a...Ch. 10.4 - 14. Candidate recognition Suppose that in an...Ch. 10.4 - 15. Minimum fence Two equal rectangular lots are...Ch. 10.4 - 16. Minimum fence The running yard for a dog...Ch. 10.4 - Minimum cost A rectangular field with one side...Ch. 10.4 - Prob. 18ECh. 10.4 - 19. Optimization at a fixed cost A rectangular...Ch. 10.4 - Minimum cost A kennel of 640 square feet is to be...Ch. 10.4 - Minimum cost The base of a rectangular box is to...Ch. 10.4 - Prob. 22ECh. 10.4 - 23. Inventory cost model Suppose that a company...Ch. 10.4 - Inventory cost model Suppose that a company needs...Ch. 10.4 - Inventory cost model A company needs 150,000 items...Ch. 10.4 - Inventory cost model A company needs 450,000 items...Ch. 10.4 - 27. Volume A rectangular box with a square base is...Ch. 10.4 - Prob. 28ECh. 10.4 - 29. Revenue The owner of an orange grove must...Ch. 10.4 - 30. Minimum material
(a) A box with an open top...Ch. 10.4 - 31. Minimum cost A printer has a contract to print...Ch. 10.4 - 32. Shortest time A vacationer on an island 8...Ch. 10.4 - Prob. 33ECh. 10.5 - Prob. 1CPCh. 10.5 - Prob. 2CPCh. 10.5 - In Problems 1-4, a function and its graph are...Ch. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - In Problems 19-24, a function and its first and...Ch. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - For each function in Problems 29-34, complete the...Ch. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - 37. Revenue A recently released film has its...Ch. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - 40. Profit An entrepreneur starts new companies...Ch. 10.5 - 41. Productivity The figure is a typical graph of...Ch. 10.5 - Prob. 42ECh. 10.5 - 43. Females in the workforce For selected years...Ch. 10 - In Problems 1-4, find all critical points and...Ch. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - 38. Productivity—diminishing returns Suppose the...Ch. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - 45. Reaction to a drug The reaction R to an...Ch. 10 - Prob. 46RECh. 10 - 47. Population Population estimates show that the...Ch. 10 - Prob. 48RECh. 10 - 49. Product design A playpen manufacturer wants to...Ch. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - 53. Inventory cost model A company needs to...Ch. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Prob. 5TCh. 10 - Prob. 6TCh. 10 - Prob. 7TCh. 10 - Prob. 8TCh. 10 - 9. Use the following graph of y = f(x) and the...Ch. 10 - Prob. 10TCh. 10 - Prob. 11TCh. 10 - Prob. 12TCh. 10 - 13. The revenue function for a product is dollars...Ch. 10 - Prob. 14TCh. 10 - 15. A firm sells 100 TVs per month at $300 each,...Ch. 10 - 16. An open-top box is made by cutting squares...Ch. 10 - Prob. 17T
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
- Frequency 12 Suppose that a random sample of 270 gradu- ating seniors are asked what their immediate priorities are, including whether buying a house is a priority. The results are shown in the following bar graph. a. The bar graph is misleading; explain why. b. Make a new bar graph that more fairly presents the results. Is Buying a House a Priority? 300 250 200 150 100 50 0 Yes No Undecidedarrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -4. Select all that apply: ☐ f(x) is not continuous at x = -4 because it is not defined at x = −4. ☐ f(x) is not continuous at x = -4 because lim f(x) does not exist. x-4 f(x) is not continuous at x = -4 because lim f(x) = f(−4). ☐ f(x) is continuous at x = -4. x-4 ين من طلب نہ 1 2 3 4 5 6 7arrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -1. -7-6-5 N HT Select all that apply: ☐ f(x) is not continuous at x = -1 because it is not defined at x = -1. ☐ f(x) is not continuous at -1 because lim f(x) does not exist. x-1 ☐ f(x) is not continuous at x = -1 because lim f(x) = f(−1). ☐ f(x) is continuous at x = -1. x-1 5 6 7arrow_forward
- Frequency 11 A polling organization wants to find out what voters think of Issue X. It chooses a random sample of voters and asks them for their opinions of Issue X: yes, no, or no opinion. I organize the results in the following bar graph. a. Make a frequency table of these results (including the total number). brocb. Evaluate the bar graph as to whether it biz s b fairly represents the results. of beau no STORE TO OW! vd wob spind 550 540 500 vd 480 420 360 300 250 240 Yes No Undecided Opinion on Issue Xarrow_forwardPercent 13 A car dealer specializing in minivan sales saibe conducts a survey to find out more about who its customers are. One of the variables at the company measures is gender; the results of this part of the survey are shown in the following bar graph. pow a. Interpret these results. b. Explain whether you think the bar graph is a fair and accurate representation of this data. 70 Gender of Customers 60 50 40 30 20 10 0 Males Femalesarrow_forwardUse the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the y-axis. y=x², y=7-6x, x = 0, for x≥0arrow_forward
- The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = −3. -7-6- -5- +1 23456 1 2 3 4 5 67 Select the correct answer below: ○ f(x) is not continuous at x = f(x) is not continuous at x = f(x) is not continuous at x = f(x) is continuous at x = -3 -3 because f(-3) is not defined. -3 because lim f(x) does not exist. 2-3 -3 because lim f(x) = f(−3). 2-3arrow_forwardThree cat- ency bar 10 Suppose that a health club asks 30 customers ad to rate the services as very good (1), good (2), fair (3), or poor (4). You can see the results in the following bar graph. What percentage of the customers rated the services as good? n; 2: pinion). of this to make a eople in ng ban?) Health Club Customer Ratings (1-very good,..., 4-poor) Frequency 10 8 00 6 11 A polling orga what voters t random samp for their opin no opinion. following ba a. Make a (includ bob. Evalua fairly tral 2 0 1 -2 3 4 540 480 420 360 300 240 Frequencyarrow_forwardCould you explain how this was solved, I don’t understand the explanation before the use of the shift property As well as the simplification afterwardsarrow_forward
- Question The function f(x) is shown in the graph below. Which of the following statements are true? Select all that apply. f(x) 12 10 -16 -14 -12 -10 -8 + -4 " 10 12 14 16 a Select all that apply: ☐ Condition 1 is satisfied. ☐ Condition 2 is satisfied. ☐ Condition 3 is satisfied. ☐ f(x) is continuous.arrow_forwardTwo planes are flying at the same altitude. One airplane is 60 miles due north of the control tower.Another airplane is located 70 miles from the tower at a heading of 80° east of south. To thenearest tenth of a mile, how far apart are the two airplanes?arrow_forwardSolve it correctly and in Frencharrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
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
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