Finite Mathematics and Calculus with Applications
1st Edition
ISBN: 9781323188361
Author: Margaret Lial
Publisher: Pearson Education
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 4.2, Problem 22E
To determine
To explain: Why the objective function made larger as long as there are negative numbers in the bottom row of the simplex tableau.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The photocopier owner charges 7 (cents) for the first 100 copies and 4 (cents) for each copy over 100. In addition, there is a setup fee of $ 2.5 per photocopy job. As is evident in the following equations: The revenue of stripper from selling and copying is 10.07x + 2.5 for 0 100 10.04x + 5.5 for. If it costs the owner 3 cents per copy, write Matlab that determines the maximum profit per week following the following steps: Write the getData () function that requires the user to enter sales for each day of the week. Writes the () Revenue function that accepts sales data and then returns a vector that keeps the revenues calculated for each day separately. Type main script to do the following: Call the getData () function to get store sales data from the user Call the Revenue () function to find revenue for each day of the week. Call the Profit () function to find out the profit from selling every day of the week. Calculate and print for maximum profit per week. Where profit =…
Can I have the illustration and presentation of variables in this problem. Thank you
Liz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of letter writing and 1 hour of
follow-up, while each neighborhood group needs 2 hours of letter writing and 3 hours of follow-up. Liz can raise $100 from each church group and
$250 from each neighborhood group, and she has a maximum of 16 hours of letter-writing time and a maximum of 12 hours of follow-up time
available per month. Use the simplex method to complete parts (a) and (b).
... ..
(a) Determine the most profitable mixture of groups Liz should contact and the most money she can raise in a month.
Set up the linear programming problem. Let x1 and x2 represent the numbers of church groups and neighborhood groups, respectively, and let z
be the total amount of
money raised.
Maximize
z= 100x1 +250x2
subject to
2x1 + 2x2 s
16
X1 + 3x2 s
X1 20, x2 2 0.
(Do not factor. Do not include the $ symbol in your answers.)
Liz can raise at most $
in a month. To raise that amount,…
Chapter 4 Solutions
Finite Mathematics and Calculus with Applications
Ch. 4.1 - Prob. 1YTCh. 4.1 - Prob. 2YTCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - For Exercises 58, (a) determine the number of...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8E
Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Pivot once as indicated in each simplex tableau....Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 31ECh. 4.2 - Use the simplex method to solve the problem in...Ch. 4.2 - Pivot on the 4 in Example 2 and write the...Ch. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 4WECh. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - The simplex algorithm still works if an indicator...Ch. 4.2 - What goes wrong if a quotient other than the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 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 - Set up and solve Exercises 2329 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 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Profit A manufacturer makes two products, toy...Ch. 4.2 - Profit The Ball Company manufactures three types...Ch. 4.2 - Profit The Golden Hawk Manufacturing Company wants...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 36ECh. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 40ECh. 4.3 - Prob. 1YTCh. 4.3 - Prob. 2YTCh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Use the simplex method to solve. 10. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 11. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 12....Ch. 4.3 - Prob. 13ECh. 4.3 - Use the simplex method to solve. 14....Ch. 4.3 - Use the simplex method to solve. 15....Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Suppose the coefficient of 3 in the objective...Ch. 4.3 - Business and Economics 19. Production Costs A...Ch. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - In most examples of this section, the original...Ch. 4.3 - Prob. 23ECh. 4.3 - Business and Economics 24. Animal Food An animal...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.4 - Prob. 1YTCh. 4.4 - Finish the missing steps in Example 2 and show the...Ch. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Use the simplex method to solve. 9. Find x1 0 and...Ch. 4.4 - Prob. 10ECh. 4.4 - Use the simplex method to solve. 11. Find x1 0,...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Solve using artificial variables. 17.Ch. 4.4 - Prob. 18ECh. 4.4 - Solve using artificial variables. 19.Ch. 4.4 - Solve using artificial variables. 20.Ch. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Transportation Change Exercise 23 so that the two...Ch. 4.4 - Transportation The manufacturer of a popular...Ch. 4.4 - Investments Deb Harden has decided to invest a...Ch. 4.4 - Finance A bank has set aside a maximum of 25...Ch. 4.4 - Blending Seed Topgrade Turf lawn seed mixture...Ch. 4.4 - Blending Seed Change Exercise 28 so that the...Ch. 4.4 - Prob. 30ECh. 4.4 - Blending Chemicals Natural Brand plant food is...Ch. 4.4 - Prob. 32ECh. 4.4 - Calorie Expenditure Joe Veteres exercise regimen...Ch. 4 - CONCEPT CHECK Determine whether each of the...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 - Prob. 12RECh. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 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 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Use the simplex method to solve each problem. (You...Ch. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - In solving a linear programming problem, you are...Ch. 4 - In Chapter 2 we wrote a system of linear equations...Ch. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - APPLICATIONS For Exercises 3740, (a) select...Ch. 4 - Solve Exercise 37. Business and Economics 37....Ch. 4 - Solve Exercise 38. Business and Economics 38....Ch. 4 - Solve Exercise 39. 39. Profit The Aged Wood Winery...Ch. 4 - Solve Exercise 40. 40. Production Costs Cauchy...Ch. 4 - Canning Cauchy Canners produces canned corn,...Ch. 4 - Food Cost A store sells two brands of snacks. A...Ch. 4 - Calorie Expenditure Gingers exercise regimen...
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
- Liz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of letter writing and 1 hour of follow-up, while each neighborhood group needs 2 hours of letter writing and 3 hours of follow-up. Liz can raise $100 from each church group and $250 from each neighborhood group, and she has a maximum of 16 hours of letter-writing time and a maximum of 12 hours of follow-up time available per month. Use the simplex method to complete parts (a) and (b). (a) Determine the most profitable mixture of groups Liz should contact and the most money she can raise in a month. Set up the linear programming problem. Let x, and x, represent the numbers of church groups and neighborhood groups, respectively, and let z be the total amount of money raised. Maximize z= 100x1 +250x2 subject to 2x1 + 2x2 s 16 X1 + 3x2 s 12 X1 20, х2 20. (Do not factor. Do not include the $ symbol in your answers.) Liz can raise at most $ 1100 in a month. To raise that amount,…arrow_forwardA rectangular storage container with an open top is to have a volume of 10m3. The length of its base is twice the width. Material for the base costs $10 per square meter. Materials for the sides costs $6 per square meter. (a) Draw a picture and introduce variables (b) Find the costs of materials for the cheapest such containerarrow_forwardAsaparrow_forward
- Postal regulations specify that a parcel sent by priority mail may have a combined height and girth (i.e. perimeter of the base) of no more than 36 inches. Find the dimensions of a rectangular package that has a square base and the largest volume that may be sent via priority mail. You are given the objective equation and constraint equation needed here.arrow_forwardPlease show me step-by-step solutions. Thank you!arrow_forwardLiz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of letter writing and 1 hour of follow-up, while each neighborhood group needs 2 hours of letter writing and 3 hours of follow-up. Liz can raise $100 from each church and $175 from each neighborhood group, and she has a maximum of 16 hours of letter-writing time and a maximum of 12 hours of follow-up time available per month. Use the simplex method to complete parts (a) and (b). group (a) Determine the most profitable mixture of groups Liz should contact and the most money she can raise in a month. Set up the linear programming problem. Let x and x2 represent the numbers of church groups and neighborhood groups, respectively, and let z be the total amount of money raised. subject to 2x1 +2x2 X1 + 3x2 X1 20, x2 20. (Do not factor. Do not include the $ symbol in your answers.)arrow_forward
- Please solve for c and d without programming.arrow_forward2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also knows that for every $1 increase in price, 10 fewer tickets will be sold (see equation). Revenue = (price per ticket)(number of tickets sold) R(x)= (30+ x) (500 - 10x) R, represents Revenue from ticket sales, x represents number of $1 price increases (Hint: complete the square) Use the equation of the function above modelling revenue from ticket sales to determine the following: a) Ticket price that will maximize revenue b) The maximum revenuearrow_forwardFor a certain company, the cost for producing items is 50x + 300 and the revenue for selling a items is 90x -0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of a that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x - 1). The order of the list does not matter. To enter √a, type sqrt(a). x = Part c: Is it possible for the company to make a profit of $15,000?arrow_forward
- Manufacturing. Bright Ideas is planning to make a new kind of lamp. Fixed costs are $90,000, and variable costs are $25 per lamp. The total-cost function for x lamps is C1x2 = 90,000 + 25x. The company makes $48 in revenue for each lamp sold. The total-revenue function for x lamps is R1x2 = 48x. a) When R1x2 6 C1x2, the company loses money. Find the values of x for which the company loses money. 5x x 6 3913 1 236, or 5x x … 39136 b) When R1x2 7 C1x2, the company makes a profit. Find the values of x for which the company makes a profit.arrow_forwardA cereal company wants to change the shape of its cereal box in order to attract the attention of shoppers. The original cereal box has dimensions of 8 inches x 3 inches x new box the cereal company is thinking of would have dimensions of x 3 inches. 11 inches. The 10 inches x 10 inches A. Which box holds more cereal? Show your work and explain your solution.arrow_forwardHow would I solve a, b, c, and d and find their domains?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
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