Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7.4, Problem 16P
Summary Introduction
To identify: If the solver finds the same solution.
Non-linear programming (NLP):
Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please do not give solution in image formate thanku.
7-16 A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
I need help with everything, please. Formulate the problem and submit formulation - no need to solve.
1. An investment advisor at Shore Financial Services wants to develop a model that can be used to allocate investment funds among four alternatives: stocks, bonds, mutual funds, and cash. For the coming investment period, the company developed estimates of the annual rate of return and the associated risk for each alternative. Risk is measured using an index between 0 and 1, with higher risk values denoting more volatility and thus more uncertainty.
Because cash is held in a money market fund, the annual return is lower, but it carries essentially no risk. The objective is to determine the portion of funds allocated to each investment alternative in order to maximize the total annual return for the portfolio subject to the risk level the client is willing to tolerate.
Total risk is the sum of the risk for all investment alternatives. For instance, if 40% of a client’s funds are…
The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $1000 between digital advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media, and that the amount of money spent on digital advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for digital advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget in order to maximize the value of total audience exposure?
Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure.
Solve the problem using…
Chapter 7 Solutions
Practical Management Science
Ch. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Pricing Decisions at Madison The Madison Company...Ch. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10P
Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - PRICING SUITS AT SULLIVANS Sullivans is a retailer...Ch. 7.3 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Prob. 17PCh. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - Prob. 27PCh. 7.6 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - Prob. 32PCh. 7.6 - Prob. 33PCh. 7.6 - The method for rating teams in Example 7.8 is...Ch. 7.7 - Prob. 35PCh. 7.7 - Prob. 36PCh. 7.7 - Prob. 37PCh. 7.7 - The stocks in Example 7.9 are all positively...Ch. 7.7 - Prob. 39PCh. 7.7 - Prob. 40PCh. 7.7 - Prob. 41PCh. 7.7 - Prob. 42PCh. 7.8 - Given the data in the file Stock Beta.xlsx,...Ch. 7.8 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Another way to derive a demand function is to...Ch. 7 - Prob. 48PCh. 7 - If a monopolist produces q units, she can charge...Ch. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - A beer company has divided Bloomington into two...Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - You have 50,000 to invest in three stocks. Let Ri...Ch. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Based on Grossman and Hart (1983). A salesperson...Ch. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 1.1CCh. 7 - Prob. 1.2CCh. 7 - Prob. 1.3CCh. 7 - Prob. 1.4C
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- The manager of a restaurant chain in Izmir is trying to decide on the types and amounts of advertising they should use. He has invited officers from the local radio, television stations, and newspaper to describe their audiences. The television station officer says that a TV commercial, which costs 30,000 TL, would reach 50,000 potential customers. The distribution of the audience is as follows: Male Female Elder 10000 10000 Young 10000 20000 The newspaper officer claims to be able to provide an audience of 20,000 potential customers at a cost of 8,000 TL per ad. The distribution of the audience is as follows: Male Female Elder 8000 6000 Young 4000 2000 The radio station officer says that the audience for one of the station’s commercials, which costs 12,000 TL, is 30,000 potential customers. The distribution of the audience is as follows: Male Female Elder 3000 3000 Young 9000 15000 The…arrow_forwardYou want to take out a 450,000 loan on a 20-year mortgage with end-of-month payments. The annual rate of interest is 3%. Twenty years from now, you will need to make a 50,000 ending balloon payment. Because you expect your income to increase, you want to structure the loan so at the beginning of each year, your monthly payments increase by 2%. a. Determine the amount of each years monthly payment. You should use a lookup table to look up each years monthly payment and to look up the year based on the month (e.g., month 13 is year 2, etc.). b. Suppose payment each month is to be the same, and there is no balloon payment. Show that the monthly payment you can calculate from your spreadsheet matches the value given by the Excel PMT function PMT(0.03/12,240, 450000,0,0).arrow_forwardMacBurger has just opened a fast-food restaurant inBloomington. Currently, i0 customers frequent MacBurger(we call these loyal customers), and N i0 customers frequentother fast-food establishments (we call these nonloyalcustomers). At the beginning of each month, MacBurger mustdecide how much money to spend on advertising. At the endof a month in which MacBurger spends d dollars onadvertising, a fraction p(d) of the loyal customers becomenonloyal customers, and a fraction q(d) of the nonloyalcustomers become loyal customers. During the next 12months, MacBurger wants to spend D dollars on advertising.Develop a dynamic programming recursion that will enableMacBurger to maximize the number of loyal customers thecompany will have at the end of month 12. (Ignore thepossibility of a fractional number of loyal customers.)arrow_forward
- Which of the following statement is not true? A. We can get the optimal solution for IP by rounding the optimal solution for LP. B. IP is an extension of LP in which some or all of the decision variables are constrained to be an integer. C. There are three types of IP. They are Pure IP, Mixed IP, and Binary IP. D. The binary variable takes on values of 0 or 1.arrow_forwardAn ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below. Medium Cost per Ad # Reached Exposure Quality TV 500 10,000 30 Radio 200 3000 40 Newspaper 400 5000 25 Let T = number of TV ads; R = number of radio ads; and N = number of newspaper ads. The objective function that will produce the least total cost is:arrow_forwardBelow is an excerpt from the article: Bennett, R. (2005). Factors associated with student plagiarism in a post-1992 university. Assessment & Evaluation in Higher Education, 30, 137-162.“There is a need for university staff to address forcefully the issue of academic integrity during introductory programs and to explain clearly and sympathetically the objective need for honesty in academic life” (p. 156).Which of the following examples correctly paraphrases the above passage without plagiarizing? Select one: a. During orientations, university staff should be very clear about the importance of academic integrity (Bennett, 2005). b. There is a need for colleges to forcefully address the issue of academic integrity during beginning programs and to explain clearly and sympathetically the objective need for integrity in college life (Bennett, 2005). c. There is a need for university staff to address forcefully the issue of academic integrity during introductory programs and to explain…arrow_forward
- 3-An e-commerce firm selling mobile phone accessories decides to invest in advertising to boost the sales. The firm is expected to sell $25 million worth of the product. It is estimated that a 1 % increase in the advertising budget would increase quantity sold by 6 %. Moreover, it is also estimated that a 1 % increase in the product's price would reduce quantity sold by 0.3 %. Derive the Dorfman-Steiner condition. Calculate the optimal advertising budget for this firm.arrow_forwardCan a decision problem have more than one dependent variable? Can a model have more than one dependent variable? What is the difference between a spreadsheet model and a computer model? If you were presented with several different models (descriptive model, predictive model and prescriptive model) of a given decision problem, which would you be most inclined to use? Why?arrow_forwardLINGO SOFTWARE Consider a production-mix problem where we are concerned with what mix of four products we should produce during the upcoming week. For each product, each unit produced requires a known amount of production time on each of the three machines. Each machine has a certain number of hours of production time available per week. Each product provides a certain profit per unit produced. Figure 3S1.2 shows three types of data: machine-related data, product-related data, and data related to combinations of a machine and product. The objective is to determine how much to produce for each product so that total profit is maximized while not exceeding the limited production capacity of each machine. Requirement: Solve this problem in LINGO software.arrow_forward
- For a maximization problem, the pessimistic approach is often referred to as the A. minimax approach B. maximin approach C. maximax approach D. minimin approacharrow_forwardWhich of the following statements is not true? Group of answer choices An transshipment problem is a special case of a transportation problem in which all supplies and all demands are equal to 1. Transshipment problems can also be solved by general purpose linear programming codes. Transshipment problems are transportation problems in which a shipment may move through intermediate nodes before reaching a particular destination node. Transshipment problems can be converted to larger transportation problems and solved by a special transportation program.arrow_forwardIs my solution correct and did I fully answer the questions? (see attachment for my solution) Question: There are three factories on Momiss River. Each emits two types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1,500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $2,500 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $3,000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.50 ton. The state wants to reduce the amount of P1 in the river by at least 125 tons and the amount of P2 by at least 175 tons. a. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts. Are the LP assumptions…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,