An advertising company offer three types of mediums: television, newspaper and radio . The cost for each medium with its audiencecoverage is given below.TelevisionNewspaperRadioCost per advertisement ($)1500600300Audience per advertisement120,00045,00015,000The company is capable of using a number of newspaper advertisement slots up to 8. Moreover, in order to balance the advertising amongthe three types of media, the total number of advertisements on radio should not occur more than 39% of total number of advertisement. andat least 8% of the total number of advertisements should occur on television. The weekly advertising budget is $20700. How manyadvertisements should be run in each of the three types of media to maximize the total audience?If we assume the number of ads on each type of meduim as follows : T , N, R respectivelyGiven the following budget constrain:aT + bN + cR s 20700What is the value of b?Remember: The answer box can not accept any text

Here given decision variables -T = No. of Television adsN = No. of Newspaper adsR = No. of Radio…

Answered: An advertising company offer three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.4: Advertising Response And Selection Models

Problem 19P

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The advertising alternatives for a company include television, radio, and newspaperadvertisements. The costs and estimates for audience coverage are given in table below: The local newspaper limits the number of weekly advertisements from a single companyto ten. Moreover, to balance the advertising among the three types of media, no morethan half of the total number of advertisements should occur on the radio, and at least10% should occur on television. The weekly advertising budget is $18,200. How manyadvertisements should be run in each of the three types of media to maximize the totalaudience?
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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…
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Which force in Porter’s Five Forces Model is related to the technology that makes video conferencing possible and can eliminate the need for business travel?
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…
Marcus is a computer engineer who has recently developed an app which helps userskeep track of medical information, doctor’s appointments, and prescriptions.Information about the user is stored in this app, including what prescriptions they aretaking and how frequently they schedule doctor’s appointments. As the developers ofthe app, Marcus and his company have access to this information.The marketing department requests Marcus supply them with customer-specificinformation so they can better target ads and app suggestions to the users. Marcusunderstands that he is part of a company, but also feels that the privacy of the appusers should be protected. Additionally, Marcus feels that as an engineer, he should beresponsible to those who use his technology.Note that Marcus is not a healthcare provider, nor does he work for a medicalfacility. As you plan your answer, consider the current healthcare and legal climatesand concerns that may exist relating to individuals' healthcare choices. 1.…
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How many is too many? COLGATE is a market leader in the US, Latin America and in many European markets with its myriad of brands. Its laundry detergents alone include Fab, Sudsil, Hurricane, Ajax and Cold Power. Besides its many detergents, Colgate is better known for its toothpaste and sells over six brands (Colgate, Ultra Brite, Dentagard, Colodent, Crystal and Sensitive). In addition, Colgate sells five brands of hand soaps (Palmolive, Irish Spring, Softsoap, Protex and Glycerine); three brands of fabric softener (Sauvitel, Fluffy and Cuddly), three brands of dish-washing liquid (Palmolive, Ajax and Dermassage), two brands of deodorants (Speed Stick and Teen Spirit) and even sells the well-known brand of pet food under the Hill’s brand of pet foods. Moreover, many of its brands are offered in several sizes and formulations. For example, you can buy large or small packages of powdered or liquid Hurricane laundry detergent in a variety of forms – regular, unscented, colour safe or…
How many is too many? COLGATE is a market leader in the US, Latin America and in many European markets with its myriad of brands. Its laundry detergents alone include Fab, Sudsil, Hurricane, Ajax and Cold Power. Besides its many detergents, Colgate is better known for its toothpaste and sells over six brands (Colgate, Ultra Brite, Dentagard, Colodent, Crystal and Sensitive). In addition, Colgate sells five brands of hand soaps (Palmolive, Irish Spring, Softsoap, Protex and Glycerine); three brands of fabric softener (Sauvitel, Fluffy and Cuddly), three brands of dish-washing liquid (Palmolive, Ajax and Dermassage), two brands of deodorants (Speed Stick and Teen Spirit) and even sells the well-known brand of pet food under the Hill’s brand of pet foods. Moreover, many of its brands are offered in several sizes and formulations. For example, you can buy large or small packages of powdered or liquid Hurricane laundry detergent in a variety of forms – regular, unscented, colour safe or…
An 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:

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