Problem 4-01 (Algorithmic) The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional...

80.2K

Verified Solution

Question

Finance

Problem 4-01 (Algorithmic)
The Westchester Chamber of Commerce periodically sponsors publicservice seminars and programs. Currently, promotional plans areunder way for this year’s program. Advertising alternatives includetelevision, radio, and newspaper. Audience estimates, costs, andmaximum media usage limitations are as shown:
Constraint Television Radio Newspaper
Audience per advertisement 100000 18000 20000
Cost per advertisement $2000 $300 $600
Maximum media usage 10 20 10
To ensure a balanced use of advertising media, radioadvertisements must not exceed 50% of the total number ofadvertisements authorized. In addition, television should accountfor at least 10% of the total number of advertisementsauthorized.
If the promotional budget is limited to $31,100, how manycommercial messages should be run on each medium to maximize totalaudience contact? What is the allocation of the budget among thethree media? If required, round your answers to the nearestdollar.
Let T = number of television spot advertisements
R = number of radio advertisements
N = number of newspaper advertisements
Budget ($)
T =
R =
N =
Total Budget = _$

What is the total audience reached? Round your answer to thenearest whole number.

By how much would audience contact increase if an extra $100were allocated to the promotional budget? Round your answer to thenearest whole number.
_____

Constraint	Television	Radio	Newspaper
Audience per advertisement	100000	18000	20000
Cost per advertisement	$2000	$300	$600
Maximum media usage	10	20	10

	Budget ($)
T =
R =
N =
	Total Budget = _____$

Answer & Explanation Solved by verified expert

3.6 Ratings (437 Votes)

Let the number of television ads be x See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member

Transcribed Image Text

Problem 4-01 (Algorithmic)The Westchester Chamber of Commerce periodically sponsors publicservice seminars and programs. Currently, promotional plans areunder way for this year’s program. Advertising alternatives includetelevision, radio, and newspaper. Audience estimates, costs, andmaximum media usage limitations are as shown:ConstraintTelevisionRadioNewspaperAudience per advertisement1000001800020000Cost per advertisement$2000$300$600Maximum media usage102010To ensure a balanced use of advertising media, radioadvertisements must not exceed 50% of the total number ofadvertisements authorized. In addition, television should accountfor at least 10% of the total number of advertisementsauthorized.If the promotional budget is limited to $31,100, how manycommercial messages should be run on each medium to maximize totalaudience contact? What is the allocation of the budget among thethree media? If required, round your answers to the nearestdollar.LetT = number of television spot advertisementsR = number of radio advertisementsN = number of newspaper advertisementsBudget ($)T =R =N =Total Budget = _____$ What is the total audience reached? Round your answer to thenearest whole number.________________By how much would audience contact increase if an extra $100were allocated to the promotional budget? Round your answer to thenearest whole number._________________

Let	T = number of television spot advertisements
	R = number of radio advertisements
	N = number of newspaper advertisements