Check My Work Problem 11-9 The Chamber of Commerce periodically sponsors public
ID: 3362436 • Letter: C
Question
Check My Work
Problem 11-9
The Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown:
To ensure a balanced use of advertising media, radio advertisements must not exceed 40% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized.
eBookProblem 11-9
The Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown:
Constraint Television Radio Online Audience per advertisement 110,000 17,000 30,000 Cost per advertisement $2,500 $300 $500 Maximum media usage 10 23 10To ensure a balanced use of advertising media, radio advertisements must not exceed 40% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized.
(a) If the promotional budget is limited to $20,500, how many commercial messages should be run on each medium to maximize total audience contact?Advertisement Alternatives No of commercial
messages Television Radio Online What is the allocation of the budget among the three media? Advertisement Alternatives Budget ($) Television $ Radio $ Online $ What is the total audience reached? (b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? Increase in audience coverage of approximately
Explanation / Answer
Ans:
Maximize z=110000T+17000R+30000O
2500T+300R+500O<=20500
T<=10
R<=23
O<=10
R<=0.4(T+R+O)
-0.4T+0.6R-0.4O<=0
T>=0.1(T+R+O)
0.9T-0.1R-0.1O>=0
a)
total audience reached=1020000
b)Now,this constraint will change to
2500T+300R+500O<=20600
Audiance reached=1024494
Increase in audiance reached=1204494-1020000=4494
Advertisement Alternatives No of commercial
messages Television 5 Radio 10 Online 10