IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE TTHERE TO HELP YOU..ALL THE BEST..
AS FOR GIVEN DATA.
Question 2:
Let the number of TV advertisements be x1
Let the number of Newspaper be x2
Let the number of Radio be x3
Maximize, Z = 100000*x1 + 40000*x2 + 18000*x3 (Audience advert)
Constraints:
x2 <= 10 (The number of newspaper adverts cannot be more than 10)
x3 <= 0.5(x1 + x2 + x3) [the total number of advertisements on radio should not be more than 50% of all advertisements]
x1 >= 0.1(x1 + x2 + x3) [the total number of TV advertisements must be atleast 10% of all of them]
2000x1 + 600x2 + 300x3 <= 18200 [budget for advertisement is equal to 18200]
Solving the equation using simplex tableau method
Tableau #1
x1 x2 x3 s1 s2 s3 s4 z
0 1 0 1 0 0 0 0 10
-0.5 -0.5 0.5 0 1 0 0 0 0
0.9 -0.1 -0.1 0 0 -1 0 0 0
2000 600 300 0 0 0 1 0 18200
-100000 -40000 -18000 0 0 0 0 1 0
Tableau #2
x1 x2 x3 s1 s2 s3 s4 z
0 1 0 1 0 0 0 0 10
-0.5 -0.5 0.5 0 1 0 0 0 0
-0.9 0.1 0.1 0 0 1 0 0 0
2000 600 300 0 0 0 1 0 18200
-100000 -40000 -18000 0 0 0 0 1 0
Tableau #3
x1 x2 x3 s1 s2 s3 s4 z
0 1 0 1 0 0 0 0 10
0 -0.35 0.575 0 1 0 0.00025 0 4.55
0 0.37 0.235 0 0 1 0.00045 0 8.19
1 0.3 0.15 0 0 0 0.0005 0 9.1
0 -10000 -3000 0 0 0 50 1 910000
Tableau #4
x1 x2 x3 s1 s2 s3 s4 z
0 1 0 1 0 0 0 0 10
0 0 0.575 0.35 1 0 0.00025 0 8.05
0 0 0.235 -0.37 0 1 0.00045 0 4.49
1 0 0.15 -0.3 0 0 0.0005 0 6.1
0 0 -3000 10000 0 0 50 1 1010000
Tableau #5
x1 x2 x3 s1 s2 s3 s4 z
0 1 0 1 0 0 0 0 10
0 0 1 0.608696 1.73913 0 0.000434783 0 14
0 0 0 -0.513043 -0.408696 1 0.000347826 0 1.2
1 0 0 -0.391304 -0.26087 0 0.000434783 0 4
0 0 0 11826.1 5217.39 0 51.3043 1 1052000
Question 3:
The solution to Q2 is optimal, since it is taking into consideration all the constraints and the maxima function toe evaluate
Question 4:
We need to run 4 TV advertisements, 10 newspaper and 12 radio advertisements to maximize the total audience
Total audience will be 1052000
I HOPE YOU UNDERSTAND..
PLS RATE THUMBS UP..ITS HELPS ME ALOT..
THANK YOU...!!
The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The costs and est...
The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio Cost per advert 2,000 Audience per advert 100, 000 6600 300 40, 000 18, 000 The local newspaper to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10%...
The advertising alternatives tor a company include television, radio, and newspaper ad- vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio 2,000 Cost per advert Audience per advert 600 300 100, 000 40, 000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements...
The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio 600 300 2,000 Cost per advert Audience per advert 100, 000 40,000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should...
Part II (50 marks) ad- The advertising alternatives for a company include television, radio, and newspaper vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio Cost per advert 2,000 600 300 Audience per advert 100,000 40,000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number...
Part II (50 marks) The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The costs and estimates for audience coverage are given in table below Television Newspaper Radio 300 600 Cost per advert 2,000 Audience per advert 100, 000 40,000 18,000 l newspaper limits the number of weekly advertisements from a single company nce the advertising amon The loca to ten. Moreover, in order no more than half of the total number of advertisements should occur...
s, and maximum media usage limitations are as shown: Constraints Television Radio Online Audience per advert 1000,000 18000 40,000 Cost per Advert $2000 $300 $600 Maximum media usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. If the promotional budget is limited to $18,200, how many commercial messages...
3. A company is considering three forms of advertising: television, radio, and newspaper. Each television spot costs $3000 and reaches 1000 new potential customers; each radio spot costs $800 and reaches 500 new potential customers; and each newspaper ad costs $250 and reaches 200 new potential customers. The company has three goals- • Spend no more than $25000 on advertising. • Reach at least 30,000 new potential customers. • Run at least 10 television spots. Show that if the goals...
The Westchester 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 newspaper. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Newspaper Audience per advertisement 130000 16500 30000 Cost per advertisement $2350 $375 $450 Maximum media usage 11 8 15 To ensure a balanced use of advertising media, radio advertisements must not exceed 45% of the total number...
The Westchester 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 newspaper. Audience estimates, costs, and maximum media usage limitations are as shown. Constraint Television Radio Newspaper Audience Per Advertisement 100,000 18,000 40,000 Cost Per Advertisement $2,000 $300 $600 Maximum Media Usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number...
The Westchester 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 newspaper. Audience estimates, costs, and maximum media usage limitations are as shown: Television Newspaper Radio Constraint Audience per advertisement 100000 18000 20000 $300 Cost per advertisement $2000 $600 Maximum media usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% the total number of...