Question: Project Activity Information Activity Immediate Predecessors Optimistic (weeks) Most Likely (weeks) Pessimistic (Weeks) A 3 4 5 B A 4 5 12 C 2 4

Project Activity Information

Activity

Immediate Predecessors

Optimistic (weeks)

Most Likely (weeks)

Pessimistic (Weeks)

A

3

4

5

B

A

4

5

12

C

2

4

6

D

C

3

4

5

E

B, D

1

2

3

F

E

2

4

6

G

B, D

6

7

14

H

G

6

8

10

I

F, H

3

4

5

Marketing Data from Ad Agency

Type of Advertisement

Exposure per Ad

Cost per Ad

TV ads 1-6

12,000

30,000

TV ads 7 and over

4,500

30,000

Radio ads 1-12

6,000

9,000

Radio ads 13 and over

3,600

9,000

Online ads 1-18

3,000

4,000

Online ads 19 and over

2,400

4,000

Game

1

2

3

4

5

6

7

8

Probability the Steelers Win

0.55

0.6

0.45

0.4

0.65

0.55

0.45

0.7

  1. The owner wants to maximize total exposure across all types of advertisements (TV, Radio, and Online). There is one important fact that must be accounted for: the more you advertise in a certain medium, the less effective they become. For instance, consider the television ad data above. The first 6 tv ads will each reach 12,000 people. Each subsequent tv ad will only reach 4,500 people. How many of each type of ad should be purchased? How many potential customers will be reached? What is the effect of increasing the advertising budget by 15%? You must document each step you take to solve the problem! The following guidelines must be followed when selecting the type of ads:
    1. The total advertising budget is $752,000
    2. The ads must reach at least 300,000 customers
    3. Radio ads must be more numerous than TV ads. Use at least twice as many radio as TV ads
    4. TV ads are limite Use no more 12 TV ads.
    5. The amount spent on TV ads should be at least $330,000
    6. The amount spent on radio ads should be less than $300,000
    7. The amount spent on online ads should be at least $90,000

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