The research department of Unilever Ltd has recommended to the marketing department to launch a shampoo of three different types. The marketing manager has to decide one of the types of shampoo to be launched under the following estimated pay offs for various levels of sales:   Estimated levels of sales 15,000 10,000 5,000 1.  Egg shampoo 2.  Clinic shampoo 3.  Deluxe shampoo 3000 1000 1000 3000 3000 250 1000 1000 1000             What will be the marketing manager’s decision if i. Maximum criterion is applied? ii. Minimax criterion is applied? iii. Maximax criterion is applied? iv. Laplace criterion is used? v. Hurwicz criterion is used? Use α = 0.75

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 83P
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The research department of Unilever Ltd has recommended to the marketing department to launch a shampoo of three different types. The marketing manager has to decide one of the types of shampoo to be launched under the following estimated pay offs for various levels of sales:

 

Estimated levels of sales

15,000

10,000

5,000

1.  Egg shampoo

2.  Clinic shampoo

3.  Deluxe shampoo

3000

1000

1000

3000

3000

250

1000

1000

1000

           

What will be the marketing manager’s decision if

i. Maximum criterion is applied?

ii. Minimax criterion is applied?

iii. Maximax criterion is applied?

iv. Laplace criterion is used?

v. Hurwicz criterion is used? Use α = 0.75

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The research department of Unilever Ltd has recommended to the marketing department
to launch a shampoo of three different types. The marketing manager has to decide one of
the types of shampoo to be launched under the following estimated pay offs for various
levels of sales:
Estimated levels of sales
15, 000 10,000 5, 000
1. Egg shampoo
2. Clinic shampoo
3. Deluxe shampoo
30
40
55
10
15
20
10
5
3
What will be the marketing manager’s decision if
iv. Laplace criterion is used?
v. Regret criterion is used?

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