A food products company is contemplating the introduction of a revolutionary new product with new packaging to replace the existing product at much higher price (Si) or a moderate change in the composition of the existing product with a new packaging at a small increase in price (S2) or a small change in the composition of the existing except the word 'New with a negligible increase in price (S3). The three possible states of nature of events are () high increase in sales (N1), (i) no change in sales (N2) and (iii) decrease in sales (N3). The marketing department of the company worked out the payoffs in terms of yearly net profits for each of the strategies for these events (expected sales). This is represented in the following table: State of nature Payoffs Strategies N2 N3 S, 7,00,000 3,00,000 1,50,000 S2 5,00,000 4,50,000 S3 3,00,000 3,00,000 3,00,000 Which strategy should the executive concerned choose on the basis of (a) Maximin Criterion. (b) Maximax Criterion. (c) Minimax Regret Criterion. (d) Laplace Criterion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A food products company is contemplating the introduction of a revolutionary
new product with new packaging to replace the existing product at much higher price (S1)
or a moderate change in the composition of the existing product with a new packaging at a
small increase in price (S2) or a small change in the composition of the existing except the
word 'New'. with a negligible increase in price (S3). The three possible states of nature of
events are (1) high increase in sales (N1), (i) no change in sales (N2) and (iii) decrease in
sales (N3). The marketing department of the company worked out the payoffs in terms of
yearly net profits for each of the strategies for these events (expected sales). This is
represented in the following table:
State of nature
Payoifs
Strategies
N2
N3
S,
7,00,000
3,00,000
1,50,000
S2
5,00,000
4,50,000
S3
3,00,000
3,00,000
3,00,000
Which strategy should the executive concerned choose on the basis of
(a) Maximin Criterion.
(b) Maximax Criterion.
(c) Minimax Regret Criterion.
(d) Laplace Criterion.
Transcribed Image Text:A food products company is contemplating the introduction of a revolutionary new product with new packaging to replace the existing product at much higher price (S1) or a moderate change in the composition of the existing product with a new packaging at a small increase in price (S2) or a small change in the composition of the existing except the word 'New'. with a negligible increase in price (S3). The three possible states of nature of events are (1) high increase in sales (N1), (i) no change in sales (N2) and (iii) decrease in sales (N3). The marketing department of the company worked out the payoffs in terms of yearly net profits for each of the strategies for these events (expected sales). This is represented in the following table: State of nature Payoifs Strategies N2 N3 S, 7,00,000 3,00,000 1,50,000 S2 5,00,000 4,50,000 S3 3,00,000 3,00,000 3,00,000 Which strategy should the executive concerned choose on the basis of (a) Maximin Criterion. (b) Maximax Criterion. (c) Minimax Regret Criterion. (d) Laplace Criterion.
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