The following solved problems refer to this payoff table: New Bridge Built No New Bridge Alternative capacity A 14 for new store 10 4 6. where A = small, B = medium, and C = Assume the payoffs represent profits. Determine the alternative that would be chosen under each of these decision criteria: a. Maximin b. Махimax c. Laplace Laplace (average) New No New Maximin Maximax Bridge Bridge (worst) (best) A 14 1 14 [best] 15+2 7.5 (best) 10 10 12 +2 = 6 6. 4 [best] 6. 10 +2 =5 Thus, the alternatives chosen would be C under maximin, A under maximax, and A under Laplace. Using graphical sensitivity analysis, determine the probability for no new bridge for which each alternative would be optimal.

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Author:Amos Gilat
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SOLVED PROBLEMS
The following solved problems refer to this payoff table:
New
No
New
Bridge
Built
Bridge
Alternative capacity
for new store
14
10
4.
6.
where A = small, B = medium, and C = large.
Assume the payoffs represent profits. Determine the alternative that would be chosen under each of Problem 1
these decision criteria:
eXcel
a. Maximin
mhhe.com/stevensont3e
b. Мaximax
c. Laplace
Solution
Laplace
(average)
New
No New
Maximin
Maximax
Bridge
Bridge
(worst)
(best)
1
14
1
14 (best]
15 + 2 = 7.5 (best]
10
10
12 +2 =6
C
4 [best]
10 +2 =5
Thus, the alternatives chosen would be C under maximin, A under maximax, and A under Laplace.
Using graphical sensitivity analysis, determine the probability for no new bridge for which each Problem 2
alternative would be optimal.
eXcel
mhhe.com/stevenson13e
Transcribed Image Text:SOLVED PROBLEMS The following solved problems refer to this payoff table: New No New Bridge Built Bridge Alternative capacity for new store 14 10 4. 6. where A = small, B = medium, and C = large. Assume the payoffs represent profits. Determine the alternative that would be chosen under each of Problem 1 these decision criteria: eXcel a. Maximin mhhe.com/stevensont3e b. Мaximax c. Laplace Solution Laplace (average) New No New Maximin Maximax Bridge Bridge (worst) (best) 1 14 1 14 (best] 15 + 2 = 7.5 (best] 10 10 12 +2 =6 C 4 [best] 10 +2 =5 Thus, the alternatives chosen would be C under maximin, A under maximax, and A under Laplace. Using graphical sensitivity analysis, determine the probability for no new bridge for which each Problem 2 alternative would be optimal. eXcel mhhe.com/stevenson13e
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