Problem:
XYZ coating company has reviewed four new processes for improving their coating line. The four processes, labeled A, B, C, and D use different technology and have different capacities. All the processes have the same level of production and the lifetime.
The four states of nature represent four levels of consumer acceptance of the firm's products. Values in the table are net present value of future profits in millions of dollars.
Forecasts indicate that there is a 0.4 probability of acceptance level 1, 0.3 chance of acceptance level 2, 0.6 chance of acceptance level 3, and 0.5 change of acceptance level 4.
|
Consumer Acceptance Level (states of nature)
|
|
1
|
2
|
3
|
4
|
|
Alternative A
|
35
|
55
|
85
|
165
|
|
Alternative B
|
-105
|
-5
|
155
|
225
|
|
Alternative c
|
75
|
85
|
75
|
65
|
|
Alternative D
|
55
|
55
|
75
|
65
|
Required:
Question 1) Using the criterion of expected monetary value, which production alternative should be chosen? Solve the problem and show all work.