Acme multistage new product decisions with an option to buy information
Inputs
Cost of market research $150 Bayes' rule calculations
Fixed marketing cost $2,000 Probabilities of predictions
Unit margin $18 Good Bad Sum check
0.5 0.5 1
Market Prior probability Sales volume Net revenue
Good 0.40 600 $10,800 Posterior probabilities, given predictions
Bad 0.60 100 $1,800 Actual\Predicted Good Bad
Good 0.64 0.16
Probabilities that indicate the accuracy of the predictions Bad 0.36 0.84
Actual\Predicted Good Bad Sum check Sum check 1 1
Good 0.8 0.2 1
Bad 0.3 0.7 1
64.0% 0.0%
10800 8650
TRUE Sales volume
-2000 5410
36.0% 0.0%
1800 -350
50.0% Market product?
0 5410
FALSE 0.0%
0 -150
FALSE Prediction
-150 3250
16.0% 0.0%
10800 8650
TRUE Sales volume
-2000 1090
84.0% 0.0%
1800 -350
50.0% Market product?
0 1090
FALSE 0.0%
0 -150
Hire firm?
3400
40.0% 40.0%
$10,800 8800
TRUE Sales volume
-2000 3400
60.0% 60.0%
$1,800 -200
TRUE Market product?
0 3400
FALSE 0.0%
0 0