Question 1 The Valley Wine Company purchases grapes from one to two nearby growers each season to produce a particular red wine. It purchases enough grapes to produce 3,000 bottles of the wine. Each grower supplies a certain portion of poor-quality grapes, resulting in a percentage of bottles being used as fillers for cheaper table wines, according to the following probability distribution: Probability of percentage defective Grower A Grower B .30 .30 .20 .10 Defective (%) 2 4 6 8 Assignment 2 10 .15 .20 .25 .30 10

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Assignment 2
Question 1
The Valley Wine Company purchases grapes from one to two nearby growers each season to produce
a particular red wine. It purchases enough grapes to produce 3,000 bottles of the wine. Each grower
supplies a certain portion of poor-quality grapes, resulting in a percentage of bottles being used as fillers
for cheaper table wines, according to the following probability distribution:
Probability of percentage defective
Defective (%)
Grower A
Grower B
2
.15
.30
4
.20
.30
6.
.25
.20
8
30
.10
10
.10
.10
The two grapes charge different prices for their grapes and, because of differences in taste, the company
charges different prices for its wine, depending on which grapes it uses. following is the annual profit
from the wine produced from each grower's grapes for each percentage defective:
Profit
Defective (%)
Grower A
Grower B
$ 44,200
$ 42,000
40,200
40,300
6.
36,200
38,000
8.
32,000
35,700
10
28,200
33,400
Use decision tree analysis to determine from which grower the company should purchase grapes.
Transcribed Image Text:Assignment 2 Question 1 The Valley Wine Company purchases grapes from one to two nearby growers each season to produce a particular red wine. It purchases enough grapes to produce 3,000 bottles of the wine. Each grower supplies a certain portion of poor-quality grapes, resulting in a percentage of bottles being used as fillers for cheaper table wines, according to the following probability distribution: Probability of percentage defective Defective (%) Grower A Grower B 2 .15 .30 4 .20 .30 6. .25 .20 8 30 .10 10 .10 .10 The two grapes charge different prices for their grapes and, because of differences in taste, the company charges different prices for its wine, depending on which grapes it uses. following is the annual profit from the wine produced from each grower's grapes for each percentage defective: Profit Defective (%) Grower A Grower B $ 44,200 $ 42,000 40,200 40,300 6. 36,200 38,000 8. 32,000 35,700 10 28,200 33,400 Use decision tree analysis to determine from which grower the company should purchase grapes.
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