A farmer has a choice of growing wheat, barley, or rice. Her success will depend on the weather, which could be dry, average, or wet. Her payoff matrix is as follows. Weather Dry Average Wet Wheat 20 20 10 Crop Choices Barley 10 15 20 Rice 10 20 20 If the probability that the weather will be dry is 50%, the probability that it will be average is 10%, and the probability that it will be wet is 40%, what is the farmer's best choice of crop? a. Rice O b. Barley and Rice c. Wheat and Barley O d. Barley e. Wheat

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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A farmer has a choice of growing wheat, barley, or rice. Her success will depend on the weather, which could be dry, average, or wet. Her
payoff matrix is as follows.
Weather
Dry
Average
Wet
Wheat
20
20
10
Crop Choices Barley
10
15
20
Rice
10
20
20
If the probability that the weather will be dry is 50%, the probability that it will be average is 10%, and the probability that it will be wet is
40%, what is the farmer's best choice of crop?
a. Rice
b. Barley and Rice
c. Wheat and Barley
d. Barley
e. Wheat
Transcribed Image Text:A farmer has a choice of growing wheat, barley, or rice. Her success will depend on the weather, which could be dry, average, or wet. Her payoff matrix is as follows. Weather Dry Average Wet Wheat 20 20 10 Crop Choices Barley 10 15 20 Rice 10 20 20 If the probability that the weather will be dry is 50%, the probability that it will be average is 10%, and the probability that it will be wet is 40%, what is the farmer's best choice of crop? a. Rice b. Barley and Rice c. Wheat and Barley d. Barley e. Wheat
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