1.Please solve this problem? A farmer is attempting to decide which of three crops he should plant on his 100-acre farm. The profit from each crop is strongly dependent on the rainfall during the growing season. He has categorized the amount of the rainfall as substantial, moderate or light. He estimates his profit for each crop as shown in the table below:

Rainfall Estimated Profit (Br) Crop A Crop B Crop C

Substantial 7,000 2,500 4,000

Moderate 3,500 3,500 4,000

Light 1,000 4,000 3,000

Based on the weather in previous seasons and the current projection for the coming season, he estimates the probability of substantial rainfall as 0.2, that of moderate rainfall as 0.3 and that of light rainfall as 0.5.

Furthermore, services of forecasters could be employed to provide a detailed survey of current rainfall prospects as shown in the table.

Rainfall Estimated Profit (Br)

Crop B Crop C

Substantial 0.7 0.25 0.05

Moderate 0.3 0.6 0.1

Light 0.1 0.2 0.7

(a)From the available data, determine the optimal decision as to which crop to plant under condition of uncertainty

(b)From the available data, determine the optimal decision as to which crop to plant under condition of risk EMV and EOL