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Cesar needs to make a decision whether to fertilize his garden or not. His profit depends...

Cesar needs to make a decision whether to fertilize his garden or not. His profit depends on his decision with respect to fertilizer and whether or not it rains. Cesar's profit w in each of the four possible cases is listed below. Assume that the probability of rain is 50%.

                    Do not fertilize                Fertilize

Rain               w = $16                       w = $25

No rain          w = $9                        w = $0

If Cesar decides to choose the action that maximizes his utility, what would he do if the function were:

* U(w) = w^0.5

*U(w) = w

*U(w) = w^2

Be sure to calculate the utility for both fertilize and do not fertilize for each utility function.

Part B. What does the answers for the three utilities (bulletpointed) state about risk aversion for each of them?

Help on this would be great!

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