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Question 4 (7 Points) Karmen has $10,000 to invest for 1 year. She has narrowed her choice to 1 of 2 companies: Act al: Invest $10,000 in shares of Gas Ltd. Act a2: Invest $10,000 in shares of Coffee Ltd. The payoff from these investments depends on the future price of Natural Gas. If the price is high, Karmen will earn a net return of $1,000 on Gas shares and $500 on Coffee shares. If the price is low, she will earn $500 on Gas shares and $1,000 on Coffee shares. Karmen's prior probabilities on the future price of Natural Gas are: P(H) = 0.45 P(L) = 0.55 where H means the future price of Natural Gas is high, and L means it is low. Karmen is a rational, risk-averse decision-maker with utility equal to the square root of the net return on his investment. Required