Bedrock Company has $$70$ million in debt and $$30$ million in equity. The debt matures in one$-$year and

has a $10\%$ interest rate, so the company is promising to pay back $$77$ million to its debtholders one$-$year

from now. The company is considering two possible investments, each of which will require an up$-$front

cost of $$100$ million. Each investment will last for one$-$year, and the payoff from each investment

depends on the strength of the overall economy. There is $50\%$ chance that the economy will be weak

and a $50\%$ chance it will be strong.

Here are the expected payoffs $($all dollars are in millions$)$ from the two investments: