Hannah manages a store for which she receives \(20 \%\) of any profit earned, so she does well when the store does well and earns nothing if the store incurs a loss. Hannah and the store's owner are both risk neutral. At present, the store is making an annual profit of 500. Would Hannah bring a new product into the store if she expects there is a \(60 \%\) chance that it would increase the store's profits to 1,000 but a \(40 \%\) chance that the store would incur a loss of 550? Would the owner support selling the new product? If Hannah's compensation package also included a bonus of \(4 \%\) of profits, would Hannah choose to sell the new product?