Suppose that an individual's utility function for money is given by u left parenthesis x right parenthesis equals left parenthesis $50$ comma $000$ plus x right parenthesis to the power of $1$ third end exponent. Suppose this individual currently holds an asset which in the future will pay $$10,000$ with probability $\mathrm{.}3,$ $$5,000$ with probability $\mathrm{.}5,$ and $$1,000$ with probability $\mathrm{.}2.$ What is the minimum price the individual should be willing to sell this asset for?