consumer with a budget of $$100$ must choose between good X$,$ priced at $$5,$ and good Y

priced at $$2.$ If the consumer's utility function is U $=($X$^0\mathrm{.}5)*$ Y$,$ what quantity of each good

will maximize their utility assuming that the consumer gets no benefit from saving cash$)?$

Detail your answer. Do not even think of using chatGPT.