$($The Market Value$)$ JCR$,$ Inc., is a publicly$-$traded company with only two assets: It owns $75\%$ of Tim's Supply Shop and $100\%$ of the Carp Factory. Suppose the market value of JCR Inc. is $$200$ million, and the market value of the entire Tim's Supply Shop $($which is also publicly traded$)$ is $$150$ million.

What is the market value of the Carp Factory? $(0\mathrm{.}5$ point$)$

In September $2023,$ JCR Inc. decreased the holdings of the Carp Factory to $20\%$ and Tim's Supply Shop holdings to $60\%.$ Suppose the market value of JCR Inc. and the market value of the entire Tim's Supply Shop is the same as in part a$.$ Now, what is the market value of the Carp Factory? $(0\mathrm{.}5$ point$)$