The following three stocks are available in the market:E$($R$)$Stock A$10\mathrm{.}5\%1\mathrm{.}20$Stock B$13\mathrm{.}0\mathrm{.}98$Stock C$15\mathrm{.}71\mathrm{.}37$Market$14\mathrm{.}21\mathrm{.}00$Assume the market model is valid.a$.$ Write the market model equation for each stock.b$.$ What is the return on a portfolio with weights of $30$ percent Stock A$,45$ percent Stock B$,$ and $25$ percent Stock C$?$c$.$ Suppose the return on the market is $15$ percent and there are no unsystematic surprises in the returns. What is the return on each stock? What is the return on the portfolio?