A mutual fund has $300$ shares of General Electric, currently trading at $$30,$ and $400$ shares of Microsoft, Incorporated, currently trading at $$54.$ The fund has $1,000$ shares outstanding.

a$.$ What is the NAV of the fund? $($Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

b$.$ If investors expect the price of General Electric to increase to $$34$ and the price of Microsoft to decline to $$48$ by the end of the year, what is the expected NAV at the end of the year? $($Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

c$.$ Assume that the price of General Electric shares is realized at $$34.$ What is the maximum price to which Microsoft can decline and still maintain the NAV as estimated in $($a$)?($Do not round intermediate calculations. Enter your answer to the nearest whole number.$)$