Sorenson Corp.$\text{'}$s expected year$-$end dividend is $D_1=$$${?}_3\mathrm{.}60,$ its required return is $r_S=9\mathrm{.}00\%,$ its dividend yield is $6\mathrm{.}00\%,$ and its growth rate is expected to be constant in the future. What is Sorenson's expected stock price in $7$ years, i$.$e$.,$ what is tilde$(P{)}_7?$ Do not round intermediate calculations.

a$.$ $$61\mathrm{.}80$

b$.$ $$73\mathrm{.}79$

c$.$ $$109\mathrm{.}68$

d$.$ $$90\mathrm{.}22$

e$.$ $$71\mathrm{.}6$