You hold a diversified $$100,000$ portfolio consisting of $20$ stocks with $$5,000$ invested in each. The portfolio's beta is $1\mathrm{.}30.$ You plan to sell a stock with $b=0\mathrm{.}60$ and use the proceeds to buy a new stock with $b=1\mathrm{.}60.$ What will the portfolio's new beta be$?$ Do not round your intermediate calculations.

a$.1\mathrm{.}330$

b$.1\mathrm{.}380$

c$.1\mathrm{.}600$

d$.1\mathrm{.}450$

e$.1\mathrm{.}350$