Mr$.$ Lodovico has a $2-$stock portfolio with a total value of $$100,000.$ $$70,000$ is invested in Stock A with a beta of $0\mathrm{.}800$ and the remainder is invested in Stock B with a beta of $1\mathrm{.}57.$ What is his portfolio's beta?

$1\mathrm{.}13$

$1\mathrm{.}06$

$1\mathrm{.}03$

$1\mathrm{.}08$

$1\mathrm{.}19$