Lithium, Inc. is considering two mutually exclusive projects, A and B$.$ Project A costs $$95,000$ and is expected to generate $$65,000$ in year one and $$75,000$ in year two. Project B costs $$120,000$ and is expected to generate $$64,000$ in year one, $$67,000$ in year two, $$56,000$ in year three, and $$45,000$ in year four. Lithium, Inc.$\text{'}$s required rate of return for these projects is $10\%.$ The profitability index for Project B is

Group of answer choices

$1\mathrm{.}39$

$1\mathrm{.}48$

$1\mathrm{.}55$

$1\mathrm{.}33$