Bigbox, Inc. is considering two, mutually exclusive projects. Project A is a three$-$year project that has an initial after$-$tax cost of $$53,000$ and afer$-$tax cash inflows of $$26,500$ in year $1,$$$16,960$ in year $2,$ and $$16,960$ in year $3.$ Project $3$ has an after tax cost of $$29,150$ and future after$-$tax cash inflows of $$18,594$ in year $1$ and $$13,992$ in year $2.$ If Bigbox uses the net present value method and has a discount rate of $5\%,$ which project should they choose?

Choose

project B

Choose project $A$

Choose project B

Choose both projects.

You cannot determine which project is better since they have unequal lives.