Fool Proof Software is considering a new project whose data are shown below. The equipment that would be used has a $3-$year tax life, and the allowed depreciation rates for such property are $33\mathrm{.}0\%,45\mathrm{.}0\%,15\mathrm{.}0\%,$ and $7\mathrm{.}0\%$ for Years $1$ through $4.$ Under the new tax law, the equipment used in the project is eligible for $100\%$ bonus depreciation, so it will be fully depreciated at t $=0.$ Revenues and other operating costs are expected to be constant over the project's $10-$year expected life. What is the Year $1$ cash flow?

Equipment cost $$55,000$

Sales revenues, each year $$86,200$

Operating costs $$24,800$

Tax rate $25\mathrm{.}0\%$

a$.$ $$61,400$

b$.$ $$46,050$

c$.$ $$50,588$

d$.$ $$64,200$

e$.$ $$47,013$