Firm X has a production process that has a total joint cost of $$13,000.$ At the split$-$off point, there are $1,000$ pounds of Product $1$ and $3,000$ pounds of Product $2.$ What is the cost per pound of Product $1$ using the physical measure method?

Multiple Choice

$$2\mathrm{.}75.$

$$3\mathrm{.}25.$

$$3\mathrm{.}75.$

$$4\mathrm{.}25.$

$$4\mathrm{.}00.$