On January $1,2022,$ Frame Industries purchased a delivery vehicle costing $$20,000.$ The vehicle has an estimated $6-$year life and a $$2,000$ residual value.

Frame uses the units$-$of$-$production depreciation method and Frame estimates that the vehicle will be driven $100,000$ miles. What is the vehicle's book value as of December $31,2023,$ assuming the vehicle was driven $10,000$ miles during $2022$ and driven $18,000$ miles during $2023?$

Multiple Choice

$$14,960.$

$$14,400.$

$$12,960.$

$$12\mathrm{.}400.$