The Chester team has just purchased $$15,885,000$ of plant and equipment that has an estimated useful life of $15$ years. Suppose at the end of $15$ years this plant and equipment can be salvaged for $$1,588,500(1/10$th of its original cost$).$ What will be the book value of this purchase $($excluding all other Plant and Equipment$)$ after its first year of use?

Group of answer choices

$$12,708,000$

$$14,931,900$

$$13,343,400$

$$14,296,500$