Calculating initial cash flow Vastine Medical, Inc., is considering replacing its existing computer system, which was purchased $3$ years ago at a cost of $$319,000.$ The system can be sold today for $$190,000.$ It is being depreciated using MACRS and a $5-$year recovery period $($see the table $).$ A new computer system will cost $$506,000$ to purchase and install. Replacement of the computer system would not involve any change in net working capital. Assume a $21\%$ tax rate on ordinary income and capital gains.

a$.$ Calculate the book value of the existing computer system.

b$.$ Calculate the after$-$tax proceeds of its sale for $$190,000.$

c$.$ Calculate the initial cash flow associated with the replacement project.

a$.$ The remaining book value is $$.($Round to the nearest dollar.$)$