$.$ After several profitable years running her business, Ingrid decided to acquire the assets of a small competing business. On May $1$ of year $1,$ Ingrid acquired the competing business for $$300,000.$ Ingrid allocated $$50,000$ of the purchase price to goodwill. Ingrid$$s business reports its taxable income on a calendar$-$year basis.

a$.$ How much amortization expense on the goodwill can Ingrid deduct in year $1,$ year $2,$ and year $3?$ Ingrid can deduct $$4,733$ as amortization expense on the goodwill for each of the first three years following the acquisition of the competing business. The total deductible amortization expense over these three years would amount to $$14,199.$

b$.$ In lieu of the original facts, assume that Ingrid purchased only a phone list with a useful life of $5$ years for $$10,000.$ How much amortization expense on the phone list can Ingrid deduct in year $1,$ year $2,$ and year $3?$