On April $1,$ a patent with an estimated useful economic life of $12$ years was acquired for $$72,000.$ In addition, on December $31,$ it was estimated that goodwill of $$34,500$ was impaired.

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a$.$ Record the acquisition of patent. If an amount box does not require an entry, leave it blank.

April $1$

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b$.$ Journalize the adjusting entry on December $31$ for the amortization of the patent rights. Do not round intermediate calculations. If an amount box does not require an entry, leave it blank.

Dec. $31$

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c$.$ Journalize the adjusting entry on December $31$ for the impaired goodwill. If an amount box does not require an entry, leave it blank.

Dec. $31$