On January $1,2024,$ Greenwood Co$.$ began construction of a building to be used as its office headquarters. The building is expected to be completed on December $31,2024.$ Expenditures on this project during $2024$ were as follows:January $1"$$ $270,000$

April $1"380,000$

August $1"240,000$

October $31$&$156,000$

On Jan. $1,2024,$ the company obtained a $ $520,000$ specific construction loan with a $7\%$ interest rate.The loan was outstanding during the entire construction period. The company's other interest$-$bearing debts included two long$-$term notes of $ $600,000$ and $$700,000$ with interest rates of $6\%$ and $10\%,$ respectively. Both notes were outstanding during the entire construction period

$($a$)$ Determine the amount of interest capitalized for $2024.$ Please show your work $($i$.$e$.$ WA accumulated expenditure, actual interest, WA interest rate, and avoidable interest$)$ to support your final answer. Please round the WA interest rate to the $4$th decimal place when necessary..Answer:

The amount of interest capitalized for $2024$ is

$($b$)$ Regardless of your answer in $($a$),$ determine the amount of avoidable interest for $2024$ assuming that the WA accumulated expenditure is $$460,000($other things being equal$).$Answer: The amount of avoidable interest for $2024$ is: