Liam, Michael and Noah own interests in the LMN Partnership. Their current capital account balances are as follows:

Liam $$450,000$

Michael $350,000$

Noah $200,000$

Partnership income is shared in a $1$:$5$:$4$ ratio. Olivia buys a $20\%$ interest in the partnership by acquiring $20\%$ of each existing partner's interest, paying the three partners a total of $$300,000.$ Partnership identifiable net assets are currently reported at amounts approximating fair value.

Using the recognition of implied goodwill approach, implied goodwill is:

Select one:

a$.$ $$500,000$

b$.$ $$800,000$

c$.$ $$300,000$

d$.$ $$100,000$