Matthew, Incorporated, owns $30$ percent of the outstanding stock of Lindman Company and has the ability to significantly influence the investee's operations and decision making. On January $1,2024,$ the balance in the Investment in Lindman account is $$365,000.$ Amortization associated with this acquisition is $$12,600$ per year. In $2024,$ Lindman earns an income of $$132,000$ and declares cash dividends of $$33,000.$ Previously, in $2023,$ Lindman had sold inventory costing $$33,600$ to Matthew for $$56,000.$ Matthew consumed all but $20$ percent of this merchandise during $2023$ and used the rest during $2024.$ Lindman sold additional inventory costing $$44,800$ to Matthew for $$80,000$ in $2024.$ Matthew did not consume $40$ percent of these $2024$ purchases from Lindman until $2025.$

Required:

a$.$ What amount of equity method income would Matthew recognize in $2024$ from its ownership interest in Lindman?

b$.$ What is the equity method balance in the Investment in Lindman account at the end of $2024?$

a$.$ Equity income

b$.$ Balance of investment in Lindman account