Matthew, Incorporated, owns $30$ percent of the outstanding stock of Lindman Company and has the ability to significantly influence the investee$$s operations and decision making. On January $1,2024,$ the balance in the Investment in Lindman account is $$341,000.$ Amortization associated with this acquisition is $$17,400$ per year. In $2024,$ Lindman earns an income of $$159,000$ and declares cash dividends of $$53,000.$ Previously, in $2023,$ Lindman had sold inventory costing $$47,200$ to Matthew for $$59,000.$ Matthew consumed all but $25$ percent of this merchandise during $2023$ and used the rest during $2024.$ Lindman sold additional inventory costing $$60,800$ to Matthew for $$80,000$ in $2024.$ Matthew did not consume $40$ percent of these $2024$ purchases from Lindman until $2025.$

Questions:

$1.$ What amount of equity method income would Matthew recognize in $2024$ from its ownership interest in Lindman?

$2.$ What is the equity method balance in the Investment in Lindman account at the end of $2024?$