Problem $3(7$ points$)$: A company sells three different products: Product A$,$ Product B$,$ and Product C$.$ The contribution margin per unit for each of the products is as follows: $$35$ for Product A$,$ $$60$ for Product B$,$ and $$80$ for Product C$.$ The company's sales mix in units is as follows: $40\%$ Product A$,55\%$ Product B$,$ and $5\%$ Product C$.$ The company's fixed costs amount to $$1,836,000.$ How many units of each product must the company sell in order to break even?