Paddleboard Incorporated Builds Three Products: River,Lake,and Ocean Total Annual Fixed Costs Are $765,000

Paddleboard Incorporated builds three products: River,Lake,and Ocean.Information for these three products is shown below:

$\begin{array}{lcccc}& \text { River } & \text { Lake } & \text { Ocean } & \text { Total } \\\text { Selling price per unit } & \$ 300 & \$ 250 & \$ 275 & \\\text { Variable cost per unit } & \$ 175 & \$ 150 & \$ 125 & \\\text { Expected unit sales (annual) } & 14,000 & 2,000 & 4,000 & 20,000 \\\text { Sales mix } & 70 \% & 10 \% & 20 \% & 100 \%\end{array}$
Total annual fixed costs are $765,000.Assume the sales mix remains the same at all levels of sales.
(1) a.How many products in total must be sold to break even?
b.How many units of each product must be sold to break even?
(2)a.How many products in total must be sold to earn an annual profit of $1,275,000?
b.How many units of each product must be sold to earn an annual profit of $1,275,000?