The market price for a product has been $$50$ per unit, but competitive pressures have reduced the market price to $$45.$ The firm manufactures $10,000$ of these products per year at a manufacturing cost of $$38$ per unit $($including $$22$ fixed cost and $$16$ variable cost per unit$).$ Other selling and administrative costs for the product are $$8$ per unit.

The firm ignores competitive prices because it has a differentiated product. It uses life$-$cycle cost$-$based pricing with a $10\%$ markup. What is the firm$$s price? $($Round your answer to $2$ decimal places.$)$