Example $6.$ Cost$-$Volume$-$Profit $($CVP$)$ Analysis

Question: Regal Corporation manufactures a product with a selling price of $$100$ per unit, variable costs of $$60$ per unit, and fixed costs of $$400,000$ per year. Calculate the break$-$even point in units and dollars. Additionally, determine the number of units that must be sold to achieve a target profit of $$150,000.$ Provide a step$-$by$-$step calculation and explanation.