R. Fong Company introduced a new product last year for which it is tryingto find an optimal selling price. Marketing studies suggest that thecompany can increase sales by 5,000 units for each $ 2...

R. Fong Company introduced a new product last year for which it is trying to find an optimal selling price. Marketing studies suggest that the company can increase sales by 5,000 units for each $ 2 reduction in the selling price. The company's present selling price is $ 70 per unit, and variable expenses are $ 40 per unit. Fixed expenses are $ 540,000 per year. The present annual sales volume (at the $70 selling price) is 15,000 units. Assuming that the marketing studies are correct, what will be the optimal selling price that will give the maximum profit for the company? the optimal selling price is set, how many units are expected to be sold?