Route Two Tire Company makes a special kind of racing tire. Variable costs are $$220$ per unit, and fixed costs are $$30,000$ per month. Route Two sells $500$ units per month at a sales price of $$300.$ The company believes that it can increase the price if the tire quality is upgraded. If so$,$ the variable cost will increase to $$230$ per unit, and the fixed costs will rise by $25\%.$ The CEO wishes to increase the company's operating income by $20\%.$ Which sales price level would give the desired results? $($Round your answer to the nearest cent.$)$

A$.$ $$320\mathrm{.}00$ per unit

B$.$ $$329\mathrm{.}00$ per unit

C$.$ $$990\mathrm{.}00$ per unit

D$.$ $$280\mathrm{.}00$ per unit