Fruit Computer Company makes a fruit themed computer. Variable costs are $$200$ per unit, and fixed costs are $$32,000$ per month. Fruit Computer Company sells $500$ units per month at a sales price of $$320.$ The company believes that it can increase the price if the computer quality is upgraded. If so$,$ the variable cost will increase to $$230$ per unit, and the fixed costs will rise by $50\%.$ The CEO wishes to increase the company's operating income by $10\%.$ Which sales price level would give the desired results? $($Round your answer to the nearest cent.$)$

$$264\mathrm{.}00$ per unit

$$376\mathrm{.}00$ per unit

$$387\mathrm{.}60$ per unit