Blue Mouse Manufacturers is considering a project that will have fixed costs of $$15,000,000.$ The product will be sold for $$41\mathrm{.}50$ per unit, and will incur a variable cost of $$10\mathrm{.}75$ per unit.

Blue Mouse Manufacturers$$s marketing sales director doesn$$t think that the market for the firm$$s goods is big enough to sell enough units to make the company$$s target operating profit of $$15,000,000.$ In fact, she believes that the firm will be able to sell only about $200,000$ units. However, she also thinks the demand for Blue Mouse Manufacturers$$s product is relatively inelastic, so the firm can increase the sale price. Assuming that the firm can sell $200,000$ units, what price must it set to meet the CFO$$s EBIT goal of $$15,000,000?$

$$160\mathrm{.}75$ per unit

$$200\mathrm{.}94$ per unit

$$184\mathrm{.}86$ per unit

$$168\mathrm{.}79$ per unit