Pixie Accessories produces charms for gold bracelets. They sell the charms for $$5$ each. Manufacturing cost is $$0\mathrm{.}8$ per piece, and royalty payments to the designers are $10\%$ of the selling price per piece. Fixed Cost of the business is $$8000$ and the advertising costs are $$2500.$ The capacity is $8000$ charms.

a$)$ Compute the break$-$even point as a percent of capacity.

b$)$ Compute the break$-$even point in dollars.

c$)$ What is the company's profit if they sell $3500$ charms?

 

 d$)$ What is the maximum fixed cost they can pay, if the price they can charge drops to $$4$?