3. ( 30 points) Sydney wants to add a new bike line to her shop. The bikes will cost her $100 apiece. She is allocating 20% of the fixed costs listed above (wages, utilities, advertising, and insurance) to the new product. a. If she sells the new bikes for $175 each, how many must she sell in a year to break even? b. If she expects to sell 30 of the new bikes each year, how much must she charge for each bike to break-even? c. She believes it is important for her to achieve a net profit percentage of 20% on the new bike sales. If she sells them at the $175 price, how many must she sell to achieve a net profit of 20% on the sale of the new bike line