A designer apparel company produces a line sunglasses for its new season. The profit function is modeled by the function P(a) below, where - is the price for each pair of sunglasses. Plt) = - 3x + 1464z - 10000. a) What is the company's startup costs? (in other words, what they spent before selling any sunglasses) $ b) What is the lowest price the company has to sell the sunglasses for to break even (in other words, to not lose money but also not make any profit)? $ c) At what price should the company sell sunglasses to maximize profit? $ d) How much in total profit will the company make on these sunglasses at this optimal price? $ e) Match the following with their corresponding feature on the function's graph lowest price to break even a. y-intercept Startup cost b. x-intercept price to maximize profit C. x-value of vertex d. y.value of vertex total profit at optimal price > Next