Earl's bike shop makes and sells bikes and has a profit function of P(x) = -2x +260x-5000, where P(x) is the profit in dollars from

Earl's bike shop makes and sells bikes and has a profit function of P(x) = -2x² +260x-5000, where P(x) is the profit in dollars from selling x bikesa) For this function P(30)= 1000. Explain what that means in the context of the situation. (4 pts)b) According to this model, can the shop earn $5,000 in profit? Justify your answer. (4 pts)c) How many bikes would the shop need to sell to break even? Round to the nearest whole number.(6pts)