8. A manufacturer is producing and selling ear pods. The cost for producing x ear pods is C(x) = 4.5x + 1410 and the revenue earned for selling each set of ear pods for R(x) = 30x. (a) (4 pts) Write the profit function, P(x), for this product. Simplify completely. (b) (2 pts) Interpret the meaning of the marginal profit in the context of this situation. Write as a complete sentence with correct units for full credit. (c) (6 pts) Find C(70), R(70), and P(70) and interpret each in the context of this situation. (d) (4 pts) Find the breakeven for this product algebraically and interpret the meaning in the context of this situation. Write solution as a complete sentence with correct units for full credit.