Extreme Protection, Inc. manufactures helmets for skiing and snow boarding. The fixed costs for one model of helmet are $6600 per month. Materials and labor for each helmet of this model are $35, and the company sells this helmet to dealers for $60 each.
(a) For this helmet, write the function for monthly total costs.
(b) Write the function for total revenue.
(c) Write the function for profit.
(d) Find C(200), R(200), and P(200) and interpret each answer.
(e) Find C(300), R(300), and P(300) and interpret each answer.
(f) Find the marginal profit and write a sentence that explains its meaning?