Reference no: EM132851726

Extreme Protection, Inc. manufactures helmets for skiing and snowboarding.

The fixed costs for one model of helmet are $5200 per month. Materials and labor for each helmet of this model are $60, and the company sells this helmet to dealers for $85 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.)

(a) For this helmet, write the function for monthly total costs C(x).

C(x) = 5200+60x

(b) Write the function for total revenue R(x).

R(x) = 60x

(c) Write the function for profit P(x).
P(x) =
(d) Find C(200).
C(200) =

Find R(200).
R(200) =
Find P(200).
P(200) =

Find C(300).
C(300) =

Find R(300).
R(300) =

Find P(300).
P(300) =
(f) Find the marginal profit MP.

MP =