Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $7900 per month. Materials and labor for each helmet of this model are $55, 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) = (b) Write the function for total revenue R(x). R(x) = (c) Write the function for profit P(x). P(x)= (d) Find C(200). C(200) = Interpret C(200). O When this many helmets are produced the cost is $200. O This is the cost (in dollars) of producing 200 helmets. O For every additional helmet produced the cost increases by this much. O For each $1 increase in cost this many more helmets can be produced. Find R(200). R(200) = [

Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $7900 per month. Materials and labor for each helmet of this model are $55, 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) = (b) Write the function for total revenue R(x). R(x) = (c) Write the function for profit P(x). P(x)= (d) Find C(200). C(200) = Interpret C(200). O When this many helmets are produced the cost is $200. O This is the cost (in dollars) of producing 200 helmets. O For every additional helmet produced the cost increases by this much. O For each $1 increase in cost this many more helmets can be produced. Find R(200). R(200) = [

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Question 1 We have the following three matrices: 7 3 A = 3 2 6 7 4 6 B = C = 5 4 1 1 Another 2 x 2 matrices X and Y satisfy that AX = B and BY = CY + A. Compute X and Y (show necessary computing steps).
Find the consumer and producer surpluses by using the demand and supply functions, where p is the price (in dollars) and x is the number of units (in millions). Demand Function Supply Function p = 250 − x p = 100 + x
The demand function for a manufacturer's product is p 1000 where p is the price in dollars q +3
Tom is driving to Seattle. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Tom has 54 miles to his destination after 49 minutes of driving, and he has 33.2 miles to his destination after 75 minutes of driving. How many miles will he have to his destination after 91 minutes of driving?
The revenue function of a company that sells its product at a fixed price of OMR 220 per unit and the variable cost of producing one unit is OMR 200.
A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.
A company produces very unusual CD's for which the variable cost is $ 11 per CD and the fixed costs are $ 35000. They will sell the CD's for $ 55 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C = $ Write the total revenue R as a function of the number of CD's produced. R= $ Write the total profit P as a function of the number of CD's produced. P = $ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is
A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs are $40,000. Assume that they will sell all the CD's they can produce, and their selling price is $42 each. Let x be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C(x) = Write the total revenue R as a function of the number of CD's produced. R(x) = Write the total profit P as a function of the number of CD's produced. P(x) = Write the marginal profit as a function of the number of CD's produced. Marginal profit =
A vans value depreciates linearly. The original selling price in 1988 was $36,000 and the value in 1994 was $12,000. Find a linear function for the value V(t) of the van at time t, where t is the number of years since the van was purchased.
Suppose the function f(x) = 9.09x represents the number of Chinese yuan equivalent to x U.S. dollars and the function g(y) = 0.10y represents the number of British pounds equivalent to y Chinese yuan. a. Write a composite function that represents the number of British pounds equivalent to x U.S. dollars. b. Find the value in British pounds of an item that costs 25 U.S. dollars. a. The composite function is (fog)(x) = (Simplify your answer. Round es as needed.) (gof)(x) (fog)(x)