City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) = 690x + 54,000 and its revenue will be R(x) = -3x² + 1,500x (both in dollars). (a) Find the store's break-even points. (Enter your answers as a comma-separated list.) bicycles per month (b) Find the number of bicycles that will maximize profit. (Enter your answer in bicycles per month.) bicycles per month Find the maximum profit (in dollars). $ 12 D C MacBook Air V

City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) = 690x + 54,000 and its revenue will be R(x) = -3x² + 1,500x (both in dollars). (a) Find the store's break-even points. (Enter your answers as a comma-separated list.) bicycles per month (b) Find the number of bicycles that will maximize profit. (Enter your answer in bicycles per month.) bicycles per month Find the maximum profit (in dollars). $ 12 D C MacBook Air V

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 54E: Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x...

See similar textbooks

Similar questions

A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three ingredients, which are available in the limited quantities shown in the table. The profit on each bag of fertilizer x is 6 and on each bag of y is 5. How many bags of each product should be produced to maximize the profit? Ingredient Number of Pounds in Fertilizer x Number of Pounds in Fertilizer y Total number of Pounds Available Nitrogen 6 10 20,000 Phosphorus 8 6 16,400 Potash 6 4 12,000
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?
How do you find the x-intercept of the graph of 3x—2y = 6?
Find the maximum or minimum value of the quadratic function g(x)=2x2+6x+3
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running shoes and x2 units of basketball shoes is R = −5x12 − 8x22 − 2x1x2 + 42x1 + 102x2 where x1 and x2 are in thousands of units. Find x1 and x2 so as to maximize the revenue.
It costs a company $100 in variable costs to produce an air conditioner, plus a fixed cost of $5,000 if any air conditioners are produced. If the company spends x dollars on advertising, then it can sell x1/2 air conditioners at $300 each. How can the company maximize its profit? If the fixed cost of producing any air conditioners were $20,000, what should the company do
A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue from x1 units of running shoes and x2 units of basketball shoes is: R=-5x1 2-8x2 2-2x1x2+50x1+97x2 where x1 and x2 are in thousands of units. Find x1 and x2 so as to maximize the revenue.
For producing a certain product, if total costs can be represented by C(x) = 1600 +1500x, and the total revenues can be represented by R(x) = 1600x - x2, find the break-even point(s) and the maximum possible profit.
An appliance company determines that in order to sell x dishwashers, the price per dishwasher must be p = 720 - 0.3x. It also determines that the total cost of producing x dishwashers is given by C(x) = 4000 + 0.9x2. What price must be charged per dishwasher in order to maximize profit?