2. (Developing and Proficient) An ice cream company varies the prices of its pint containers to maximize profit. The equation P(x) = - 8x² + 48&x – 57 models the company's profit in thousands of dollars, where x is the price of a pint container of ice cream in dollars. a. How much does the company need to charge for a pint of ice cream if they want to at least break even and not lose any money? b. If the company wants to make $7,000 in profit, how much should they charge for a pint of ice cream? c. Is it possible for them to make $20,000 in profit from this business? Why or why not?

2. (Developing and Proficient) An ice cream company varies the prices of its pint containers to maximize profit. The equation P(x) = - 8x² + 48&x – 57 models the company's profit in thousands of dollars, where x is the price of a pint container of ice cream in dollars. a. How much does the company need to charge for a pint of ice cream if they want to at least break even and not lose any money? b. If the company wants to make $7,000 in profit, how much should they charge for a pint of ice cream? c. Is it possible for them to make $20,000 in profit from this business? Why or why not?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 5CYU

See similar textbooks

Similar questions

Find the maximum or minimum value of the quadratic equation y=4x2+16x11 .
How do you find the v-intercept of the graph of 5x—y= 10?
Find the x-intercept and y-intercept of the equation 3x—y= 6.
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.
An ice cream company varies the prices of its pint containers to maximize profit. The equation P (x) =- 80x² + 480 x – 570 models the company's profit in thousands of dollars, where x is the price of a pint of ice cream in dollars. At what price will the company tevieve maximum profits? How much will the company earn?
The profit for a computer business is represented by the equation P(x) = -40x^2 + 140,000x. What is the maximum profit and how many computers must the business sell to reach the maximum profit value?
A company earns a weekly profit of P dollars by selling x items, according to the equation P(x) = -0.5x2 + 40x - 300. How many items does the company have to sell each week to maximize the profit? How many items will result in the company breaking even (a profit of 0)?
9. Jamie is making a garden that is twice as long as it is wide. He wants to cover 288 square feet with the garden. Which equation best represents the situation if x represents the length of the garden?
The profit P(x) of a clothing company, in thousands of dollars, is given by the equation P(x) = -5x² +400x - 3500, where x is the amount spent on advertising, in thousands of dollars. A) Determine the maximum profit the company can make B) Determine the amount of advertising that will result in the maximum profit. C) what amount of advertising will result in the company breaking even? D) what is the profit if the clothing company spent $2000 in advertising?
A company manufacturers and sells x cellphones per week. The weekly price-demand and cost equations are given below. p=600-0.5x and C(x)=25,000+130x
manufactures satellite systems; their monthly profit P , from producing andselling x systems, is given by the equation: 4P = 81x −29, 970. Find the number of systems that DSneeds to produce and sell to break even.
A study of the finances of Armen motors has shown that the profit of the company can be described by the equation : P = -2 (N-420)² + 650,000 where "P" represents profit in dollars, "N" represents number of cars sold. [1,1,1,mark] a) What is the maximum possible profit? B) How many cars must be sold to achieve this profit? C) calculate the amount of profit if 480 cars sold.