Evaluating and Solving Quadratic Functions It is very important in business for companies to determine their profit in different situations. Profit is revenue (money earned) minus costs (money spent). A company's revenue earned from selling x items is given by the function R(x) = 560x, and their cost is given by the function c(x) = 2300 + 1.7x². Use this function to answer the following questions. Write a function, P(x), that represents the company's profit from selling x items. P(x) Preview Identify the vertical intercept of P(x). Write it as an ordered pair and interpret its meaning in a complete sentence. Vertical Intercept: If the company sells items, they will lose $ How many items must be sold in order to maximize the profit? To maximize profits, items must be sold. Round to the nearest whole number. What is the maximum profit that can be earned? Round to the nearest cent. The maximum profit that can be earned is $ What is the minimum number of items that must be sold in order to make a profit? Round the answer to the nearest whole number. The company must sell a minimum of to make a profit items

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
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Evaluating and Solving Quadratic Functions
It is very important in business for companies to
determine their profit in different situations. Profit is
revenue (money earned) minus costs (money spent). A
company's revenue earned from selling x items is given
by the function R(x)
= 560x, and their cost is given by the
function c(x)
= 2300 + 1.7x². Use this function to answer the
following questions.
Write a function, P(x), that represents the company's
profit from selling x items.
P(x)
Preview
Identify the vertical intercept of P(x). Write it as an
ordered pair and interpret its meaning in a complete
sentence.
Vertical Intercept:
If the company sells
items, they will lose $
How many items must be sold in order to maximize the
profit?
To maximize profits,
items must be sold.
Round to the nearest whole number.
What is the maximum profit that can be earned? Round
to the nearest cent.
The maximum profit that can be earned is $
What is the minimum number of items that must be sold
in order to make a profit? Round the answer to the
nearest whole number.
The company must sell a minimum of
to make a profit
items
Transcribed Image Text:Evaluating and Solving Quadratic Functions It is very important in business for companies to determine their profit in different situations. Profit is revenue (money earned) minus costs (money spent). A company's revenue earned from selling x items is given by the function R(x) = 560x, and their cost is given by the function c(x) = 2300 + 1.7x². Use this function to answer the following questions. Write a function, P(x), that represents the company's profit from selling x items. P(x) Preview Identify the vertical intercept of P(x). Write it as an ordered pair and interpret its meaning in a complete sentence. Vertical Intercept: If the company sells items, they will lose $ How many items must be sold in order to maximize the profit? To maximize profits, items must be sold. Round to the nearest whole number. What is the maximum profit that can be earned? Round to the nearest cent. The maximum profit that can be earned is $ What is the minimum number of items that must be sold in order to make a profit? Round the answer to the nearest whole number. The company must sell a minimum of to make a profit items
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