The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data2.collection, the sales team determines that the monthly profit is approximated by f (p)=-50p+1600p-11,000, where p is theprice per shirt and f(p) is the monthly profit based on that price.(a) Find the price that generates the maximum profit.(b) Find the maximum profit.(c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button.Part: 0/3Part 1 of 3(a) The price that generates the maximum profit is $

Name: The monthly profit for a small company that makes long-sleeve T-shirt
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After mont

Given function f(p)=-50p2+1600p-11000 , where p is the price per shirt and f(p) is monthly profit…

Math

Algebra

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of dat collection, the sales team determines that the monthly profit is approximated by f (p)=-50p+1600p-11,000, where p is ti price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button.

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of dat collection, the sales team determines that the monthly profit is approximated by f (p)=-50p+1600p-11,000, where p is ti price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button.

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

Related questions

Q: A house painter has found that the number of jobs that he has each year is decreasing with respect…

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: Find the number of units sold that yields a maximum annual revenue for a sporting goods…

Q: Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x +…

Q: The bar graph on the right shows the average cost of room and board at four-year public and private…

Q: The profit (in dollars) from the sale of x lawn mowers is II(x) = 20 x - 0.02 x2 - 750. The average…

Q: The number of unwatched shows in Timo's DVR is 62. This number grows by 12 unwatched shows per week.…

Q: tow truck originally purchased for $150,000 is depreciated using the straight line method for the…

A: Given query is to find value of truck after 10 years.

Q: artwork has a cost function

A: Cost function C(x)=24x+300 Revenue function R(x)=75x Where x is the number of item made We know…

Q: An electronics company can sell x cellular phones at a price of p(x)=−0.04x+700 dollars per phone.…

Q: It costs C(x) = 807.71 + 173.627x dollars to produce x light boxes. To sell x light boxes, the price…

A: Given Cost Function Given price function Ler Revenue function Let Profit function

Q: An anthropologist can use linear functions to estimate the height of a male or female, given the…

A: The length of the humerus x is in centimeters. We have to find the height of a male and a female if…

Q: A house painter has found that the number of job that he has each year is decreasing with respect to…

A: Set year 2004 as x=0, tabulate the given data as: Year, X Average income per job, p(x) 0 430…

Q: A company that manufactures push scooters has a fixed cost of $11,000. It costs $48 to produce each…

A: Given that push scooter fixed cost is $11,000 and $48 for each scooter. Also given the total cost…

Q: Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x +…

A: Use the following formula, to obtain the solution. Profit=Rx-Cx Where x denotes the quantity, Cx and…

Topic Video

Question

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,
sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data
2.
collection, the sales team determines that the monthly profit is approximated by f (p)=-50p+1600p-11,000, where p is the
price per shirt and f(p) is the monthly profit based on that price.
(a) Find the price that generates the maximum profit.
(b) Find the maximum profit.
(c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button.
Part: 0/3
Part 1 of 3
(a) The price that generates the maximum profit is $

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

A monthly cell phone charge is $45. Each long-distance minute used costs $0.30. The total monthly charge for Sarah’s cell phone bill is $60. Her monthly cell phone cost is represented by the function f(x)=45+0.30xfx=45+0.30x where xx represents the number of long-distance minutes used. If Sarah’s cell phone bill is $60, how many long-distance minutes did she use?
The business manager of a company that produces in-ground outdoor spas determines that the cost (in dollars) of producing x spas in thousands of dollars is given by C(x)=0.04x² +4.1x+100 Find the average rate of change in cost if production is changed from 10 in-ground outdoor spas to 11 in-ground outdoor spas. $149,940 $145,000 $4,994 o $4,940
A soccer ball is kicked from the ground with an intitial upward velocity of 90 feet per second. The equation h(t)= -16t2+90t gives the height h of the ball after t seconds. Give the domain and range of the function.
A reservoir had 30 gallons of water in it. Then water was added to the A reservoir at a rate of 6 gallons per second. The function y= 6t + 30 describes the relationship between numbers of gallons,y, and the number of seconds water was added ,t. Select all ordered pairs that correspond to input output pairs for the solution
Suppose f(x)=−x2+6x+40 models the number of app downloads for a newly released app in a year from January to December. If x -values represent the months of the year and y-values represent the downloads, what month had the most downloads? The most downloads occurred in April. The most downloads occurred in September. The most downloads occurred in October. The most downloads occurred in March.