A company is planning to manufacture PDAS (personal digital assistants). The fixed cost will be $400,000 and it will cost $20 to produce each PDA. Each PDA will be sold for $100. a. Write the cost function, C, of producing x PDAS. b. Write the revenue function, R, from the sale of x PDAS. c. Write the profit function, P, from producing and selling x PDAS. d. Determine the break-even point. Describe what this means.

A company is planning to manufacture PDAS (personal digital assistants). The fixed cost will be $400,000 and it will cost $20 to produce each PDA. Each PDA will be sold for $100. a. Write the cost function, C, of producing x PDAS. b. Write the revenue function, R, from the sale of x PDAS. c. Write the profit function, P, from producing and selling x PDAS. d. Determine the break-even point. Describe what this means.

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: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per…

A: Let fixed amount per surgery = $y and an amount per minute for use. = $x One patient was charged…

Q: Suppose that a computer software company produces and sells a new operating system at a cost of $55…

A: The cost of new operating system is $55 per copy The fixed cost is $15,000 per month. If the number…

Q: Based on data from the Kelley Blue Book, the value of a certain car decreases approximately…

Q: Tyler plans to purchase at least 2 pounds of chicken salad that costs $4.82 per pound. Based on…

A: Please see the below answer for detailed solution.

Q: The table shows the monthly revenue of a business rising exponentially since it opened an online…

A: Question - b. Write an equation to represent the revenue, R, as a function of months, m, since the…

Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

Q: business owner is monitoring the production cost of making laptop computers. It costs $7,000 to…

A: Using given information we can identify the nature of the model.

Q: A factory has a monthly operation cost of $280. The graph attached shows the total cost, C, for…

A: As per the question, we will be finding the linear function satisfying the graph. We are given the…

Q: steel company produced two types of machine dies, part A and part B. The company makes a $2.00…

A: Given, The number of part A produced in a week = x The number of part B produced in a…

Q: A furniture manufacturer builds tables. The cost for materials and labor to build a kitchen table is…

A: The objective function which represents the monthly profit for producing and selling x no. of…

Q: ASK YOUR TEACHE Nationwide Communications offers its customers a monthly plan for text messaging.…

Q: A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22 tennis…

A: Given: A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22…

Q: Drug C and Drug R are two different brands of a drug used to treat a disorder. a. Use the fact that…

A: Given that: For Drug C: y=2.9, x=0 and y=10.7,x=10. For Drug R: y=8, x=0 and y=5.2,x=10. To find…

Q: . If you were to graph two quadratic functions on the same xy-plane, how many intersection points…

A: Given: Two quadratic equation. The given demand function is fx=0.02x-1002 and the given supply…

Question

A company is planning to manufacture PDAS (personal
digital assistants). The fixed cost will be $400,000 and it will
cost $20 to produce each PDA. Each PDA will be sold for
$100.
a. Write the cost function, C, of producing x PDAS.
b. Write the revenue function, R, from the sale of x PDAS.
c. Write the profit function, P, from producing and selling
x PDAS.
d. Determine the break-even point. Describe what this
means.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

You sell candy at an event to make money. When candy are sold for $1.10 per bag, approximately 625 bags are sold at each event. You tried to raise the price to $1.35 and found that the quantity demanded dropped to 525 bags. The startup cost was $500 and the cost to you per bag of peanuts is $0.50. Assume that the demand function is linear and write a function that models the profit from selling x bags of peanuts at an event. What number of bags and what price per bag will get you a maximum profit?
A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.
A manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part monthly. The company sells each electronic part for $26 per item. Write a function that models the total profit
Each horse you own eats 4 bales of hay per month. Each bale of hay costs $15. a. Create a function called f whose input is the number of horses you own and whose output is the number of bales of hay eaten per month. Use x as your input variable. b. Create a function called g whose input is the number of bales of hay eaten per month and whose output is the total cost. Use x as your input variable. c. Create a function called / whose input is the number of horses you own and whose output is the total cost. Use x as your input variable. d. If you own 5 horses, use your functions f, g and h to find out how many bales of hay are eaten per month and how much money this will cost. e. Draw a diagram of the three functions f, g, and h. Show the input and output of each function, and their relationship.
The marching band at a local high school is selling candy bars. The profits will go toward the purchase of new marching band uniforms. They are interested in knowing what price they should charge to obtain the maximum profit. The candy bars are donated by a local retailer so they know that if they charge $0 they will make $0 profit. They also collect data from other marching bands who have sold candy bars in the past. The data they collected is shown in the table below. Price 0.00 0.45 0.60 0.75 1.00 1.25 1.40 1.50 Profit 0.00 $720 $900 $990 $845 $625 $560 $300 What factors might influence how much is to be made from the candy sale? Give at least two. What happens to the profit as the price of each candy bar increases? Explain possible reasons for your observations. How do you suppose the other bands determined the price at which to sell each candy bar? Do any data values seem unusual? Yes or…