The total costs for a company are given by C(x) = 2000 + x 2 and the total revenues are given by R(x) = 90x. Find the break-even points. Then find the maximum profit (the actual dollar amount, not just the number of units).

The total costs for a company are given by C(x) = 2000 + x 2 and the total revenues are given by R(x) = 90x. Find the break-even points. Then find the maximum profit (the actual dollar amount, not just the number of units).

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.3: Solve Mixture Applications With Systems Of Equations

Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...

See similar textbooks

Related questions

Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1400x dollars and its…

Q: The total cost of producing a type of boat is given by C(x) = 17000 – 20x + 0.02x², where x is the…

A: Given:- The total cost of producing a type of boat is given by C(x) = 17000 - 20x + 0.02x2 where x…

Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1100x dollars and its…

Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

Q: The total cost function is given by C(x)=.055x2+5x+600. Find the number of units,x, that must be…

Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 2. y= 4x -432x…

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7.r dollars per…

A: Profit, pro(x) = xP - C(x)For maximum profit, put dpro(x)dx = 0

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Profit = Revenue - Cost P(x)=(1300x-x^2)-(600+1200x) P(x)=-x^2+100x-600

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 40x + 0.25x2 where C…

Q: The total cost of producing a type of boat is given by C(x)=27000−10x+0.02x^2, where x is the number…

Q: For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue…

Q: A firm can produce 500 units per week. If its total cost function is C = 400 + 1400x dollars and its…

Q: A firm can produce 500 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Explained below...

Q: A firm can produce 400 units per week. If its total cost function is C = 700 + 1500x dollars and its…

A: Given total cost function is C = 700 + 1500x dollars total revenue function R = 1900x − x2 dollars…

Q: 3 The profit P (in dollars) for a company that produces antivirus and system utilities software is…

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.75x2, where C…

Q: The total cost of producing a type of truck is given by C(x) = 24000 10x + 0.04x2, where x is the…

A: As per given by the question, The given equation is, Cx=24000-10x+0.04x2 Rewrite the equation,…

Q: A firm can produce 100 units per week. If its total cost function is C = 200 + 1400xdollars and its…

A: In this question given that c(x) = 200 + 1400x. And R(x) = 1500x - x2 . And we find maximum profit.…

Q: The total cost of producing a type of car is given by C(x) = 12000 – 10x + 0.05x², where x is the…

A: We need to find x where C(x) is minimum.

Q: The average daily costs, in dollars, of a large corporation with monopoly control in the market, are…

Q: a company that makes and sells digital cameras has found that the total weekly cost of producing…

A: We have given the cost function C(x)=0.5x^2-210x+26250

Q: For producing a certain product, if total costs can be represented by C(x) = 1600 +1500x, and the…

A: Break even point is the point where the revenue function and the cost function is equal. Find the…

Q: An appliance company determined that in order to sell X dishwashers, the price per dishwasher must…

Q: For the cost function C(x) = 720+4x + 0.02x² dollars and price function p(x) = 15 – 0.002x dollars,…

Q: The annual revenue and cost functions for a manufacturer of zip drives are approximately…

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x². The…

A: The monthly revenue R achieved by selling x wristwatches to be R(x)=75x-0.2x2The monthly cost of…

Q: Plz solve

A: Given: Where x is unit cost of chips, y is cost of unit of labor.

Q: The cost per day of running a hospital is 300,000 + 0.75x2 dollars, where x is the number of…

A: Given cost equation is: C(x) = 300000 + 0.75 x^2 For x = 200 we get, C(200) = 300000 + 0.75 (200^2)…

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

Q: A firm can produce only 1300 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: Given that, the monthly total cost is, C(x)=500+200x and the total revenue is, R(x)=450x-1100x2.…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Cost function , C(x) =150x + 12,000Revenue function R(x) = 240x

Q: Given the profit function P(x)= 500x - x^2/ 100, where x is the number of units sold. Find the x to…

Q: The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per…

Q: Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of units…

A: We will find out the required values.

Q: If the total cost for a product is given by C(x) = 900 + 25x and the total revenue is given by R(x)…

A: It is revenue problem.

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1400x dollars and…

Q: A firm can produce 300 units per week. If its total cost function is C = 400 + 1400x dollars and…

A: P(x) = R(x) - C(x) = 1700x - x² - 400 - 1400x = -x² + 300x - 400 Now take the derivative of the…

Q: If the total revenue in ABC company has given by R=-x^3+285x^2=45000x, where R is the measure in…

A: Topic:- Application of Derivative

Q: A firm can produce only 2900 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: Since, A firm can produce only 2900 units per month. where, the monthly total cost is given by C(x)…

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: Given that: P(x)=32x-0.2x2-200

Q: The total cost of producing a type of car is given by C(x) = 20000 - 50x + 0.2x2, where x is the…

A: We use second derivative test to find value of x where cost minimum

Q: A firm can produce 300 units per week. If its total cost function is C = 300 + 1200x dollars and its…

Q: For a certain company, the cost function for producing æ items is C (x) = 40 x + 200 and the revenue…

Q: For a certain company the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Since you have asked multiple part question, we will solve the first 3 part question for you as per…

Q: A firm can produce 500 units per week. If its total cost function is C = 200 + 1000x dollars and…

A: Given:

Q: The weekly revenue from the production and sale of x units of salt is given by R(x) = 172x – 2x²…

A: Given, Revenue function: Rx = 172x-2x2 Cost function : Cx = 2x2+148x+6 Where 0≤x≤10…

Q: (b) Show that if r (x) = 6x and c (x) = x – 6x² +15x are your revenue and cost functions, then the…

A: Answer for 2(b) b) Show that if r(x)=6x and c(x)=x3-6x2+15x are revenue and cost functions, then we…

Q: For the cost function C(x) = 8950 + 790x + 0.5x2 and the demand function p(x) = 2370, find the…

Q: Given the cost function C(x) = 0.85x + 35,000 and the revenue function R(x) = 1.55x, find the…

A: Since there are multiple questions the first question is being answered. Kindly repost if any…

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

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

Similar questions

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
How can you use the discriminant when you are graphing a quadratic function?
The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches 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.
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.
If you perform your break-even analysis and there is more than one solution, explain how you would determine which x-values are profit and which are not.
Solve the following application problem. A rectangular field is to be enclosed by fencing. In addition to the enclosing fence, another fence is to divide the field into two parts, running parallel to two sides. If 1,200 feet of fencing is available, find the maximum area that can be enclosed.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks 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 breakeven point means.