The demand function for a tablet is given by the model p = 200 - 16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?

The demand function for a tablet is given by the model p = 200 - 16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

See similar textbooks

Related questions

Q: The weekly demand equation is given by where x is the number of thousands of units demanded weekly…

A: Concept: The rate represents the derivative with respect to t Also, 1000cent is equal to $1.60 The…

Q: The demand equation of a product and the total of production are given by p = 35 – 0.05x, C = 5x+…

A: To find the maximum profit.

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

A: We first find the profit function. P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(5 − 0.0003x)x-700 + 3x +…

Q: Suppose that a manufacturer has fixed daily costs of $5000 and variable costs of $80 for each item…

Q: The demand equation for a certain commodity is p = 1/12x2 - 10x + 300, 0 … x … 60. Find the value of…

A: We have, demand function given as px=112x2-10x+300 We know that, If x units of a product are sold at…

Q: Suppose a calculator manufacturer has the total cost function C(x) = 30x + 6200 and the total…

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

Q: A company producing stereos can produce a stereo for $112 on top of the company's annual fixed cost…

Q: For the cost function C(x) = 2950 +670 +0.8x2 and the demand function p(x) = 2010, find the…

A: Given: Cost Function C(x) = 2950 + 670x + 0.8x2 Demand Function p(x) = 2010 Find the production…

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A: Please refer to the image below.

Q: Suppose a company sells a certain product of x quantity and the price in dollars that modeled by the…

Q: If the demand function of a good is P =radical(1000 − 4Q) find the value of Q which maximises total…

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A: The extremum value of a real-valued function is determined through differential calculus. It is one…

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

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

A: Consider the given: Cx=40x+200Rx=-0.5x-1102+6050Find the…

Q: The demand curve for a swivel chair is given p=40000(3-q) dollars per swivel chair,where p is the…

Q: The demand equation for a toy is p= 140 – 3x and the cost function is C(x) = 60 + 60x – x, 0sxs 30.…

A: The cost function is:Cx=60+60x-x2The demand function is p=140-3x To determine the price that…

Q: The sales team at a company has determined that the demand equation for a new tablet is: p(x) =…

Q: The estimated monthly profit realizable by the Cannon Precision Instruments Corporation for…

Q: The demand function for a tablet is given by the model where p = 200 – 16x2 is measured in dollars…

A: Given- The demand function for a tablet is given by the model where p = 200 - 16x2 is measured in…

Q: A Calculator manufacturer's fixed daily costs are given by the function C(x)=750+5x-0.6x2 where x is…

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

Q: If total costs for a commodity are given by C(x) = 750 + 20x and total revenues are given by R(x) =…

A: Total costs, C(x)=750+20xTotal Revenue, R(x)=140x-x2

Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: The demand function for a tablet is given by the model where p=200-16x^2 is measured in dollars per…

A: Demand function in above question is written wrong. Values of p should be positive but in your case,…

Q: If total costs for a commodity are given by C(x) = 850 + 30x and total revenues are given by…

A: Given Total cost C(x) = 850 + 30x and Total revenue R(x) = 140x − x2

Q: Suppose a ceiling fan manufacturer has the total cost function C(x) = 55x + 840 and the total…

A: We use Profit=revenue - cost

Q: Find the number of units that must be produced and sold in order to yield the maximum profit given…

A: Consider the revenue and cost function

Q: A company manufactures and sells x pieces of a certain product per month. The monthly cost (in…

A: Given Cx=120000+100xp=300-x15 where 0≤x≤4000

Q: The demand function for a calculator is given by p = D(x) = 225 – 0.03x² dollars. Find the level of…

Q: Suppose a computer manufacturer has the total cost function C(x) = 78x + 3600 (in dollars) and the…

A: We have the total cost function Cx=78x+3600 The total revenue function is Rx=378x Here ,x is the…

Q: Derive the number of tablets that the company could sell to make the same amount of profit

Q: ) The demand function for a tablet is given by the model p=200 –16x² where p is measured dollars per…

Q: The demand function for a product is given by p+ 2x = 100 and the supply function is given by p- 3x…

Q: The revenue function of a company that sells its product at a fixed price of OMR 220 per unit and…

A: Solution

Q: A company producing stereos can produce a stereo for $112 on top of the company's annual fixed…

A: We have to find no. of items.

Q: Suppose a calculator manufacturer has the total-cost function C(x) = 36x + 7000 and the total…

Q: The demand Equation of a product and the total of production are given by p = 45-0.05x, C = 5x +…

A: Revenue= R= xp = x(45-0.05x)= 45x - 0.05x2 Cost=C=5x + 3000 So profit= P=R-C=45x - 0.05x2 - (5x +…

Q: A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x What is the…

A: Given that demand function is: p(x) = 20.9 - 1.6x we need to write the revenue function.

Q: he marketing department at XYZ Company has found that, when Product ABC is sold at a price of…

A: x=260-13p , p is the price of the product and x is the number of product sold. To Find: a) Find the…

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain…

A: Given- Demand equation 4p3x2=33,600 To determine- the rate at which sales are changing at a time…

Q: the total cost function for a product is C(x)= 300+8x+0.03x2 dollars. Find the minimum average cost

Q: The demand equation for a product is p = 55 − 0.0008x where p is the price per unit and x is the…

Q: Suppose that the demand per week for a laptop computer can be modeled by p = 25000 – V200x + 800…

A: Given: Demand per week for a laptop computer can be modeled by: p=25000-200x+800…

Q: A company manufactures and sells x digital cameras per week. The weekly demand equation is p = 400 -…

A: Given that, p=400-0.x and C(x)=2000+160x Equation of the Profit Function: P(x)=x(p)-C(x)…

Q: Suppose that the cost function C for a chemical lab to produce x liters sanitizer liquid per week is…

Q: The demand equation for a certain product is given by p = 134 – dollars) of the product and x is the…

Q: demand equation for a toy is p = 340 − 3x and the cost function is C(x) = 70 + 20x − x2, 0 ≤ x ≤ 10.…

A: Given query is to find the the value of x for the maximum profit. Demand equation: p=340-3x Cost…

Q: The demand for a video game can be modeled by p = 40 − 0.01x + 1 where x is the number of units…

A: given, p = 40 − 0.01x + 1 to find, demand (x), when price (p) = 37.55 dollar

Question

The demand function for a tablet is given by the model p = 200 - 16x²where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?

Expert Solution