(i) The price p, in dollars, of a certain commodity and the quantity x sold obey the demand equation p = −1/5x + 200 where 0 ≤ x ≤ 1000Suppose that the cost C, in dollars, of producing x units is C =√x/10 + 400Assuming that all items produced are sold, find the cost C as a function of the price p

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000.…

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: The cost in dollars of making x terms is given by the function c(x) = 10x + 500. a. The fixed cost…

A: Given,            The cost in dollars of making x terms is given by the function C(x)=10x+500.

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: We have to  express the price p as a function of the demand x and find the domain of this…

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A:

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: Demand function is Revenue function is Now, cost function is Therefore, profit function is…

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is…

Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

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Q: (i) The price p, in dollars, of a certain commodity and the quantity x sold obey the demandequation…

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Q: A phone company charges $0.39 per minute for the first 10 minutes of a long-distance phone call and…

A: NOTE: Refresh your page if you can't see any equations. . A phone company charges $0.39 per minute…

Q: The demand function for a certain model of a ten-speed bicycle is given by p= D(r) = -0.001z + 250…

A:

Q: The demand function for a certain brand of CD is given by  p = -0.01x^2 - 0.3x +47  where p is the…

A: The formula to calculate demand function is p=-0.01x2-0.3x+47.  Take p¯ as fixed unit market price.…

Q: The monthly demand function for a product sold by a monopoly is p = 2,344 - x? 2 dollars, and the…

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Q: The demand function p=D(x)=-0.1x+32 and the total cost function C(x)=1.6x2+9.8x+63 for a particular…

A: Given:        Demand function p=D(x)=−0.1x+32 and cost function C(x)=1.6x2+9.8x+63

Q: The price-demand equation and the cost function for the production of table saws are given,…

A:

Q: The price-demand equation and the cost function for the production of table saws are given,…

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Q: the demand function for a tablet is given b y the model p=200-16x where p is measured in dollars per…

A: Given demand function model: p=200-16x Cost in producing each tablet = $50 Profit = $125 million…

Q: (i) The price p, in dollars, of a certain commodity and the quantity x sold obey the demand equation…

A:

Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

A:

Q: Q1 (i) If the demand curve for a particular commodity is p = −0.09x + 51 and the total cost function…

A:

Q: The demand function for a certain model of a ten-speed bicycle is given by p= D(z) = -0.001z + 250…

A:

Q: The price p in dollars, of a certain commodity and the quantity x sold obey the demand equation…

A: The price p in dollars, of a certain commodity and the quantity x sold obey the demand equation

Q: The demand for a particular item is given by the function D(a) 1, 300- 3x2 Find the consumer's…

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Q: A nursery has determined that the demand in June for potted plants is The cost of growing x plants…

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Q: If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x) =…

A:

Q: A firm has monthly average costs, in dollars, given by C= 41,000 + 300 + x where x is the number of…

A: *to find:- (i) number of units (x) that gives maximum profit. (ii) maximum profit.

Q: (i) If the demand curve for a particular commodity is p = −0.09x + 51 and the total cost function…

A: Given:

Q: Q2 (i) The price p, in dollars, of a certain commodity and the quantity x sold obey the demand…

A:

Q: The price-demand equation and the cost function for the production of table saws are given,…

A:

Q: Q1 (i) If the demand function for a particular commodity is p = −0.09x + 51 and  the total cost…

A:

Q: (3) The demand function for a tablet is given by the model p= 200-16x where p is measured tablet and…

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

Q: If the demand curve for a particular commodity is p=0,09x+51 and the total cost function…

A:

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: We have given, The demand function p = 60 − 0.02x and the cost function C = 5000 + 40x − 0.04x2.

Q: Q1(i) If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function…

A:

Q: Please see attached image

A: Part (i): The price p = -(1/5) x + 200, where p is the price in dollars, and x is the quantity of…

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

A: GivenRevenue functionR(x)=50x-0.1x2And Cost functionC(x)=5x+30NowProfit function is given by…

Q: 45 The quantity demanded per month of an item is related to the unit price by the demand equation…

A: The demand equation is given by px =450.04x2+1 To evaluate: The number of items sold to maximize the…

Q: The price p,in dollars,of a certain commodity and the quantity x sold obey the demand equation p =…

A: Consider the provided equations,

Q: The demand function P= D(x)= -0.3x+ 33 and the total cost function C) =1.2x +9.2x+65 for a…

A: The demand function is given by                   D(x)=-0.3x+33 The total cost function is given by…

Q: A company that sells memory chips for computers established the price-demand and cost functions as:…

A:

Q: (i) If the demand curve for a particular commodity is p = −0.09x + 51 and the total cost function…

A:

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,800 - dollars, and…

A: The given functions are: C(x)=3020x+2x2R(x)=5800x-1xx3

Q: 2) At a small clothing company, the estimated cost function for producing a new line of jeans is…

A:

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: Given the price-demand function  x=6000-20p  where x is the number of saws that can be solved at…

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: We have to plot the cost function and revenue function on the same coordinate system. Hence we have…

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The price-demand equation is x=8000-20p. The cost function for the production is Cx=80,000+50x.

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: Topic:- price and demand function and it's domain note:- as per our guideline if more than one…

Q: The price-demand equation and the cost function for the production of table saws are given,…

A:

Q: The monthly demand function for x units of a product sold by a monopoly is p= 7000 -x² dollars per…

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

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Q: (i) If the demand curve for a particular commodity is p = −0.09x + 51 and the total cost function…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.