4. The cost of producing x units of a product is modeled by C = 100 + 25x – 120lnx, x 2 1 - a. Find the average cost function C b. Find the minimum average cost. Hint: Once you find the minimum number of units, x, plug back into the average cost function.

Q: 12. Given the following price-demand and cost functions for a product: p(x)= 10-x 1000 C(x)=5000+2x…

A:

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A: Differentiate w.r.t to x

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A: Consider the given functions as Cx=300x+2500 And Rx=350x

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A:

Q: 3. The marginal cost of producing x tablet computers is C'(x) = 120 – 0.06x + 0.00001a? (a) What is…

A: We have given the marginal cost of producing x tablet computers is C'(x)=120-0.06x+0.00001x2

Q: he given cost and demand functions, find the production level that will maximize profit. (Round your…

A: Given query is to find the production level to maximize the profit.

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Q: Suppose that the demand function for a product is given by the formulap = 2000 – 5q dollars, where q…

A: Here demand function is given need to find maximize revenue and at what value

Q: Given cost function C(q) = q° - 125q + 26000q, what is the minimum average cost? It would be $per…

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Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: Suppose the demand for a product is given by 2p3q = 500p2 where p is price in dollars and q is the…

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Q: Suppose a company has fixed costs of $46,800 and variable cost per unit of 2/5 x + 333 dollars,…

A: Solution:-

Q: manufacturer believes that the cost function C(x) = 3/2 x^2 + 72x +860 approximates the dollar cost…

A: MC=dC(x) /dx

Q: Suppose that for a product in a competitive market the demand function is p = 1200 - 2x and the…

A: Given: Demand(p)= 1200 - 2x Supply(p) = 200 + 2x Cost(C(x)) = 12000x +50 + x.

Q: Given demand function p=100–6x and cost function C=240+15x² , find: Minimum Average Cost (the…

A: Given: The demand function is:  p=100-6x Cost function is:  C(x)=240+15x2

Q: Suppose the cost function for a product is given by C(x)=.002x^3+9x+6912. Find the production level…

A: Consider the given cost function of a product is,

Q: Suppose a company has fixed costs of $38,400 and variable cost per unit of 4/9x + 444 dollars, where…

A: Given Data: The fixed cost of the company is: FC=$38400 The variable cost per unit is: VC=49x+444…

Q: Suppose the demand for a product is given by 2p3q=500,000+500p2 where p is price in dollars and q is…

A:

Q: Suppose a company has fixed costs of $56,000 and variable cost per unit of 4/9 x + 222 dollars,…

A:

Q: b) Suppose that the total revenue function is given by R(x) = 46x, and that the total cost function…

A:

Q: Consider a rectangle in the xy-plane, with corners at (0, 0), (a, 0), (0, b), and (a, b). If (a, b)…

A: Given A rectangle in the xy-plane, with corners at (0, 0), (a, 0), (0, b), and (a, b) and (a, b)…

Q: It has been determined that the cost of producing x units of a certain item is 6x + 860. The demand…

A:

Q: Suppose the supply and demand functions for a product are given by 6p-q=180 and (p+20)q=30,000…

A:

Q: If the total cost function for a product is C(x) = 810 + 0.1x dollars, producing how many units, x,…

A: Given: Total Cost Function for a product is Cx=810+0.1x2 dollars To Find: How many units, x will…

Q: 6. Suppose that for x2 1000, the dollar cost of producing a video cameras is C(x) = 500x - 0.003²…

A:

Q: 16. Find the number of units x, measured in thousands, that will minimize the average cost function…

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Q: Consider the following. C = x3 − 6x2 + 12x Use the cost function to find the production level at…

A: The given cost function for x units is

Q: Find the minimum AVERAGE cost, if the total cost function is given by C(x)=3x2+7x+7500 O A. 420 O B.…

A: Given equation:-    C(x)=3x2+7x+7500 Then the Average cost is A= C(x)x C(x)=3x2x+7xx+7500x C(x) =…

Q: Suppose that the cost function for a product is given by C(x)=0.003x3+7x+10,368. Find the production…

A: First, find the function for minimum average cost. Let x be the number of units produced.

Q: The demand function for a product is modeled by p = 54e −0.00002x, where p is the price per unit (in…

A: Given that the demand function is p=54e-0.00002x where p is the price per unit and x is number of…

Q: Suppose that the cost function for a product is given by C(x) = 0.002x° + 9x+6,741. Find the…

A: Given cost function: C(x) = 0.002x3 + 9x + 6,741 We have to find the production level (x).

Q: 29. Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is…

A:

Q: 2 9. For the cost function C(x)= 500x+.01x+400 a) find the average cost function and find the demand…

A: Cost function C(x) = 500x + 0.01x2 + 400   Average cost function Ax = Total cost functionNumber of…

Q: 2. Given the cost function C(x) =140 +0.2x, use marginal cost to approximate the cost of producing…

A: To find the marginal cost function we find C'(x)

Q: Find the cost function if the marginal cost function is given by C′(x)=x2/3+2 and 8 units cost…

A:

Q: 2. Suppose that the marginal revenue for a product is MR = 900 and the marginal cost is MC = 30Vx +…

A:

Q: (b) If C(r) = 16,000 + 200x + in dollars, find (i) the cost, average cost, and marginal cost at a…

A: i) Given:       Cx=16,000+200x+4x32    Cost at a production level of 1000 units:…

Q: Suppose that cost for a particular product is calculated using the linear equation: Cost = 25 + 3D.…

A:

Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $74 per edition…

A: Given: Fixed cost per edition = $ 74            Print & distribution cost per copy = $ 0.41…

Q: d. Suppose the cost function for x units of a commodity is given by C (x) = 81000 + 200x + 6x³7²…

A: Given,         The cost function for x units of a commodity is given by…

Q: Find the producer surplus for a commodity with a demand function p = 12 / x + 1 and a supply…

A: Given data- We have given the demand and supply functions. Demand function p = 12 / x + 1  Supply…

Q: The total cost of producing w phone sets per day at Cutting Edge Electronics plant is $( ½ w^2 + 70w…

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Q: Given a cost function C(x) = 20 + 10x + 5x², calculate the average cost at a productions level of x…

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Q: 4) Find the production level that minimizes the average cost per unit for the cost function C = 400…

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Q: Given cost function C(q) = q - 135q + 25000q, what is the minimum average cost? It would be $ per…

A: minimum value

Q: Suppose that the cost function for a commodity is C(x) = 60 + x2  dollars. (a) Find the marginal…

A: To evaluate marginal cost using differentiation

Q: Suppose that C(x)=x² – 30x+15000 is the average cost of manufacturing x items. Find a production…

A:

Q: A group of management students are creating a business plan for their proposed shoe brand Sole…

A: Marginal profit is the profit earned by a firm or individual when one additional or marginal unit is…