The marginal revenue for a new calculator is given by MR = 60,000 −  20,000 (10 + x)2  where x represents hundreds of calculators and revenue is in dollars. Find the total revenue function,  R(x),  for these calculators. R(x) =

Q: For example, an antiderivative for y = 2x is x² + 5 because (x² + 5) = 2x = y. However, the…

A: Part a,Given,           Antiderivative of fx=2x2+8x+17.

Q: The cost of manufacturing snow blowers is given by C(x) = 350 + 6x - 0.4x². А. Find the marginal…

A: Solution B )average cost = ΔC / ΔX  = (350 + 6x - 0.4x2)/ x = 350/x + 6 - 0.4x at  x = 25 = 350/ 25…

Q: the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.2x + 35,  find…

A: Topic:- application of integration

Q: A company finds that the marginal profit, in dollars per foot, from drilling a well that is x feet…

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Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) = 7x3…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 240 +0.6x and R(x) =…

A: Recall: Profit Function, P(x)=R(x)-C(x) ; where , C(x) is the cost function and R(x) is the Revenue…

Q: The production costs per week for producing x night vision goggles is given by C (x) = 500 + 350a –…

A: Just I have used the given cost function and find its derivative at x =300 gives the required…

Q: The marginal revenue function of a good is given by MR = 275 – x – 0.3x². Find the percent of…

A: Given: The marginal revenue function MR=275-x-0.3x2. The production is increased from 10 units to 20…

Q: A company has determined that its price-demand function for its sale of its product is given by…

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Q: The profit function for x units produced and sold is given by P(x) = -x2 + 48x - 210.  Determine the…

A: Find derivative of the polynomial with respect to x

Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

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Q: A construction company has determined its price-demand function for a certain product is given by…

A: A construction company has determined its price-demand function for a certain product(i.e., price…

Q: A textbook company estimates that the weekly marginal cost associated with producing x textbooks is…

A: topic - differential equations

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x – 3x + 229, where x…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

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Q: For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include…

A: Obtain the derivative of the function k(x) as follows.

Q: The daily cost (in dollars) of producing Samsung VR headsets is given by C(x) = 2500 + 700x² + 5x3…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 294 + 0.4x and R(x) = 3x -…

A: Here C(x)=294+0.4x  and R(x)=3x-0.01x2We have to find the marginal profit function…

Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: Suppose that the revenue function for a certain product is given by R(x) = 19(2x + 1)-1 + 38x – 19…

A:

Q: The cost of producing x bags of dog food is given by C(x) = 300 + 0 + / 100 + 25x -x where 0sxs5000.…

A: GIven, The cost of producing x bags of dog food is given by, Cx=300+100+25x2-x where 0≤x≤5000 Now we…

Q: Find the marginal profit function if cost and revenue are given by ​C(x)=291+0.6x and…

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Q: A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars…

A: Given:  A small tie shop finds that at a sales level of x tiles per day its marginal profit is MPx…

Q: The marginal revenue function for a product is given by: MR(x) = 40e0.5x + 400 %3D If the revenue…

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Q: If the marginal revenue function of a firm r/ (x) = 5 + 3x – x 2 and r(6) = 112, find the total…

A: Given  Marginal revenue function  MR=r'x=5+3x−x2   and   r(6) = 112

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

A:

Q: Given the marginal revenue R’ = 215-2x, find the revenue function and demand function. Use the fact…

A: Here, the marginal revenue is R'=215-2x

Q: Suppose that the total revenue function for a commodity is:                        R(x) = 25x –…

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Q: A product can be produced at a total cost of C'(x) = 500 + 100x2 + x³ dollars, where x is the number…

A: Given that; Cost function and revenue function.

Q: A clothing company determines that its marginal​ cost, in dollars per​ dress, is given by the…

A: Ans: $ 2160 Find the function C(x), putting the value for cost of 220 units/dresses calculate the…

Q: when you have f(x) = x^2 + 7x +10 / x^2 - 7x +6 what is the average rate of change of the function…

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Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: Suppose that the revenue function for the manufacturer of a lawnmower is R(x) = 700x – 0.5x² , where…

A: Given,           Revenue function, R(x) =700x - 0.5x2  and where x is the number of lawnmovers sold.

Q: For the fast- food restaurant, the revenue function R(x)=60000x-x^2/20000 and cost function…

A: Given that

Q: Find the marginal profit function if cost and revenue are given by C(x) = 157 +0.7x and R(x) = 8x…

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Q: The management of Ditton Industries has determined that the daily marginal revenue function…

A: (a) Find the daily total revenue realized from the sale of 220 units of the toaster oven as…

Q: The revenue function for a sound system is R(x) = 400x – x2 dollars %3D where x denotes the number…

A: R(x)=400x-x2 To find the marginal revenue we take derivative R'(x)=400-2x Expression for the…

Q: Suppose for a company that produces x amount of articles, the function of the marginal cost is given…

A: Given that   C'(X)=15x^2 -360x + 3510

Q: Find the revenue function for a purse manufacturer if the marginal revenue, in dollars, is given by…

A: Solve the differential equation by separation of variables.

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where a…

A: Given : C(x) = 0.01x² - 3x + 229 and        R(x)  = 429 - 2x

Q: suppose that the dollar cost of producing x appliances is c(x)=600+130x-0.3x2 a) find the average…

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Q: For k(x)=(−3x2+2x−3)(x−2)(−x+3), find the derivative of k(x) using the product rule.

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Q: Suppose a company has fixed costs of $12,300 and variable cost per unit of $0.20 x+128 dollars,…

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Q: For k(x)=(3x+2)(−x+2)(−3x2+x+1), find the derivative of k(x) using the product rule.

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Q: A clothing company determines that its marginal​ cost, in dollars per​ dress, is given by the…

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Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

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Q: A coffee company has found that the marginal​ cost, in dollars per​ pound, of the coffee it roasts…

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Q: A manufacturer has determined that the revenue from the sale of xx cordless telephones is given by…

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