The revenue from the sale of a product is, in dollars, R = 1500x + 3000(2x + 3)−1 − 1000 where x is the number of units sold. Find the marginal revenue when 100 units are sold. (Round your answer to two decimal places.)

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.005x° +0.07x + 15x +…

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Q: The​ profit, in​ dollars, from the sale of x compact disc players is P(x)=x^3−9x^2+9x+8. Find the…

A: For this problem, first we need to find mariginal cost from given profit function.

Q: If total revenue is R = 50Q - 2Q2. At what value of Q will marginal revenue be 18?

A: Value of Q

Q: The marginal cost function in a company is given by C' = 70 - 0.7x where x is the number of units…

A: Please see the below picture for detailed solution.

Q: Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x - 0.1x2. a. Find…

A: Consider the given cost function.

Q: A car wash firm calculates that its daily profit (in dollars) depends on the number n of workers it…

A: Given: A car wash firm calculates its daily profit in the formula of P=400n-0.5n2 To find the…

Q: A company has two plants that produce the same lawn mower. If x1 and x2 are the numbers of units…

A: Given Revenue , R=300 x1+300 x2-5x22-5x12-10x1 x2-5x22x1=5 and x2=8a Marginal Revenue ,∂R∂x1…

Q: 4. Suppose that a wholesaler expects that his monthly revenue, in dollars, for small television sets…

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.002q - 0.7q+620. The…

A: Given that Marginal Cost MC(q) = 0.002 q2 - 0.7q + 620 We have to find the cost function by…

Q: The cost of producing x items of a product is given by…

A: Given Cost function Cx=0.87x+900.87x+80-400 To find Marginal Cost when x=66

Q: A retail company estimates that if it spends x thousands of dollars on advertising during the year,…

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x +…

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Q: Given Cost and Revenue functions C(q) = q° - 11q + 55q + 5000 and R(q) = - 3q +2600q, what is the…

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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: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x³ + 0.07x + 15x…

A: According to question given that Monthly cost of producing x chairs is…

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

A: Given : P'(x)=1.70+0.10x-0.0012x2

Q: 2. If the marginal profit is P'(x) = x3 – 2x + 100 and the profit for selling 10 items is $2000,…

A: given marginal profit euation isP'(x)=x3-2x+100profit for selling 10 items is $2000to find profit…

Q: (d) Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x – 0.12². (i)…

A: Solution

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: The marginal cost of manufacturing a certain product is 13 + 0.036x. If the cost of producing 250…

A: We have to find the cost of producing 400 units. The given initial value problem is C'=13+0.036x…

Q: The revenue for a product is R(x) = −0.004x²+ 21x − 6200 and the cost is C(x) = 0.02x + 38, for x…

A: The solution of given problem is given as follows :

Q: Suppose that a wholesaler expects that his monthly revenue, in dollars, for an electronic game will…

A: Given: Monthly revenue Rx=130x-0.11x2

Q: Suppose that, in a monopoly situation, the equation is P (X) = 6-0.2 (4x-x ^ 2), where P (X) dollars…

A: Given that P(x)=6-0.24x-x2 P(x) is the price of X items. C(x)=2x+100 Where c(x) is the selling…

Q: Suppose that a wholesaler expects that his monthly revenue, in dollars, for an electronic game will…

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Q: If the revenue function for a certain item is R(x) = 20x – 0.25x², what is the marginal revenue for…

A: Given : If the revenue function for a certain item is Rx=20x–0.25x2 To find : the marginal revenue…

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: Suppose that the cost to a manufacturer of producing x units of a certain motorcycle is given by…

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Q: A sales representative for a company that produces blenders can sell x units of their deluxe model…

A: To marginal profit is the derivative of the profit function, which is based on the cost function and…

Q: The profit in dollars from the sale of x expensive watches is P(x)= 0.09x-3x+4x°4 -4400. Find the…

A: Given: P(x)=0.09x2-3x+4x0.4-4400

Q: Suppose that the cost in dollars) for a company to produce x items is C(x) = 15, 000 + 2x + 0.02x ^…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.007x° +0.07x + 15x +…

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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: (1) The revenue for a product is R(x) = -0.004x² + 21x - 6200 and the cost is C(x) = 0.02x + 38, for…

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Q: 3) An air conditioning company determines that the marginal cost, in dollars, for producing the xth…

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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: (d) Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x – 0.1x². (i)…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: The given function is Cx=0.002x3+0.07x2+19x+700. d) The actual additional monthly cost of increasing…

Q: The marginal cost of producing x tablet computers is                         c' (x) = 120 - 0.06x +…

A: Given that the marginal cost of producing “x” tablet computers is, C'x=120-0.06x+0.00001x2 To…

Q: The total revenue in Php received from the sale of x units of children toy is given by R(x) = 3x² +…

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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: (1) The revenue for a product is R(x) = −0.004x2 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38,…

A: The solution is given below

Q: Suppose that the dollar cost of producing x appliances is ​c(x)=1300+90x−0.3x2. a. Find the average…

A: Given ​c(x)=1300+90x−0.3x2 is cost of producing x appliances.

Q: The revenue R (in dollars) from renting x apartments can be modeled by R = 2x(600 + 34x − x2). (a)…

A: R(x)=2x (600+34x-x2)R(x)=1200x+68x2-2x3(a)Marginal revenue= R'(x)Differentiate R(x)…

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: We have to find the marginal profit.

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° + 0.07x² + 16x +…

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Q: ​C(x)=2500+80x−0.2x2.   ​(A) Find the exact cost of producing the 51st food processor. ​(B) Use the…

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