The cost of producing x items of a product is given by C(x)=(0.87x+90)(0.87x+80)−400C(x)=(0.87x+90)(0.87x+80)−400. Find the marginal cost when x=66x=66. Round your answer to the nearest cent.

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: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x² dollars to manufacture…

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Q: A manufacturer estimates that the cost of producing x items is C(x) = 250 + 3x + 0.001x2 a. Find the…

A: A manufacturer estimates that the cost of producing x items is…

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Marginal cost is the rate of change of total cost, i.e, c'(x).

Q: Assume that it costs a company approximately C(x) = 529,000 + 160x + 0.001x2 dollars to manufacture…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is…

A: Given that for a certain ice cream company indicates that if the price per cup of ice cream is…

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: If TC=0.01x²+5x+100 is the cost function for x items of a product, at what level of production, x is…

A: As per the question we have to minimise the cost function Tc and find its minimum value as well as…

Q: It costs $4800 to produce 1295 items and it costs $4830 to produce 1305 items. What is the…

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Q: Suppose the cost of producing x lawn mowers is C1x2= -0.02x2 + 400x + 5000. a. Determine the average…

A: Given: The cost of producing lawnmowers is given as:

Q: The total cost (in dollars) of producing x college textbooks is C(x) = 40x+100,000. (a) What are the…

A: Given that  C(x)=40x+100000 To find the following

Q: the marginal profit function for a companyy is  MP(x) = -30x + 920 and P(8) = 6500 What is the…

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Q: The total cost of producing x calculators is given by C(x) =4000+10X+0.05x2. The revenue from…

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Q: The marginal cost at a production level of x is given by c`(x)=85+375/x². find the cost of producing…

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Q: The cost (in pesos) of producing x corkboards is given by x? + 20x + 500, while the price (in pesos)…

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Q: The marginal cost of producing the xth box of DVDS is 11 + and the fixed cost is $100,000. Find the…

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Q: A firm in a competitive market must sell its product for $250 per unit. The cost unit (per month) is…

A: Please see the explanation below

Q: The marginal cost of producing the xth box of lightbulbs is 10-x/30000, and the fixed cost is…

A: Given,         The marginal cost of producing the xth box of lightbulbs is 10-x30000 , and the fixed…

Q: It costs  $4829 to produce 1295 items and it costs 4849 to produce  1305 items. What is the…

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Q: 9. If the cost of manufacturing x items is C(x) = x³ + 20x² + 90x + 15. Find the marginal cost…

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Q: (c). Suppose the total revenue function for a blender is R(x)=86x –0.09x² dollars where x is the…

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 +…

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Q: . If the profit for a product is given by P(x) = 20Vx +1– 22x – 22 thousand dollars, what is the…

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Q: A company estimates that the marginal cost (in dollars per item) of producing x items is C'(x)= 1.99…

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Q: The marginal profit of a product can be modeled by DP/dx = −.06x + 8, where P is the profit of…

A: Solve the differential equation by separation of variable and use initial value to find final…

Q: Suppose that for x > 1000, the dollar cost of producing x video cam- eras is C(x) = 500x – 0.003x² +…

A: given that C(x)=500x-0.003x2+10-8x3

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

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Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x². Find…

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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: The weekly cost of producing x key chains is given by the function C(x)=2000+25x+0.1x^2 . Find the…

A: To find the marginal average cost function

Q: Find the total cost of producing x items if fixed costs are $500 and marginal cost is 6x MC= 10+ x2…

A: We know that marginal cost function is the derivative of the total cost function, so the total cost…

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.84 −…

A: Marginal cost is the derivative of total cost.  Therefore total cost C(x) can be obtained by…

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 marginal cost per day of producing x gadgets is C'(x)=3.15+0.004x dollars per gadget. What is…

A: to find:- total cost of production of 800 gadgets.

Q: (c). Suppose that the revenue in dollars from the sale of x units of a product is given by = 7000xe¯…

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Q: If the total cost to produce x units of an item is C(x) = 12x + 7 dollars, what is the marginal…

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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: 5. The production costs, in dollars, per day of producing x widgets is given by, C (x) = 400 – 3x +…

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Q: Suppose the dollar cost of producing xx video cameras is C(x)=500x−0.003x^2+10^-8*x^3 Estimate the…

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Q: how do you find the cost in dollars of producing x tacos using:C(x)= -0.00.75x(squared) + 1.5x +1000…

A: To determine the values of the required economic parameters using the given function.

Q: A manufacturer of digital cameras estimates that when X hundred camera are produced, the total…

A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

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: A cost function is given by C(x)=−5(2x−100)^6. What is the marginal cost when x=51?

A: Given:- C(x) = -5(2x-100)6  To find:- Marginal cost when x = 51

Q: The marginal cost of producing the xth box of light bulbs is 9-x/30000 and the fixed cost is…

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Q: When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2 – 230.4t + 9600 If the…

A: Given:- When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2–230.4t + 9600 To…

Q: The marginal cost C (in dollars) of manufacturing x cell phones (in thousands)is given by C(x) = 5x2…

A: Given: The marginal cost C (in dollars) of manufacturing x cell phones (in thousands) is given…

Q: The cost (in rupees) of producing x pillows is given by x² + 20x + 500, while the price (in rupees)…

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Q: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x2 dollars to manufacture…

A: Average cost is the mean value of the total cost Marginal cost is the value by which the cost tends…

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

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