A soap factory estimates that the weekly profit (in dollars) from the production and sale of x cases of soap is given by P(x) = −5400 + 9.1x − 0.0014x^2 and currently 1000 cases are produced and sold per week. Use the marginal profit to estimate the increase in profit if the store produces and sells one additional case of soap per week.

Q: The marginal cost of producing the xth box of light bulbs is 5 + x2 /1,000 dollars. Determine how…

A: We are given that, marginal cost of producing the xth box of light bulbs is 5+x21000 dollars.

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Find the…

A: To find the marginal revenue we find dr/dx

Q: The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their…

A: Given, Cost function, C(x)=100+39x-0.07x2

Q: A book publisher estimates that the marginal cost ofproducing a particular title (in dollars/book)…

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 10,000 +…

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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: Suppose the total cost (in dollars) for a product is given by `C(x)=200x+20\ln(x)` where `x` is the…

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Q: A firm has the​ marginal-demand function D′(x)=−1200x25−x2​, where​ D(x) is the number of units…

A: Given that: Marginal-demand function = D'(x) = -1200x25-x2 Initial condition: D(4) = 16000 Find the…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 27, find…

A: MR=-0.2x+27 Marginal revenue is the derivative of the total revenue.

Q: what is the marginal revenue function at x=1?

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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: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A: Given the marginal cost function, M(x)=f(x)=x2-2x+3.

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 a product has a daily marginal revenue of 46 dollars per unit, and a daily marginal cost of…

A: Given,  Marginal Cost, MC = 30 + 1/2x marginal Revenue, MR = $46 Daily Fixed Cost = $200

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.65 -…

A: Given,           A company estimates that the marginal cost in dollars per item of producing…

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

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Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

A:

Q: customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat…

A:

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 23, find…

A:

Q: A company has a weekly marginal profit function given by P(x) = 31a – 0.38x2 - 261 dollars per item…

A: The marginal Profit function is given as follows. Px=31x-0.38x2-261 Marginal…

Q: The weekly profit model has roots at x = -52.789, x = 47.555, and x = 202.944, rounded to 3 decimal…

A: If a ,b ,c are roots of the function f(x) = px3 +qx2 +rx +s then function can be written as  f(x) =…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 49, find…

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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 marginal revenue function of a firm r'(x) = 5+ 3x – x² and r (6) = 112, find the total…

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

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Q: A company estimates that the marginal cost (in dollars per item) of producing a items is 1.92…

A:

Q: A company has found that the profit (in dollars) from the sale of x ovens is given byP(x) = −0.02x3…

A: we will calculate profit  from 55th oven sold .for this we will use different technique

Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100–0.5x…

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Q: Suppose that the revenue in dollars from the sale of x campers is given by R(x) = 68,000x +…

A: Given Revenue in dollars from the sale of x campers is Rx=68,000x+48,00010+x-1-8000 To find the…

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 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: the marginal cost function associated with producing x widgets is given by C'(x)= -0.02x+50 where…

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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: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 30x + 0.8x2 −…

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Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° +0.07x + 14x +…

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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: At a certain factory, the marginal cost is 3(q - 4)2 dollars per unit when the level of production…

A: Consider the given marginal cost function as M(q) = 3(q-4)2 Let C(q) denote the total cost of…

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: 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: A company estimated that the daily revenue( in dollars) from the sale of x cookies is given by…

A: Marginal revenue is the rate of change of revenue at a given volume.

Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100−0.5x…

A:

Q: Let’s assume that in Kansas, a family farmer sells wheat in a perfectly competitive market. After…

A: Given After increasing the production of wheat from 220 bushels to 240 bushels, the total revenue of…

Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Given cost function is Cx=32,000+60x and revenue function is Rx=130x−0.001x2. We have to find…

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: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

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Q: Suppose that for a company manufacturing bluetooth and wireless neadsets, the cost and revenue…

A: