The function C(r) = 15r² – 50 %3D gives cost in dollars of producing r items. What is the marginal cost of increasing r by 1 item from the current production level of r = 3?

Q: The cost of producing 5-galln water bottles is given by c(q)=0.005q2 +2q+1000 If 2000 5-gallon water…

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Q: Given the revenue function in Riyal Oman per unit is; R (x) = -2x2 + 80x, and the cost function in…

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

A: Value of Q

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: Find the marginal profit function if cost and revenue are given by C(x)= 158 + 0.9x and R(x)= 6x…

A: We have to find the marginal profit if cost and revenue are given by C(x)=158+0.9x and…

Q: The marginal average cost function is given below. 4, 000, 000 AC (#): %3D Where AC(r) is the…

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Q: The marginal revenue of a company is given by R'(x) = 100 + 20x + 3x², where x is amount of units…

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Q: Approximate the total profit

A: In this question, we have to find the total profit when 180 inrolled. we have marginal profit given…

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 228 + 0.7x and R(x) = 4x –…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 255 + 0.3x and R(x) =…

A: Given: C(x)= 255+0.3x R(x)= 7x- 0.01x2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 150 + 0.5x and R(x) = 2x -…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 154 + 0.3x and R(x) = 2x–…

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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: A factory selling cell phones has a marginal cost function C(x) = 0.01a? number of cell phones, and…

A: First graph the curve and their intersection point. In the graph we can see clearly that…

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by dC 675…

A: Given Data The equation of the marginal cost is dC//dx=675-0.5x.   Integrate the equation of…

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: 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: A rival company manufactures fuel tanks for cars using a different production technique. The total…

A: The cost function (in dollars) for producing the fuel tanks is given by: C(x)=10000+90x-0.05x2,…

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

A: topic - differential equations

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: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Answer

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Given query is to find a cost fo production of 620 cards.

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

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 232 + 0.7x and R(x) = 4x -…

A: Given: C(x) = 232+0.7x R(x)= 4x-0.06x2

Q: The marginal cost of a company is given by f'(x) = 3x + 2. Find the cost function, f (x), when the…

A: Marginal cost function is f'x=3x+2. Now cost function is, fx=∫f'x dx⇒fx=∫3x+2 dx⇒fx=3·x22+2x+C…

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

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

Q: Suppose the marginal propensity to consume is given by: DC/DY=.03- .2/Square root of (y), (in…

A: We have given dCdy= 0.03 - 0.2y.

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 43, find…

A: Given query is to find the total revenue function.

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

A: Given revenue = 50Q - 2Q2 We have to find the value of Q if revenue is 18

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: 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: Find the marginal profit function if cost and revenue are given by C(x) = 170 +0.5x and R(x) = 2x -…

A: To differentiate a function we use the following differentiation rules: Sum rule Difference rule…

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

A: We know that marginal revenue is the slope of the total revenue. So to find marginal revenue, we…

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

A: We can make it easier for you

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: 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: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: Given: Cost function=Cx=184+0.3xRevenue function=Rx=4x-0.05x2 To find Marginal Profit function=P'(x)

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: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

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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 company has a marginal revenue function, R'(q) = -4q + 40 where q is the quantity of products…

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Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by…

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