Find the marginal profit for producing x units. P = -0.15x2 + 8000x – 1,050,000 dP dollars per unit %D dx

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 s xs 60) where x is the…

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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: Suppose the supply of x units of a product at price p dollars per unit is given by p = 20 + 40…

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Q: The marginal revenue of the xth box of flash cards sold is 300e−0.002x dollars per box. Find the…

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Q: Consider a company that has fixed costs of $8,300 and a marginal cost of $28 per item. What is the…

A: A company that has a fixed costs of $8,300 and a marginal cost of $28 per item.

Q: f(x) =x3+1x−2 fromx=−1 to x= 3 average rate of change

A: The given function is: fx=x3+1x-2 The interval is -1, 3

Q: Locate the relative extrema of y = ln(x2 + 2x + 3).

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Q: Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

A: Proceed as shown below

Q: 4x+2 find average rate of change from x=-1 t x=1

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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: None

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Q: A company has a weekly marginal profit function given by P'(x) = 40x – 0.38a? – 251 dollars per item…

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Q: 2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: We will find out the required value.

Q: S(2) = 32+-4 ant line to f(2) (ak.a, the average rate of change of ) from input val

A: Please refer to the image below

Q: A​ company's total​ cost, in millions of​ dollars, is given by ​C(t)=120−30e^−t where t=time in…

A: Given that, the company's total cost function isCt=120-30e-t. and t represents time in years.  In…

Q: The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 41x + 2. Weekly production…

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Q: 5. Calculate the average rate of change for the function ft) = 2x'+5 over the interva -1 < x < 2.

A: We have to find average rate of change

Q: osts per week for producing z night vision goggles is given by C (x) = 50 %3D roducing the 301st…

A: We have to choose the correct answer from the given options according to the given information

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: Given: The marginal revenue for selling the xth box of light bulbs is given by: 10+0.001x2e-x100 The…

Q: Find the marginal revenue for producing x units. R = 70x – x2 dR dollars per unit %D dx

A: Given: the revenue function                R = 70x-x2

Q: The marginal profit obtained by selling x dollars of automobile insurance can be modelled by dP…

A: We will use the method of integration to calculate the change in profit.

Q: 4x Find the average rate of change of f(x) = 2Vx+ 5 9 between x = 4 and x = 25

A: topic- average rate of change of function

Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

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Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Use the formulas below to evaluate dP and ∆P . dP=P'(x)dx∆P=P(x2)-P(x1) Here, dP is the approximate…

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Find the marginal cost for producing x units. ( C = 100(9 + 3/x) dC dollars per unit dx II

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Q: 4x Find the average rate of change of f(x) = 2Vx+ 9 between x = = 25. 4 and x =

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Q: Find the marginal cost for producing x units. C = 245,000 + 9700x dC dollars per unit %3D dx

A: Marginal Cost: The marginal cost is the derivative of the cost function. If the cost function is…

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = −0.2x + 250, what is the…

A: The marginal revenue (in dollars per units) for a month is given by-

Q: Find the marginal profit for producing x units. ( P = -0.3x³ + 10x² – 168.45x - 3000 dP dollars per…

A: Marginal profit is the measure of the increment of the profit function for unit increment of x, at a…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.6x + 41,…

A: Revenue fuction=∫MRdx +c

Q: The revenue (in dollars) from the sale of x units of a certain product can be described by R(x) =…

A: R(x) = 100x - 0.09x² So, R'(x) = 100 - 0.09(2x) = 100 - 0.18x &amp;, R''(x) = 0 - 0.18 = - 0.18

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = −0.6x + 35, find…

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Q: he revenue (in dollars) from the sale of x units of a certain product can be described by R(x) =…

A: Given that:Rx=100x-0.07x2To find R''x

Q: marginal revenue

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Q: The resale value R​ (in dollars) of a company car after t years is estimated to be given by…

A:

Q: a manufacturer marginal revenue function of dr/dx=2000/√(4000-x) . if x is in rupees find the change…

A: Given: drdx=20004000-x

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: The marginal revenue is given by 10+0.001x2e-x100 Therefore the total revenue is given by…

Q: A new computer costs $2000 today and decreases in value at a constant rate of $500 per year. Denote…

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Q: 4x Find the average rate of change of f(x) = 2/x+ 9 between x = 4 and x = 25.

A: Average rate of change of function f(x) between a and b is given by f(b)-f(a)b-a Here f(x) = 2✓x +…

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

A: Average marginal cost is the ratio of marginal cost and q

Q: 15г 10 X

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Q: With an initial deposit of 400 dollars, the balance in a bank account after t years is…

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Q: The marginal revenue of the xth box of flash cards sold is 300e-0.005x dollars per box. Find the…

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Q: Find the marginal revenue for producing x units. 50( 40x – x³/2) R = dR dollars per unit dx

A: The marginal Revenue R=5040x-x32 The marginal Revenue for producing x units = dRdx

Q: C(x) = 15,000 + 30xe*/400. Find the marginal cost when 400 units are produced. (Round your answer to…

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Q: P(x) = -400x + 6,800x – 12,000 dollars. At what rate is profit changing with respect to the level of…

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Q: Find the average rate of change of f(x) = 9x from 1/2 to 1.

A: Find the average rate of change of f(x) = 9x from 1/2 to 1

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

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.