Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.35x2 + 3,000x – 1,150,000 dP dollars per unit dx

Q: 7x ar Find the rate of change of total profit, in dollars, with respect to time where R(x) dx C(x) =…

A: Given that: R(x)=7xC(x)=0.06x2+0.6x+80

Q: Find the rate of change of the fucntion f(t)=4t^2-5t-3,[x,x+h

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Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Average rate of change of f(x) on 3 ≤x ≤4 is f(4)-f(3)4-3

Q: Q6. The price received from sales in OMR per unit is given by p =x² +x+1. i. the revenue function,…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: iven a function f(x)=e2x−ex+1, calculate the relative rate of change when x=3. Give your answer to…

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Q: Find the indicated marginal cost at the given production level. dc ,x=40, y= 10 dy c= 9x+0.7y+2y +…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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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: Water is leaking from a pipe and the volume,V litres is decresing at the rate (6-t) litres per per…

A: Express the rate of decrease of volume V with respect to time t, as follows: The negative sign…

Q: f(x)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

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Q: where x is the number of units sold. Find his marginal revenue and interpret it when the quantity…

A: Given: The monthly revenue of electronic game is given by R(x) = 130x -0.11x2,      0 ≤ x ≤ 800…

Q: Find dx/dp for the demand function. x=400/In(p^2+8)   (a) dx/dp =  (b) Interpret this rate of…

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Q: (a) A manufacturer's marginal revenue function is: dr 100 + 50g – 3q². If r is in omani rials, find…

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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: A particle that moves along a straight line has velocity v(t) = t²e-5t meters per second after t…

A: Given a particle that moves along a straight line has velocity v(t)=t2e-5t

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 rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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

A: Given: Differentiate ‘P’ with respect to ‘x’

Q: A particle that moves along a straight line has velocity v(t) = t²e-4t meters per second after t…

A: Integrae with Givenlimit

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) The marginal profit for a product is modeled by dP -0.0002x + 14. 2 dx Apply the integration to…

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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: 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 total cost C(x) (in dollars) incurred by Aloha Company in manufacturing x surfboards a day is…

A: Given that: Total cost, C(x)=-14x2+500x+140

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: 69. h(x) = x² – 2x (a) Find the average rate of change from 2 to 4. (b) Find an equation of the…

A: Given h(x)=x2-2x a) By using the formula Average rate=f(b)-f(a)b-a Here a=2, b=4 Thus, Average…

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: Find the average rate of change for the function over the given interval. y =x2 + 9x between x = 4…

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

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Q: rmine the marginal cost, m at is the approximate chang of producing q units of a ge

A: y=C+I+Gc=a+byI=e+dy so,

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: The velocity of a particle moving along a line is given by v(t)=t^3−4t^2 meters per second. Find the…

A: To find the displacement of the particle, velocity should be integrated w.r.t. time.

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 &, R''(x) = 0 - 0.18 = - 0.18

Q: The marginal revenue for the sale of a product can be modeled by dR/dx=0.04x+100/x+10. where x is…

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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: The revenue generated by the sale of x bicycles is given by R(x) = 10.00x Find the marginal revenue…

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Q: Find the average rate of change of g(r) = 5x - 1 from z - 2 to z = 1 =D1 =

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: marginal revenue

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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: how do you find the average rate of change for each function over the given interval? y = x2 + 2x…

A: To calculate the average rate of change of the function y=x2+2x between the limit x=1 and x=3. Now,…

Q: = 1520e0.011t people per year, then the increase in population over a 2-year period is If the birth…

A: Birth rate of popultion is  Death rate of population is

Q: The marginal revenue of the xth box of flash cards sold is 200e-0.003x 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: Use differentials to approximate the change in revenue (in dollars) corresponding to an increase in…

A: dydx represent  rate of change in y with respect to x . i.e. how much y changes when x increase by…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

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

A: