Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.75x2 + 1,000x 1,450,000 dP dollars per unit dx

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: 4x2-x average rate of change of f (x) = over the interval [1,6]

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Q: Find the average rate of change of g(x) = - 4x° + 3 from %3D -2 to x = 3. %3D

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Q: 16. Find the average rate of change for y = x² –9x+20 from x=5 to x=7. А. З В. -3 С. 1/3 D. -1/3 E.…

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Q: Find the average rate of change for the function over the given interval. y = 2x3 - 5x2 + 5 between…

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Q: The average cost of producing x units of a product is C= 300e dollars per unit. What is the marginal…

A: The objective is to find marginal cost when 300 units are produced.

Q: The marginal average cost function is given below. 4, 000, 000 AC (#): %3D Where AC(r) is 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)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

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

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

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Q: The average cost of producing x units of a product is c= 900e*/900 dollars per unit. What is the…

A: The given function is C=900ex/900 Here, the cost function is C(x) The marginal cost is,…

Q: Find the change in cost C for the given marginal. Assume that the number of units x increases by 5…

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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: Find the average rate of change for the function over the given interval. y= 9x +4x+3 between x= -6…

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Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: We have to find rate of climb of airplane at t=180 sec.

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: 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 of g(x) 2x 5 from x – 1 to r = 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: The marginal revenue for x units of a product is given by R' (x) = 22 – 0.81nx dollars per unit,…

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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: 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: 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: 1Find the average rate of change * the interval [-1,4] for the function over The function y = (x –…

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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 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: 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: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and…

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

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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: f(x)=x^3/2 Find average rate of change over interval [4,25]

A: The given function is

Q: A company's marginal profit is given by m(x)=-2x + 300 dollars per item, where x is the number of…

A: The average of any function f(x) in the interval [a, b] is given by:

Q: Find the average rate of change of h(x) = x + 4x + 11 on the interval -1, 3]. O 15 60 O 51 -15 -5

A: Consider the following function: hx=x3+4x2+11 Average rate of change of hx on the interval -1,3:…

Q: The marginal revenue for x units of a product is given by R' (x) = 35 – 0.2lnx dollars per unit,…

A: Given : R'(x) = 35-0.2lnxR1 = $35.20

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: Find the average rate of change of the function from x = 1 to x = 2 10 f (x) = - Enter the exact…

A: Given:-f(x)=-10x2To find : average rate change of f(x) from x=1 to x=2

Q: Let ​h(x)=x^2−8x.   ​(a) Find the average rate of change from 4 to 7. ​(b) Find an equation of the…

A: Average rate change and secan line problem....

Q: 3. State the slope of the tangent to y = ln (2x + 1) at x = 1 a) = b) = - In3 d) In3

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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: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

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