Find the marginal profit for selling x units. (The profit is measured in dollars.) P = − 1/15x3 + 9,000x2 − 150x − 225,000 dP/dx=____ Dollars per unit

Q: The cost of producing x units of a certain commodity is cx) = 1000 +5.70x + .7x2. What is the…

A:

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

A:

Q: 3x + 9. on the interval [-2,3] Find the average rate of change of g(x)

A:

Q: 3. Find the average rate of change of f(x) = 3x - 2, from 2 to 4.

A: Given: f(x) = 3x2 -2 To find: The average rate of change of given function from 2 to 4.

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: 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: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

A:

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: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(5x + 3)−1 − 1000 where x is…

A:

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

A:

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

A:

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

A:

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: The time rate of change of a rabbit population P is proportional to the square root of P. At time t…

A:

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

A:

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

A:

Q: 5. Find the instantaneous rate of change of the value function V in terms of t and N(t).

A: To find the instantaneous rate of change of the value function V in terms of N we will find dVdN…

Q: The cost in pesos of producing x units of a certain commodity is C (x) = 5000 + 10x + 2 x². What is…

A:

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: 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: 65. f(x) = 5x – 2 (a) Find the average rate of change from 1 to 3. (b) Find an equation of the…

A: The given function  is  f(x)=5x-2

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: 1. Find the average rate of change Where x 1 and x 2 y= f(x) -4 -1 10 Where x = 2 and x =5 -3 -4 -5…

A:

Q: Find the Profit Function (P(x)) in thousands over a one year period? P(x) 12e 2х + 3 dx

A: Given,

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

A:

Q: The average cost of producing x units of a product is C = 500e*/500 dollars per unit. What is the…

A: To find out the marginal cost.

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

A:

Q: 3. The point P(x, y) is moving along the curve y = x? -"x 10 +5x in such a way that the rate of…

A: Given: The point Px,y is moving along the curve y=x2-103x32+5x is such a way that the rate of change…

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

A:

Q: A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the…

A:

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…

A:

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…

A:

Q: g(x) = 6/x+1 ; x = 0, x = h How do I find the net change and average rate of change between the…

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 of the (n)th box of flash cards sold is 100e-0.001n dollars. Find the revenue…

A: The revenue earned by selling the nth box of flash card is R'n=100e-0.001n Here the boxes are…

Q: the box that minimize the amount of material used. st, find a formula for the surface area of the…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: during a chemical reaction substance A is converted into substance B at a rate that is proportional…

A: A is converted into substance B at a rate that is proportional to the square of the amount of A. Let…

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

A:

Q: In Example 6 in this section, we were given fx) = 3x? + 2x + 11 and found rx) = 6x + 2. (a) Find the…

A:

Q: For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is…

A: The given equation is T=C2-D3D2

Q: g(x)=-5x+2 find average rate of change of the function between x=a and x=a+h

A: Average rate of change of a function x=m to x=n is given as:

Q: 400x When a company produces and sells x thousand units per week, its total weekly profit is P…

A:

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: 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: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x…

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is…

Q: DETAILS Find the indicated derivative. dp for p= q + 2 49-5 bp dp d +2 P dq [ 4q -5'q

A: