Question
A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by
-0.0007x
s = 50000 – 380000e
The current weekly advertising costs are 2000 dollars and these costs are increasing at the rate of 300 dollars per week. Find the
current rate of change of sales.
Expand
Transcribed Image Text

A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by -0.0007x s = 50000 – 380000e The current weekly advertising costs are 2000 dollars and these costs are increasing at the rate of 300 dollars per week. Find the current rate of change of sales.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Applications of Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. G(x) = cos...

A: Click to see the answer

Q: 1) The region is defined by y= e", y = 0, x 0, x=1. Rotate the region about the: a) x-axis b) y-axis...

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: derive 8t sin t (d) s %3D cos t t5

A: Click to see the answer

Q: Please solve angle ABC when a = 11, b = 19, c = 23 In degrees Angle A =                   Angle B = ...

A: Click to see the answer

Q: Consider the following limit.  lim x→4 (4x + 4)  Find the limit L. L =   (a) Find the largest δ &...

A: Click to see the answer

Q: To measure the speed of a current, scientists place a paddle wheel in the stream and observe the rat...

A: Given radius= 3.2 m So,  

Q: find the inverse Laplace transforms of the functions 17. F(s) s(8 – 3) 18. F(s) : s(s + 5)

A: Click to see the answer

Q: g(x) = /1+ csc(tº) + ln(8x² – 7) (h) k(t) = |1+ tan7 48 (). (1)F(t) = t® tan-1(16 E)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: The market research department of the Better Baby Buggy Co. predicts that the demand equation for it...

A: Click to see the answer

Q: Use f(x) = 4x – 2 and g(x) = 5 – x² to evaluate the expression. (a) (fo g)(-2) (b) (g o n(-2)

A: Click to see the answer

Q: Hi, I need help with this step-by-step please thank you.

A: Click to see the answer

Q: If m s f(x) s M for a sxsb, where m is the absolute minimum and M is the absolute maximum of f on th...

A: Click to see the answer

Q: Calculus Question

A: The change in the value of the painting in any year t = V'(t)

Q: Integrate: ∫ (3x^2+x−8)/(x^3+4x) dx

A: Click to see the answer

Q: find the inverse Laplace transforms of the functions in Problem. F(s) = s-3/2

A: Click to see the answer

Q: dx xlnx3

A: Click to see the answer

Q: 4. Sketch the region in the first quadrant bounded by the curves x = 0, y = Va? + 9, and y = 5. (a) ...

A: Given region is bounded by the below curves in the first quadrant. Region bounded by above region i...

Q: |A sector of a circle of radius 22 mi has an area of 484 mi². Find the central angle of the sector. ...

A: Click to see the answer

Q: Q.2 A. (i) Find the area of the region bounded by the curves y = x² - 4x + 4 and y = -x² + 20 .

A: Click to see the answer

Q: Calculus Question

A: We have given

Q: Calculus Question

A: Click to see the answer

Q: 8x2 — 6х + 8 х? — 16х + 64 e horizontal asymptotes and the vertical asymptotes of f(x). If there are...

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: Use any test of your choice (p-series, Limit Comparison, Ratio test, etc.) to determine whether a gi...

A: Click to see the answer

Q: Find the following:

A: Click to see the answer

Q: Evaluate the indefinite integral. (Use C for the constant of integration.)   ecos(9t) sin(9t) d...

A: Given integral:

Q: Calculus Question

A: f(x) = sin-1(3x-1) + ln(5x4+3)

Q: a) Convert the point whose polar coordinates are (8, 3π/4) to rectangular coordinates. (x, y) =  ...

A: Click to see the answer

Q: Using interval notation specify the solution to the followng inequality x² 6) (x-4) > 0 (2x+

A: Click to see the answer

Q: Express the limit as a definite integral on the given interval. lim n - 00 cos(x}) Дх, [2л, 5л] Xi i...

A: Click to see the answer

Q: Calculate the value of the limit, if it exists, or show that it does not exist.

A: Click to see the answer

Q: given a demand equation p=(900+31x-x2)/2000 and a cost equation C=600+3x, find the marginal profit w...

A: We have given

Q: 10 If f is continuous and f(x) dx = -15, evaluate f(5x) dx. %3D

A: Click to see the answer

Q: Evaluate the indefinite integral. (Use C for the constant of integration.)   etan(38x) sec2(38x...

A: Click to see the answer

Q: What is the difference between the velocity and speed of an object moving in a straight line? Choose...

A: Velocity is a vector quantity whereas speed is a scalar quantity.

Q: A more detailed version of Theorem 1 says that, if the function f(x, y) is continuous near the point...

A: Click to see the answer

Q: Calculus Question

A: Force on the spring, F = kx where k = spring constant and x is the displacement from the mean positi...