Suppose total cost in dollars from the production of x printers is given by

C(x) = 0.0001x3 + 0.005x2 + 28x + 3000.

(a) Find the average rate of change of total cost when production changes from 100 to 200 printers.

(b) Find the average rate of change of total cost when production changes from 200 to 500 printers.

(c) Interpret the results from parts (a) and (b).

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

A: You must have idea about what is the basic difference between instantaneous and average rate of…

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given, The total cost in dollars from the production of x printers is given by…

Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

A: Click to see the answer

Q: Suppose to tal cost indollars from the production of X printers is given by C/X=.000xt o005x²+28X+…

A: Click to see the answer

Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =

A: the fiven function is f(x)=ln(x)

Q: How to find the rate of change of y=x^2-3 over the interval (-2,0)

A: Click to see the answer

Q: A bicyclist is riding on a path modeled by the function f(x) = 0.04(10x − x2), where x and f(x)…

A: given: A bicyclist is riding on a path modeled by the function fx=0.0410x-x2 where x and f(x) are…

Q: What is the difference of antidifferentiation and anti-derivative?

A: Click to see the answer

Q: A bicyclist is riding on a path modeled by the function f(x)=0.04(8x-x^2) , where x and f(x) are…

A: Given path functionfx=0.048x-x2

*question_answer*

Q: Find the rate of change of f (x) = x° at x = 2. %3D

A: Rate of change.

*question_answer*

Q: Find the average rate of change of h1x2 = x2 - 2x + 3:(a) From - 1 to 1(b) From 0 to 2(c) From 2 to…

A: Since it is known that the average rate of change can be calculated using the formula…

*question_answer*

Q: What is the average rate of change of f between x=3 and x=10

A: Click to see the answer

*question_answer*

Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

*question_answer*

Q: A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Click to see the answer

*question_answer*

Q: A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: given, profit on producing x thousand units, p(x)=-400x2+6800x-12000

*question_answer*

Q: If the instantaneous rate of change of ƒ1x2 with respect to x ispositive when x = 1, is ƒ increasing…

A: As instantaneous rate of change of f(x) that is f'(x) is positive means the function f(x) is…

*question_answer*

Q: Using a right-hand estimate, the rate of change of this function for the year 1830 is equal to [es].…

A: Click to see the answer

*question_answer*

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x at x = 3 ?

A: Given, The instantaneous rate of change of the function fx=5x at x=3.We know that,…

*question_answer*

Q: snip

A: The average rate of change is the slope of the linear function or it can be said that it is the…

*question_answer*

Q: What are three methods that can be used to estimate the instantaneous rate of change in g(x) at x =…

A: Click to see the answer

*question_answer*

Q: The slope of the line through the distinct points (x1, yı) and (x2, Y2) can be interpreted as the…

A: To Determine: the slope of the line through the distinct points can be interpreted as the rate of…

*question_answer*

Q: Estimate the average rate of change from x = 1 to x = 4. %3D

A: average rate of change of f(x) on a,b=f(b)-f(a)b-aHere a=1 , b=4From graph f(1) = 5 , f(4) = 4

*question_answer*

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

*question_answer*

Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

*question_answer*

Q: Suppose that the average yearly cost per item for producing x items of a business product is 81 If…

A: Click to see the answer

*question_answer*

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

A: Click to see the answer

*question_answer*

Q: Estimate the instantaneous rate of change at x=2

A: Please refer to the image below

*question_answer*

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

*question_answer*

Q: 9. Suppose that the marginal cost (i.e. the derivative of cost) is m(x) = 1000 - 2 where x…

A: Given, Marginal cost : mx = 1000.2-x Where x represent thousands of items produced . We have to…

*question_answer*

Q: 3- A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Click to see the answer

*question_answer*

Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

*question_answer*

Q: 3. A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Given that: Profit function: P(x)=-400x2+6800x-12000

*question_answer*

Q: A liquid form of antibiotic manufactured by a pharmaceutical firm is sold in bulk with a total…

A: Total production cost : C(x)=500,000+80x+0.003x2

*question_answer*

Q: 8) Sketch the function with the zeros (x+ 3) (x – 1)' (x = 2)and. the y-intercept of -6. After doing…

A: Click to see the answer

*question_answer*

Q: 8) Sketch the function with the zeros (x + 3) (x – 1) (x÷ 2)and. the y-intercept of -6. After doing…

A: Click to see the answer

*question_answer*

Q: The marginal cost per day of producing x gadgets is C'(x)=3.15+0.004x dollars per gadget. What is…

A: to find:- total cost of production of 800 gadgets.

*question_answer*

Q: The side length'of a square is decreasing at a rate of 5 kilometers per hour. At a certain instant,…

A: Click to see the answer

*question_answer*

Q: What is the max profit and number of units that must be produced and sold in order to yield th

A: Given that: Revenue function R(x)=3x Cost function, C(x)=0.1x2+0.9x+8

*question_answer*

Q: Suppose x and y are functions of third variable t. In the equation *-+) , what are the values of the…

A: Click to see the answer

*question_answer*

Q: 2. how does the knowledge of differentiability and continuity determine the derivative of functions?

A: A function is said to be differentiable if the derivative of a function exists at all points. The…

*question_answer*

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: To find the dp/ dt

*question_answer*

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Click to see the answer

*question_answer*

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Find the…

A: To find the marginal revenue we find dr/dx

*question_answer*

Q: A spherical balloon is being inflated at a constant rate, such that the volume of the balloon…

A: Click to see the answer

*question_answer*

Q: Find first and second derivative of y=x(x-4)^3

A: Given function is y=xx-43 To find derivative product rule is used duvdx=vdudx+udvdx So the first…

*question_answer*

Q: A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate…

A: According to question, Volume of water = 5 L, Mass of salt dissolved = 1 kg, Rate of Inlet of pure…

*question_answer*

Q: How can the derivative function definition be applied to this problem?

A: Click to see the answer

*question_answer*

Q: Suppose that a price-demand function is given by P(x)=100+10x−4x2. Calculate the marginal revenue…

A: Calculation:The price demand function is P(x) = 100+10x – 4 x^2.In order to calculate the marginal…

*question_answer*

Q: Find the rate of change of the function f(x) = x + 2/1 − 8x with respect to x when x = 1.

A: Click to see the answer

*question_answer*

Q: Find the rate of change of the function f(x) = x + 2 / 1 − 8x with respect to x when x = 1.

A: Click to see the answer