Purchase Solution

Revenue Functions

Not what you're looking for?

Ask Custom Question

3. Let be a function that models the temperature change in a certain valley from 6:00 PM one day to 8:00 AM the following morning. Let the origin represent the temperature at 6:00 pm.

________________ ________________

a. Find, and then sketch, the first and second derivatives of on the grids above. Label the axes and mark the scales (unit size) on each axis. Use the same domains in each case.

b. What point(s) on the first derivative graph correspond to the turning points (the max and the min) on the original function? State the x values of the points. What clock time(s) do the x values represent, to the nearest minute?

x =

Clock time(s):
c. What point(s) on the second derivative graph correspond to the change in concavity (the inflection point) of the function? Hint: where is the first derivative a max or a min? State the x value(s) of the point(s).

x = ____________________________

d. What is the significance of the inflection point? To answer this, simply fill in the blank and circle the appropriate answers: "The inflection point is where the rate of change is at a ____________________. Thus the temperature was increasing/decreasing at its greatest/slowest rate."
(circle one) (circle one)

4. The marginal revenue function for a popular software company (see sample of their work to the right) is where x is sales in hundreds and marginal revenue is in thousands of dollars.

a. [30 pts] Find the original revenue function R(x) using the antiderivative. Assume that when the company first started, at "time zero", the revenue was zero.

b) What is the revenue from sales that total 150 hundred units?

Attachments
Purchase this Solution

Solution Summary

Revenue Functions are investigated. The solution is detailed and well presented.

Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.