   Chapter 11.2, Problem 1E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1–4, for each cost function, find the marginal cost at the given production level x, and state the units of measurement. (All costs are in dollars.) [HINT: See Example 1.] C ( x ) = 10 , 000 + 5 x − 0.0001 x 2 ; x = 1 , 000

To determine

To calculate: The marginal cost of cost function C(x)=10000+5x0.0001x2 dollars at the production level x=1000 and state the units of measurements.

Explanation

Given Information:

The cost function is C(x)=10000+5x0.0001x2 and the production level is x=1000.

Formula used:

Sum and Difference rule of derivative, [f±g](x)=f(x)±g(x).

Constant multiple rule is f(cx)=cf(x) where c is constant.

Power rule for finding the derivative of function, y=xn is dydx=nxn1, where n is any constant.

Derivative of constant is 0.

Calculation:

Consider the provided function, C(x)=10000+5x0.0001x2.

Apply sum and difference rule of derivative to the function C(x)=10000+5x0.0001x2 with respect to x,

C(x)=ddx(1000)+ddx(5x)ddx(0

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 