   Chapter 14.3, Problem 1E Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

The cost (in dollars) of manufacturing one item is given by C ( x , y ) =   30   + 3 x + 5 y where x is the cost of 1 hour of labor and y is the cost of1 pound of material.(a) If the hourly cost of labor is $20 and the material costs$3 per pound, what is the cost of manufacturing one of these items?(b) Find and interpret the partial derivative of C with respect to x.

(a)

To determine

To calculate: The cost of manufacturing one of the items if the hourly cost of labor is $20 and the material costs$3 per round. The cost (in dollars) of manufacturing one item is given by C(x,y)=30+3x+5y where x is the cost of 1 hour of labor and y is the cost of 1 pound of material.

Explanation

Given Information:

The cost (in dollars) of manufacturing one item is given by C(x,y)=30+3x+5y where x is the cost of 1 hour of labor and y is the cost of 1 pound of material. Also, the hourly cost of labor is $20 and the material costs$3 per round.

Calculation:

Consider the problem,

The cost (in dollars) of manufacturing one item is given by C(x,y)=30+3x+5y where x is the cost of 1 hour of labor and y is the cost of 1 pound of material.

The provided function is C(x,y)=30+3x+5y.

Also, the hourly cost of labor is $20 and the material costs$3 per round.

Thus, x=20,y=3

(b)

To determine

To calculate: The partial derivative of C with respect to x. The cost (in dollars) of manufacturing one item is given by C(x,y)=30+3x+5y where x is the cost of 1 hour of labor and y is the cost of 1 pound of material. Interpret the answer.

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

Factoring Trinomials Factor the trinomial. 70. x2 + 4x 5

Precalculus: Mathematics for Calculus (Standalone Book)

The gradient vector field for is:

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: The function graphed at the right is one-to-one.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 