   Chapter 9, Problem 95RE ### 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

# Productivity Suppose the productivity of a worker (in units per hour) after x hours of training and time on the job is given by P ( x ) = 3 + 70 x 2 x 2 + 1000 (a) Find and interpret P(20).(b) Find and interpret P'(20).

(a)

To determine

To calculate: The value and interpretation of P(20), where P(x)=3+70x2x2+1000.

Explanation

Given Information:

The productivity of a worker is represented by the function, P(x)=3+70x2x2+1000, where x is the number of hours of training and time on the job, the worker had.

Formula used:

For a function of f(x)=x, the value of the function at x=a is

f(a)=a

Calculation:

Consider the provided function,

P(x)=3+70x2x2+1000

For x=20, substitute 20 for x</

(b)

To determine

To calculate: The value and interpretation of P(20), where P(x)=3+70x2x2+1000.

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