Chapter 9.1, Problem 57E

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

Sales and training The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours x of training of its sales staff, according to S ( x ) = 4 x + 30 + x 4 , 4 ≤ x ≤ 100 (a) Find lim x → 4 + S ( x ) .(b) Find lim x → 100 − S ( x ) .

(a)

To determine

To calculate: The value of the limit limx4+S(x) where S(x)=4x+30+x4.

Explanation

Given Information:

The limit is limxâ†’4+S(x).

The average monthly sales volume (in thousands of dollars) for a firm depend on the number of hours x of training of its sale staff, according to S(x)=4x+30+x4.

Formula used:

For a polynomial function f(x)=anxn+anâˆ’1xnâˆ’1+â‹¯+a1x+a0 where anâ‰ 0 and n is a positive integer,

limxâ†’cf(x)=f(c)

This is defined for all values of c

(b)

To determine

To calculate: The value of the limit limx100S(x) where S(x)=4x+30+x4.

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