a. Answer The value of given equation for x = 10 is C ( 10 ) = 1532.1 and for x = 100 is C ( 100 ) = 2100 . Explanation Given: Consider the function C ( x ) = 1500 + 3 x + 0.02 x 2 + 0.0001 x 3 . Calculation: Plug x = 10 in C ( x ) = 1500 + 3 x + 0.02 x 2 + 0.0001 x 3 C ( 10 ) = 1500 + 3 ( 10 ) + 0.02 ( 10 ) 2 + 0.0001 ( 10 ) 3. C ( 10 ) = 1500 + 30 + 2 + .1 C ( 10 ) = 1532.1 C ( 100 ) = 1500 + 3 ( 100 ) + 0.02 ( 100 ) 2 + 0.0001 ( 100 ) 3 = 1500 + 300 + 200 + 100 = 2100 Thus, the value of given equation for x = 10 is C ( 10 ) = 1532.1 and for x = 100 is C ( 100 ) = 2100 . b. To determine Representation of the answers obtained in part a. Answer The representation of part a answers are the cost to produce 10 yards of fabric and 100 yards of fabric respectively Explanation The answers represent the cost to produce 10 yards of fabric and 100 yards of fabric respectively c. To determine Find the value of the fixed cost. Answer The number represents C ( 0 ) = 1500 is the fixed cost. Explanation Given: C ( x ) = 1500 + 3 x + 0.02 x 2 + 0.0001 x 3 Plug x = 0 in C ( x ) = 1500 + 3 x + 0.02 x 2 + 0.0001 x 3 C ( 0 ) = 1500 + 3 ( 0 ) + 0.02 ( 0 ) 2 + 0.0001 ( 0 ) 3. C ( 0 ) = 1500 Thus the number represents C ( 0 ) = 1500 is the fixed cost.

Precalculus: Mathematics for Calculus - 6th Edition

6th Edition

ISBN: 9780840068071

Author: Stewart, James, Redlin, Lothar, Watson, Saleem

Publisher: Cengage Learning

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Question

Chapter 2.1, Problem 69E

To determine

To find the function C(x)=1500+3x+0.02x2+0.0001x3 for values of x .

Expert Solution

Answer to Problem 69E

The value of given equation for x=10 is C(10)=1532.1

and for x=100 is C(100)=2100 .

Explanation of Solution

Given: Consider the function C(x)=1500+3x+0.02x2+0.0001x3 .

Calculation:

Plug x=10 in C(x)=1500+3x+0.02x2+0.0001x3

C(10)=1500+3(10)+0.02(10)2+0.0001(10)3.C(10)=1500+30+2+.1C(10)=1532.1 C(100)=1500+3(100)+0.02(100)2+0.0001(100)3 =1500+300+200+100 =2100

Thus, the value of given equation for x=10 is C(10)=1532.1

and for x=100 is C(100)=2100 .

To determine

Representation of the answers obtained in part a.

Expert Solution

Answer to Problem 69E

The representation of part a answers are the cost to produce 10 yards of fabric and 100 yards of fabric respectively

Explanation of Solution

The answers represent the cost to produce 10 yards of fabric and 100 yards of fabric respectively

To determine

Find the value of the fixed cost.

Expert Solution

Answer to Problem 69E

The number represents C(0)=1500 is the fixed cost.

Explanation of Solution

Given: C(x)=1500+3x+0.02x2+0.0001x3

Plug x=0 in C(x)=1500+3x+0.02x2+0.0001x3

C(0)=1500+3(0)+0.02(0)2+0.0001(0)3.C(0)=1500

Thus the number represents C(0)=1500 is the fixed cost.

Chapter 2.1, Problem 68E

Chapter 2.1, Problem 70E

Chapter 2 Solutions

Precalculus: Mathematics for Calculus - 6th Edition

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