# To find the function C ( x ) = 1500 + 3 x + 0.02 x 2 + 0.0001 x 3 for values of x . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 69E

a.

To determine

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

Expert Solution

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 .

b.

To determine

### Representation of the answers obtained in part a.

Expert Solution

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

c.

To determine

### Find the value of the fixed cost.

Expert Solution

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.

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