# To find C ( 1000 ) and C ( 10 , 000 ) . ### 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, Problem 7RE

a.

To determine

## To find C(1000) and C(10,000).

Expert Solution

The answer is C(1000)=34000 and C(10,000)=205,000.

### Explanation of Solution

Given:

The expression C(x) is given. C(x)=5000+30x0.001x2 .

Concept Used:

The concept of functions is used.

Calculation:

The expression of C is C(x)=5000+30x0.001x2

To find C (1000), put x=1000 in the above expression.

C(1000)=5000+30(1000)0.001(1000)2C(1000)=5000+300001000C(1000)=34,000

To find C (10000), put x=10000 in the above expression.

C(10000)=5000+30(10000)0.001(10000)2C(10000)=5000+300000100000C(10000)=205,000

Conclusion:

Hence, the answer is C(1000)=34000 and C(10,000)=205,000.

b.

To determine

### To write what the answers in part (a) represent.

Expert Solution

The C (1000) in the above part represent cost of printing 1000 copies of a mathematical textbooks.

The C (10000) in the above part represent cost of printing 10000 copies of a mathematical textbooks.

### Explanation of Solution

Given:

The expression C(x)=5000+30x0.001x2 is given.

Concept Used:

The concept of functions is used.

The expression C(x)=5000+30x0.001x2 represents the cost of printing a run of x copies of a certain mathematics textbook.

Conclusion:

So, C (1000) in the above part represent cost of printing 1000 copies of a mathematical textbooks and C (10000) in the represent cost of printing 10000 copies of a mathematical textbooks.

c.

To determine

### To find out C(0).

Expert Solution

The C (0) = 5000 which represents fixed cost.

### Explanation of Solution

Given:

The expression C(x)=5000+30x0.001x2 is given.

Concept Used:

The concept of functions is used.

Calculation:

To calculate C(0), put x=0,

C(0)=5000+30(0)0.001(0)2

C(0)=5000

Conclusion:

So, C (0) = 5000 which represents fixed cost.

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