A company is planning to manufacture snowboards. The fixed costs are$

413

$

413

per day and the total costs are$

6986

$

6986

per day at a daily output of15

15

boards.

A) Assuming that the total cost per day,C

(

x

)

C

(

x

)

, is linearly related to the total output per day,x

x

, write an equation for the cost function.

C

(

x

)

=

C

(

x

)

=

(Round all values to four decimal places as needed.)

B) Find the average cost function,

C

(

x

)

C

(

x

)

.

C

(

x

)

=

C

(

x

)

=

C) Find the following limit.

lim

x

C

(

x

)

=

lim

x

C

(

x

)

=

D) As snowboard production increases the average cost per board approaches$

$

.