Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make each puppet. What is the total cost to make 50 puppets? (PLEASE HELP THANKS)

Respuesta :

$7150 happy new year!!!!!!!!!!!!!!!!!!!!!!!!!!!

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

[tex] C(x)=125+18x\\
\\
\text{Here x is the number of puppets}\\
\\
\text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\
\\
C(50)=125+18*50\\
\\
C(50)=125+900\\
\\
C(50)=1025 \ dollar. [/tex]

The total cost to make 50 puppets=$1025