$\"\"$

\

The marginal cost of extraction is $\"\"$ .

\

The start-up cost is $\"\"$ .

\

Find the cost of producing function.

\

$\"\"$

\

Apply integral on each side.

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

Find the cost of producing function for first $\"\"$ .

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The cost of extracting first $\"\"$ is $\"\"$ .

\

The cost of extracting next $\"\"$ is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The cost of extracting next $\"\"$ is $\"\"$ .

\

$\"\"$

\

The cost of extracting first $\"\"$ is $\"\"$ .

\

The cost of extracting next $\"\"$ is $\"\"$ .