Use the following total cost schedule for a perfectly competitive firm to answer the next $5$ questions.

Output Total Cost

$0$ $ $10$

$160$

$280$

$3110$

$4165$

$5245$

Question $9(2$ points$)$

If the market price is $$60,$ how many units of output should the firm produce?

Question $9$ options:

$1$ unit

$3$ units

$4$ units

$5$ units

Question $10(2$ points$)$

At the profit$-$maximizing output, how much profit will the firm earn?

Question $10$ options:

$$70$

$$75$

$$165$

$$240$

None of the above.

Question $11(2$ points$)$

Suppose that the government requires the installation of a pollution control system that increases fixed costs by $$100.$ What will happen to the profit$-$maximizing output and the firm's profit?

Question $11$ options:

Output will increase, and profit will increase.

Output will remain the same, and profit will remain the same.

Output will remain the same, and profit will decrease.

Output will decrease, and profit will decrease.

Question $12(2$ points$)$

Using the information from the prior problem, what effect will this pollution control requirement have on the industry over the long run?

Question $12$ options:

Some firms will exit the industry, and market prices will rise.

Firms will likely enter the industry, and market prices will decrease.

The market supply curve will shift to the right as firms adjust to the increase in fixed costs.

The increase in fixed costs will lower demand for the good.

Question $13(2$ points$)$

With the new pollution control requirement in place, what is the expected long$-$run market price for the good?

Question $13$ options:

$$41\mathrm{.}25$

$$60\mathrm{.}00$

$$66\mathrm{.}25$

$$70\mathrm{.}00$

None of the above.