A firm$$s total cost function is TC $=8$Q$.$

The market demand function is Q $=200\mathrm{.}5$P$.$

a$)$ If the firm uses a single$-$pricing strategy:

$$ What are the firm$$s profit$-$maximizing output $($QS$)$ and price $($PS$)?$

$$ Determine the consumer surplus $($CS$),$ producer surplus $($PS$),$ total

surplus $($TS$),$ and deadweight loss $($DWL$).$

b$)$ If the firm uses a perfect price discrimination:

$$ What is the firm$$s profit$-$maximizing output $($QD$)?$

$$ Determine the consumer surplus $($CS$),$ producer surplus $($PS$),$ total

surplus $($TS$),$ and deadweight loss $($DWL$)$