$9.$ Use the table below to answer the following questions:

a$.$ Find the missing values on the table.

b$.$ What is this firm's profit$-$maximizing price? What is its profit$-$maximizing quantity? Profit$-$maximizing price is $\backslash (\backslash$$ $1600\backslash )$ and the profit$-$maximizing quantity is $3.$

c$.$ What is the firm's total profit?

$\backslash [$

$\backslash$$ $4800-\backslash$$ $1300=\backslash$$ $3500$

$\backslash ]$

d$.$ If at least one consumer is willing to pay $\backslash (\backslash$$ $2000\backslash )$ for this product, why won't the monopolist charge $\backslash (\backslash$$ $2000\backslash )?$ How much profit would this firm earn if it charged a price of $\backslash (\backslash$$ $2000\backslash )?$

The monopolist won't charge $\backslash (\backslash$$ $2,000\backslash )$ because they was the maximum profit that they can receive and charging $\backslash (\backslash$$ $2000\backslash )$ will reduce that. At $\backslash (\backslash$$ $2,000\backslash ),$ fewer units would be sold, which would result in less revenue.

e$.$ Markets are allocatively efficient when the price $=$ MC$.$ If this were an allocatively efficient market, how many units would the firm produce?

f$.$ Find the deadweight loss that occurs due to this firm's monopoly power. $($See hint below.$)$