Use the following graph to answer the next $3$ questions.

The following graph shows the demand and marginal revenue in two markets $(1$ and $2)$ for a price$-$discriminating firm, along with its total marginal revenue and marginal cost.

Question $43(2$ points$)$

Using the above graph, what amount of total amount should the firm produce?

Question $43$ options:

$100$ units

$175$ units

$225$ units

$275$ units

$350$ units

Question $44(2$ points$)$

How should the firm allocate that sales output between the two markets?

Question $44$ options:

$112\mathrm{.}5$ units in each market

$100$ units in market $1$; $175$ units in market $2$

$150$ units in market $1$; $300$ units in market $2$

$75$ units in market $1$; $150$ units in market $2$

None of the above.

Question $45(2$ points$)$

What price should the firm charge within each market?

Question $45$ options:

P$1=$ $$20$; P$2=$ $$32\mathrm{.}50$

P$1=$ $$35$; P$2=$ $$22\mathrm{.}50$

P$1=$ $$20$; P$2=$ $$20$

P$1=$ $$27\mathrm{.}50$; P$2=$ $$35$

None of the above.

Question $46(2$ points$)$

Which of the following is not a required condition for a firm to successfully price$-$discriminate?

Question $46$ options:

The firm must be a pure monopoly.

It must be difficult for consumers in one market to re$-$sell goods to consumers in another market.

Consumers within each market must have clearly differentiated price elasticities of demand.

The firm must possess market power.

Question $47(2$ points$)$

When determining price, what rule should a manager follow for a firm that practices price discrimination?

Question $47$ options:

Elasticity and price are not related.

Price is lower in the higher elasticity market.

Price is higher in the higher elasticity market.

Profit is maximized when both prices and elasticities are equal.

Question $48(2$ points$)$

A firm faces the demand for its product $($ P $=100-0\mathrm{.}5$Q $)$ as shown in the figure below. It produces under conditions of constant costs in the long run, and LMC $=$ LAC $=$ $$12$ per unit.

If the firm can practice first$-$degree price discrimination, it can make a maximum profit of

Question $48$ options:

$$1,872$

$$1,936$

$$7,744$

$$9,856$

None of the above.