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Refer to the table below:

$(1)$

$(2)$

$(3)$

Price

Quantity Sold

Total Cost

$$12$

$40$

$$374$

$$12$

$41$

$$376$

$$12$

$42$

$$380$

$$12$

$43$

$$385$

$$12$

$44$

$$390$

$$12$

$45$

$$400$

$$12$

$46$

$$410$

$$12$

$47$

$$425$

What quantity of output would the profit$-$maximizing firm produce?

Group of answer choices

$47$ units

$44$ units

I don't want to open the store today. I must go home and nap.

$46$ units

$45$ units