Farah Faucets manufactures high cost, limited production bath fixtures. The company has just completed $5$ prototype bathroom faucets and recorded the direct labor $($in minutes$)$ for each fixture as follows:

$1$: $200$

$2$: $140$

$3$: $113\mathrm{.}6$

$4$: $98\mathrm{.}0$

$5$: $87\mathrm{.}4$

The company prices their fixtures at $$500$ per direct labor hour. They have found that this pricing scheme covers labor, material and overhead costs and provides for a suitable profit. Using learning curve theory, how much should the company charge their distributor for the entire production run of $40$ faucets, assuming that they can use the $5$ prototype faucets in completing the order.

Question $2$ options:

$$1,090,242$

$$14,984$

$$18,171$

$$14,983$

$$2,180$