Cranston Corporation makes four products in a single facility. Data concerning these products appear below:

Products

A B C D

Selling price per unit $ $42\mathrm{.}30$ $ $50\mathrm{.}00$ $ $37\mathrm{.}60$ $ $33\mathrm{.}50$

Variable manufacturing cost per unit $ $20\mathrm{.}80$ $ $30\mathrm{.}70$ $ $21\mathrm{.}00$ $ $19\mathrm{.}90$

Variable selling cost per unit $ $2\mathrm{.}70$ $ $2\mathrm{.}10$ $ $1\mathrm{.}00$ $ $2\mathrm{.}40$

Milling machine minutes per unit $3\mathrm{.}304\mathrm{.}102\mathrm{.}601\mathrm{.}30$

Monthly demand in units $1,0004,0003,0003,000$

The milling machines are potentially the constraint in the production facility. A total of $28,200$ minutes are available per month on these machines.

How many minutes of milling machine time would be required to satisfy demand for all four products?

Multiple Choice

$11,000$

$28,200$

$23,500$

$31,400$