Pinter Corporation produces three products and is currently short on machine hours since one of its two machines is down; only $360$ machine hours are available this month. The selling prices, costs, labor requirements, and demand for the three products are as follows:

Product A

Product B

Product C

Sales price

$ $5\mathrm{.}00$

$ $3\mathrm{.}00$

$ $5\mathrm{.}00$

Variable cost per unit

$ $3\mathrm{.}50$

$ $2\mathrm{.}00$

$ $2\mathrm{.}00$

Machine hours per unit

$0\mathrm{.}75$

$0\mathrm{.}25$

$1\mathrm{.}00$

Demand $($units$)$

$300$

$400$

$210$

How many of each product should be produced while the machine is down to maximize profit?

$0$ of Product A$,1,440$ of Product B$,$ and $0$ of Product C

$300$ of Product A$,400$ of Product B$,$ and $210$ of Product C

$66$ of Product A$,400$ of Product B$,$ and $210$ of Product C

$200$ of Product A$,0$ of Product B$,$ and $210$ of Product C