A particular machine is the bottleneck. On that machine, $3$ machine hours are required to produce each unit of Product A$,1$ hour is required to produce each unit of Product B$,$ and $2$ hours are required to produce each unit of Product C$.$ Rank the products from the most profitable to the least profitable use of the constrained resource $($bottleneck$).($Round your intermediate calculations to $2$ decimal places.$)$

Multiple Choice

C$,$ A$,$ B

A$,$ C$,$ B

B$,$ C$,$ A

B$,$ A$,$ C