Question $11\mathrm{.}6.$ Consider a bucket brigade line that assembles orders along an aisle of

flow rack. Each order is distributed fairly evenly along the aisle. The picking is to be

done by three workers that have the following work rates: worker A can pick a typical

order entirely by himself in twelve minutes; worker $B$ in ten minutes; and worker $C$ in

$5$ minutes.

What is the production rate of the line, measured in orders per hour, if the work$-$

ers are sequenced from slowest to fastest?

What fraction of each order will be produced by each of the workers?

What is the production rate if the workers are sequenced from fastest to slowest?