$1.$

Question $1$

A piece of equipment is available $24$ hours a day. On a typical day, the equipment produces $10$ units. Each unit takes about $60$ minutes on the machine, $40$ minutes of which is processing time, and $20$ minutes of setup time. About half of the units need to be reworked, in which case the setup time and the processing times need to be repeated. The remainder of the time, the equipment is idle.

What is the OEE of the equipment? $($Hint: don't round up$)$

$2$ points

Enter answer here

Red Bottle Coffee

Red Bottle Coffee is a small coffee shop in Pittsburgh that opens every day $7$ am through $7$ pm$.$ The baristas use a Breville espresso machine to brew the coffee they sell to their patrons. The espresso machine is available all the time that the shop is open. On average, it takes $50$ seconds to brew a cup of coffee. Baristas need another $20$ seconds of preparation time before brewing a cup of coffee, and after it is brewed the machine must undergo some cleaning, what takes a barista $30$ seconds to perform. Assume that, on an average day, $400$ customers arrive uniformly throughout the time Red Bottle Coffee is open, and each of them buys one cup of coffee.

$2.$

Question $2$

What is the OEE of the espresso machine?

$($Your answer should be formatted as $0\mathrm{.}000)$

$1$ point

Enter answer here

$3.$

Question $3$

Assuming that the flow time of an order is $100$ seconds, and the value$-$add time is the $50$ seconds that the coffee is brewing, what is the value$-$added percentage of the flow time?

$($Your number should be an integer$)$