1. How long will it take for you to fill a rush order? It would take the team 26 minutes. The rush order itself of would require 7 steps as follows (the total cycle time is listed in parentheses):
Clean Bowl, Add ingredients, and Mix (06:00 mins)
Dish Cookies onto Tray* (02:00 mins)
Put Cookies in Oven, Set Timer & Temp*(01:00 mins)
Baking * (09:00 mins)
Remove cookies and cool (05:00 mins)
Bag cookies* (02:00 mins)
Accept payment (01:00 mins) TOTAL 26:00 mins
*Per Dozen cookies. I am assuming that this rush order is for 12 cookies (1 dozen) only.
2. How many orders can you fill in a night, assuming you are open four hours each night?
4 hours is 240 minutes. Since there are some steps that do not increase exponentially with each batch (dozen) cookies you make, the time to cook 2 dozen or 3 dozen is not, "26 mins x 2" or "26 mins x 3". Instead here is what it takes to make 3 dozen cookies which is the capacity of (first step) the mixing bowl itself.
Clean Bowl, Add ingredients, and Mix (06:00 mins) same for 3 dozen 06:00 mins
Dish Cookies onto Tray* (02:00 mins) x 3 dozen = 06:00 mins
Put Cookies in Oven, Set Timer & Temp*(01:00 mins) x 3 dozen = 03:00 mins
Baking * (09:00 mins) x 3 dozen = 27:00 mins
Remove cookies and cool (05:00 mins) same for 3 dozen 05:00 mins
Bag cookies* (02:00 mins) x 3 dozen = 06:00 mins
3 doz TOTAL 53 mins
If the team produced 3 dozen cookies every 53 minutes, they would be able to complete 4.53 cycles which is equivalent to 13.59 dozen cookies. Now, since there is really no such thing as a half cycle, we have to round down (and assume that the team stops after their 4th cycle knowing that they do not have enough time to complete a 5th round of baking) so we get:
Preparing cookies for the 240 mins that they are open each day equates to 4 baking cycles of 3 dozen cookies per cycle = 12 dozen cookies or