1. Assuming that the order contains a dozen of cookies, the time to take a rush order is the sum of cycle times for each activity: 0+6+2+9+1+0+5+2+1=26 min.
2. Assuming a two dozens order, we have to consider that for the first dozen, my roommate can start backing after I have spooned the cookies on the tray. However when backing the second order he simultaneously cools and then packs the cookies from the first order. I can start mixing the second batch without waiting for the first-batch process to be completed (she starts washing out the bowl as soon as she finishes filling the tray). Thus, to fill a complete order for two dozens of cookies will be 36 min (see Gantt chart in the appendix). So …show more content…
Thus, we will only need 2 backing trays.
4. Oven is the bottleneck of the process with 10 minutes of activity per dozen cookies. The first dozen is put into the oven at the end of 9 minutes. With two ovens, the baking of the two dozen overlaps. The mixing process for the second batch starts right after the spooning process of the first batch, because I don’t have to wait for another oven anymore. The spooning process into another tray takes place by the 15th minute (not by the 17th as before see Gantt Diagram 1 and 2). At the same time, the roommate is ready to load the second oven. The second oven finishes the second dozen by the 26th minute. The first dozen is out of the oven at the 23th minute after which it cools for 5 minutes and then the roommate packs them in 2 minutes finishing as before at the 26th minute. By this time, the second dozen starts cooling and is ready to be packed which takes another 2 minutes. Payment and delivery takes each another minute. The new bottleneck of the process is therefore mix, wash and spoon(8 min), as it takes us only 8 min to produce a further batch of cookies Thus, per night we have ((240-26)/8)+1=27 orders. Thus, our capacity with one oven is 60hr/8min = 7,5dozens per hour, while with two ovens we have a capacity of 7,5 dozens per hour. Assume tat our profit per dozen is P Euro, the original profit is 6*P=6P, while