Kristen Cookie Company
Concept:
* Cookies will be supplied fresh * Make to order
Production Process S.No. | Steps | Time taken (minutes) | Responsible | 1 | Take on order through e-mail | 1 | Roommate | 2 | Adding ingredients & mixing (max. 3 dozen) | 6 | You | 3 | Spooning the cookies onto the tray (max. 1 dozen) | 2 | You | 4 | Bake in oven (max. 1 dozen) | 10 | Roommate | 5 | Cool the cookies | 5 | Roommate | 6 | Packing the cookies | 2 | Roommate | 7 | Delivery & accept the payment | 1 | Roommate |

Maximum number of orders per night:
Open for four hour per night and one dozen cookies per order
Total hours available per night = 240 mins.
Time required to finish one order = 27 mins
Assuming the order coming in continuously one after the other and the time for placing the cookies in the oven is negligible.
Roommate can take total of 19 orders before he takes care of steps 5 to 7 for the first order.
So the first order takes 27 mins to finish all the steps
From the next order it takes 10 mins from the end time of previous order, so for second order the finish time is 27+ 10 = 37 mins from the work start time during that night ( from time zero)
So for the first eight order the total time taken is 27min + (18*10) = 207 mins
Then process repeats. The roommate now starts taking the order
Now he can take maximum of 1 order.
The total time required for this one order = 27 mins
So the maximum time utilized = 207 + 27 = 234 mins
Maximum number of orders can be finished in the four hours = 19 + 1 = 20 orders
Maximum no. of mixers required to increase the production rate:
a) Each order consists of one dozen cookies
Here we have note down that one person is in charge for mixing and spooning the cookies (step 2 & 3).
So even if you place more than one mixer, he can do for next order once he finishes the step 2 & 3 of the first order.
So the first order takes 27 mins to finish all the steps
For the next order it takes 8 mins from the end time of first order, so for second order the finish time is 27+ 8 = 35 mins from the work start time during that night ( from time zero)
From the next two orders it takes 20 mins from the end time of previous two orders, so for third & fourth order the finish time is 35+ 20 = 55 mins from the work start time during that night ( from time zero)
Roommate can take total of 19 orders before he takes care of steps 5 to 7 for the first order.
So for the first 18 orders the total time taken = 35 + (8*20) = 195 mins
For the 19th order it takes 12mins from the end time of 18th order, so the total time taken for 19 orders is = 195 + 11 = 206 mins
Now he can take maximum of 1 order.
The total time required for this one order = 27 mins
So the maximum time utilized = 206 + 27 = 233 mins
Maximum number of orders can be finished in the four hours = 19 + 1 = 20 orders
If you put more than one mixer there won’t be any difference.