Question

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared. At what time is the order placed by Client 3 completely served?

• A. 10.35
• B. 10.22
• C. 10.25
• D. 10.17

Hint:

Under sequential processing constraints, sum the maximum durations of each individual order to find the final completion time:
$\text{Total Time} = 10 \text{ mins (Client 1)} + 5 \text{ mins (Client 2)} + 10 \text{ mins (Client 3)} = 25 \text{ minutes}$.
$10:00 + 25 \text{ minutes} = 10:25$.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Under the "one client's order at a time" constraint, we must process the orders sequentially.
An order cannot begin processing until the previous order is completely finished and served.
Detailed Explanation:
Let us trace the timeline sequentially for the three clients:
1. Client 1's Order (10:00 to 10:10):
- Processing starts at 10:00.
- As calculated previously, all items are completed and served at 10:10.
- Both Anish and Bani are free at 10:10.
2. Client 2's Order (10:10 to 10:15):
- Although placed at 10:05, this order must wait until Client 1's order is completely served at 10:10.
- At 10:10, processing begins for 2 portions of fries and 1 ice cream:
- One employee starts the 2 portions of fries in the automatic fryer at 10:10. They are ready at 10:15.
- The other employee prepares the ice cream from 10:10 to 10:12.
- All items for Client 2 are ready at 10:15. Both employees are free at 10:15.
3. Client 3's Order (10:15 to 10:25):
- Although placed at 10:07, this order must wait until Client 2's order is completely served at 10:15.
- At 10:15, processing begins for 1 burger and 1 portion of fries:
- One employee starts preparing the burger at 10:15. It takes 10 minutes, so it is ready at 10:25.
- The other employee starts 1 portion of fries in the fryer at 10:15. It takes 5 minutes, so it is ready at 10:20.
- The order is completely served when the last item (the burger) is ready at 10:25.

Step 2: Final Answer:
Client 3's order is completely served at 10:25, which corresponds to Option (C).