Question

Industries makes two types of products using four machines from 9 a.m. to 5 p.m. each day. Product A visits machines 1,2 , and 4 . Product B only visits nachines 1 and 3 . The capacity is 0.4 unit per minute at machine 1,0.12 unit per minute at machine 2,0.2 unit per minute at machine 3 , and 0.3 unit per minute at machine 4. The demand per day is 40 units for Product A and 160 units for Product B. Which resource is the bottleneck? Multiple Choice

(A) Machine 1
(B) Machine 2
(C)Machine 3
(4)Machine 4

Answer 1

The bottleneck for Product A is Machine 2, and the bottleneck for Product B is Machine 3.

Step-by-step explanation:

To determine which resource is the bottleneck, we need to calculate the time it takes to produce each product on each machine. We can use the formula Time = Demand / Capacity. For Product A:

1. Machine 1: Time = 40 units / 0.4 unit per minute = 100 minutes
2. Machine 2: Time = 40 units / 0.12 unit per minute = 333.33 minutes
3. Machine 3: Not used for Product A
4. Machine 4: Time = 40 units / 0.3 unit per minute = 133.33 minutes

For Product B:

1. Machine 1: Time = 160 units / 0.4 unit per minute = 400 minutes
2. Machine 2: Not used for Product B
3. Machine 3: Time = 160 units / 0.2 unit per minute = 800 minutes
4. Machine 4: Not used for Product B

From the calculations, we can see that Machine 2 has the longest time (333.33 minutes) for Product A, and Machine 3 has the longest time (800 minutes) for Product B.

Therefore, Machine 2 is the bottleneck for Product A, and Machine 3 is the bottleneck for Product B.