Four products (1,2,3,and 4)must be processed on one of four machines (A,B,C,and D).The times required in minutes for each product on each machine are shown below. If management assigns products to machines so that the total time to complete all jobs is minimized,then the time to complete Product 1 is
A)10 minutes.
B)9 minutes.
C)16 minutes.
D)12 minutes

Question

Four products (1,2,3,and 4)must be processed on one of four machines (A,B,C,and D).The times required in minutes for each product on each machine are shown below.  If management assigns products to machines so that the total time to complete all jobs is minimized,then the time to complete Product 1 is
A)10 minutes. 
B)9 minutes. 
C)16 minutes. 
D)12 minutes

Quizplus · Accepted Answer

To minimize the total time, we need to find the machine which takes the shortest time for each product. 
For product 1, the shortest time is on machine B which takes 3 minutes. 
For product 2, the shortest time is on machine D which takes 2 minutes. 
For product 3, the shortest time is on machine A which takes 7 minutes. 
For product 4, the shortest time is on machine C which takes 4 minutes.

Therefore, we should assign product 1 to machine B, product 2 to machine D, product 3 to machine A, and product 4 to machine C.

The total time to complete all jobs would be 3+2+7+4=16 minutes. Therefore, the time to complete product 1 is 3 minutes. 
So, the answer is B.

Four Products (1,2,3,and 4)must Be Processed on One of Four