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 time to complete all jobs, product 1 should be assigned to Machine B, which has the shortest processing time of 3 minutes for this product. The total time to process all products would be 3+4+5+3 = 15 minutes. However, because the question asks for only the time to complete Product 1, the answer is simply the shortest processing time for Product 1, which is 3 minutes on Machine B.

Four Products (1, 2, 3, and 4) Must Be Processed