BTGmoderatorDC wrote:
A factory assembles Product X from three components, A, B, and C. One of each component is needed for each Product X and all three components must be available when assembly of each Product X starts. It takes two days to assemble one Product X. Assembly of each Product X starts at the beginning of one day and is finished at the end of the next day. The factory can work on at most five Product Xs at once. If components are available each day as shown in the table above, what is the largest number of Product Xs that can be assembled during the three days covered by the table?
A. 3
B. 5
C. 6
D. 9
E. 10
OA
B
Source: Official Guide
On Monday, the workers can start on only 3 products, because there are only 3 component A's available. These 3 products will continue to be assembled all day Tuesday and be finished Tuesday night.
In the meantime, on Tuesday morning, the workers can start on only 2 new products because they are still working on the 3 (Monday) products (and their work limit is 5 products at any one time). So on Tuesday night, the 3 (Monday) products are complete, and the 2 (Tuesday) products are still in process.
On Wednesday, the workers could start on as many as 3 new products, but this is of no consequence, since they can't finish any new products by Wednesday night. However, they will finish the 2 (Tuesday) products on Wednesday night.
Thus, they will have finished 3 products on Tuesday night and 2 more on Wednesday night, for a total of 5 completed products for the period in question.
Answer: B
