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A factory assembles Product X from three components, A, B, and C. One

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A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post 21 Sep 2019, 06:43
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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


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Re: A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post 21 Sep 2019, 22:40
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Enrique92 wrote:
The largest number of Xs on Monday will be 3.

The largest number of Xs on Tuesday will be 3.

The largest number of Xs on Wedneday will be 3 but these ones will be done by Thursday night, then they should not be take into account.

Therefore 3+3=6




But at 1 time maximum of 5 products can be worked upon
So on Tuesday assembly of only 2 products will start as 3 are already in progress

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A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post Updated on: 21 Sep 2019, 10:26
IMO B ; 5 should be the answer of the largest assembled product
max products during all three days if 0,1,2,3 begin assembly on Monday,we will have to consider cases and solve , i am guessing to be 5
gmatt1476 wrote:
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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


PS56441.01


Attachment:
2019-09-21_1841.png

Originally posted by Archit3110 on 21 Sep 2019, 08:06.
Last edited by Archit3110 on 21 Sep 2019, 10:26, edited 1 time in total.
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Re: A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post 21 Sep 2019, 09:28
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The largest number of Xs on Monday will be 3.

The largest number of Xs on Tuesday will be 3.

The largest number of Xs on Wedneday will be 3 but these ones will be done by Thursday night, then they should not be take into account.

Therefore 3+3=6
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Re: A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post 09 Oct 2019, 07:30
1
gmatt1476 wrote:
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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

PS56441.01


Factory workers can work on a max. of 5 units that takes each 2 days to complete;
Also, a unit is composed of one of each component (A,B,C) that must be available at the start of the given day.

Max. units that can start production on Monday = 3, since A = 3;
Therefore, three workers will be occupied until Tuesday, and two workers will be available;
Max. units that can start production on Tuesday = 2, since available workers = 2;
So, on Wednesday, there will be 5 units produced.

Answer (B)
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A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post 28 Oct 2019, 15:05
gmatt1476 wrote:
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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


PS56441.01


Attachment:
2019-09-21_1841.png


The question states ,
"One of each component is needed for each Product X and all three components must be available when assembly of each Product X starts."
There are 3 'A' components available on Monday and so , work to assemble 3 products (x ) can start.
To complete these products 2 days will be required.
On Tuesday morning , work can start for assembling 2 more products simultaneously along with these 3 products. ( as "The factory can work on at most five Product Xs at once.")
On Tuesday evening , 3 products for which work started on Monday morning will be finished.
On Wednesday evening , 2 products for which work started on the Tuesday morning will be finished.
So , total 5 products can be assembled after the completion of Wednesday.

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Re: A factory assembles Product X from three components, A, B, and C. One  [#permalink]

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New post 06 Jan 2020, 06:24
gmatt1476 wrote:
Image
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


PS56441.01


Attachment:
2019-09-21_1841.png


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
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Re: A factory assembles Product X from three components, A, B, and C. One   [#permalink] 06 Jan 2020, 06:24
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