SOLUTION: Two types of books (A and B) are to be placed on a library shelf of 96 cm length, with a maximum load of 20 kg. If the weight of each type of the books is 1 kg, and the thickness o
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Question 1127969: Two types of books (A and B) are to be placed on a library shelf of 96 cm length, with a maximum load of 20 kg. If the weight of each type of the books is 1 kg, and the thickness of type A is 6 cm whereas the thickness of type B is 4 cm, What is the number of books of each type that should be placed on the shelf so that the number of books is maximized?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
------------------------
I'll use the maximum for (2)
and subtract (2) from (1)
(1)
(2)
----------------------------
and
---------------------------------
8 of type A and 12 of type B
---------------------------------
check:
what if there are 9 of A and 11 of B?
(1)
(1)
(1)
doesn't work
-----------------------------
what if there are 7 of A and 13 of B?
(1)
(1)
doesn't work
---------------------------------
What if there are 10 of A and 10 of B?
doesn't work
----------------------------------------
Looks like my answer is correct
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