Question
Wed January 26, 2011 By: Priyanka R

Find the maximum profit

Expert Reply
Wed January 26, 2011
Let the number of Orange boxes be X and number of Apple boxes be Y.
 
From the given conditions,
 
X + Y = 12
and
50X + 25Y = 500
 
We need to maximize 10X + 6Y.
 
From the conditions,
Y = 12 - X
 
=> 50X + 25(12 - X) = 500
=> 50X + 300 - 25X = 500
=> 25X = 200
=> X = 200/25
=> X = 8
 
Hence, Y = 12 - 8 = 4.
 
Hence the maximum profit is
(10 x 8) + (6 x 4) = 80 + 24 = 104.
 
Regards Topperlearning.
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