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Let the points ( 112, ) lie on or inside the triangle with sides x+y=11, x+2y=16 and 2x+3y=29. Then the product of the smallest and the largest values of is equal to :
(2) 33
Vertices: L1 L2=(6,5), L1 L3=(4,7), L2 L3=(10,3)
[figure]
x= 112 lies between 4 and 6, so it meets only L1 and L3:
On L1: y= 112; on L3: y= 29-113=6
112 6
= 112 6=33
Answer: (2)
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