(2)
0
yx
 
  
 
 
The dealer is constrained by the maximum amount he can invest (Here it is
Rs 50,000) and by the maximum number of items he can store (Here it is 60) Stated mathematically,
2500x + 500y ≤ 50000 (investment constraint)
or
5x + y ≤ 100 (3)
and
x + y ≤ 60  (storage constraint) (4)
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506
MATHEMATICS
The dealer wants to invest in such a way so as to maximise his profit, say, Z which
stated as a function of x and y is given by
Z = 250x + 75y (called objective function)