(4)
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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) (5)
Mathematically, the given problems now reduces to:
Maximise Z = 250x + 75y
subject to the constraints:
5x + y ≤ 100
x + y ≤ 60
x ≥ 0,  y ≥ 0
So, we have to maximise the linear function Z subject to certain conditions determined
by a set of linear inequalities with variables as non-negative There are also some other
problems where we have to minimise a linear function subject to certain conditions
determined by a set of linear inequalities with variables as non-negative Such problems
are called Linear Programming Problems