The above information can be expressed in the form of the following table:
Let the mixture contain ‘x’ kgs and ‘y’ kgs of food P and Q respectively.
Cost of food P = 60x
Cost of food Q = 80y
Cost of mixture = 60x + 80y
⟹ 3x + 4y ≥ 8
i.e. the minimum requirement of vitamin A from the mixture of P and Q is 8units, each of which contains 3units and 4units respectively.
⟹ 5x + 2y ≥ 11
i.e. the minimum requirement of vitamin B from the mixture of P and Q is 11 units, each of which contains 5units and 2units respectively.
Hence, mathematical formulation of the LPP is as follows:
The feasible region is Unbounded.
The corner points of the feasible region are as follows:
Z is minimised on the line joining points B(2,0.5) and .
The minimum cost of mixture is ₹160
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