Answer :

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

Now,

⟹ 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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