A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods `F_1`and `F_2`, are available. Food `F_1`costs Rs 4 per unit food and F, costs Rs 6 per unit. One unit of food `F_1`, contains 3 units of vitamin A and 4 units of minerals.One unit of food` F_2,`contains 6 units of vitamin A and 3 units of minerals.Formulate a LPP. find the minimum cost of diet which matches the minimal requirement

Explanation

Let the diet contain x units of food F1​ and y units of food F2​.

Therefore,`x≥0 and y≥0`

Given that The cost of food `F1​ is Rs.4` per unit and of food `F2​ is Rs.6` per unit.
Therefore, the constraints are

`3x+6y≥80`

`4x+3y≥100`

`x,y≥0`

Total cost of the diet,
`Z=4x+6y`


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