A diet is to contain at least 4000 units of carbohydrates, 500 units of fat and 300 units of protein. Two foods `F_1` and `F_2` are available. Food `F_1` costs 2 Rs. per unit and food `F_2` costs 4 Rs. per unit. A unit of food `F_1` contains 10 units of carbohydrates, 20 units of fat and 15 units of protein. A unit of food `F_2` contains 25 units of carbohydrates, 10 units of fat and 20 units of protein. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimum requirements.

Explanation

`F_1=x and F_2=y`

10x+25`>=`4000

20x+10y`>=`500

15x+20y`>=`300

Z=2x+4y
Coast of A=160*4=640Rs

Coast of B=400*2=800Rs

`F_1=160Rs F_2=0`

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