Q. 245.0( 2 Votes )

A diet is to cont

Answer :

Let x units of food F1 and y units of food F2 is mixed


Cost of F1 = Rs 4 per unit


Cost of F2 = Rs 6 per unit


We have to minimize the food cost i.e.


Z = 4x + 6y


Also, F1 contains 3 units of vitamin and 4 units of minerals per unit, and F2 contains 6 units of vitamin and 3 units of minerals


Now, diet should contain 80 units of vitamin A


3x + 6y ≥ 80


Also, diet should contain 100 units of minerals


4x + 3y ≥ 100


And clearly, x ≥ 0, y ≥ 0


Now, let’s plot and find the area of solution.




Therefore, cost is minimized at


He should take 24 units of F1 and units of F2


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