# A diet is to cont

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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