A dietician wishes to mix together two kinds of food X and Y m such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below:One kg of food X costs Rs 16 and one kg of food Y costs Rs 20. Find the least cost of the mixture which will produce the required diet?

Explanation

let one no of food be `x`

let another no of food be `y`

Acc to question

`x + 2y >= 10`

`2x + 2y >= 12`

`3x + y >= 8`

`x, y >= 0`

by grahical plotting , we get points

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