Vitamin B complex is a group of 8 distinct vitamins that coexist in the same foods and carry out similar functions.

Q. Vitamin B complex is a group of eight distinct vitamins that carry out specific functions.

Q. A dietician wishes to mix together two kinds of food X and Y in 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:

Food	Vitamin A	Vitamin B	Vitamin C
X	1	2	3
Y	2	2	1

One kg of food X costs ₹16 and one kg of food Y costs ₹20. Find the least cost of the mixture which will produce the required diet?

Q. Reshma wishes to mix two types of food $P$ and $Q$ in such a way that the vitamin contents of the mixture contain at least $8$ units of vitamin A and $11$ units of vitamin B. Food $P$ costs Rs. $60/kg$ and Food $Q$ costs Rs. $80/kg$. Food P contains $3units/kg$ of Vitamin A and $5units/kg$ of vitamin b while food Q contains $4unit/kg$ of vitamin A and $2units/kg$ of vitamin B. Determine the minimum cost of the mixture.

Q. A dietician wishes to mix together two kinds of food X and Y in 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 content of one kg food is given below: Food Vitamin A Vitamin B Vitamin C X 1 2 3 Y 2 2 1 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?