A dietician wishes to mix together two kinds of food X and Y in such a

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 Rs 16 and one kg of food Y costs Rs 20. Then the least cost of the mixture which will produce the required diet is

Answer» 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.

One kg of food

X

costs Rs

16

and one kg of food

Y

costs Rs

20.

Then the least cost of the mixture which will produce the required diet is