Question

Killogg is a new cereal formed of a mixture of bran and rice, that contains at leat 88 grams of protein and at least 36 milligrams of iron. Knowing that bran contains 80 grams of protein and 40 milligrams of iron per kilogem, and that rice contains 100 grmas of protein and 30 milligrams of iron per kilogrm, find the minimum cost of productin this new cereal if bran costs Rs.5 per kilogram and ric costs Rs.4 per kilogram.

Answer 1

Correct Answer - The minimum cost of producing this cerel is Rs. 4.60 per kg.
Let the cereal contain x kg of bran and y kg of rice. Maximize `Z=5x+4y,` subject ot the conditions
`(x xx(80)/(1000))+(yxx(100)/(1000))ge(88)/(1000),`
`(x xx(40)/(1000))+(y xx(30)/(1000))ge(36)/(1000),`
x geand y ge0.`