An egg contains 6 units of vitamin A and 7 units of vitamin B per gram and costs 12 paise per gram. Milk
contains 8 units of vitamin A and 12 units of vitamin B per gram and costs 20 paise per gram. The daily
minimum requirement of vitamin A and vitamin B are 100 units and 120 units respectively. Find the optimal
product mix.
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Answer:
Let 'E' and 'M' be the grams of egg and milk in the product.
Minimize W = total cost = 12 E + 20 M
Subject to,
6 E + 8 M >= 100 (Vitamin A)
7 E + 0 M >= 120 (Vitamin B)
E, M >= 0
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