An animal feed to be mixed from soybean meal and oats must contain at least 120120 lb of​ protein, 2727 lb of​ fat, and 1010 lb of mineral ash. Each sack of soybeans costs $ 15$15 and contains 5050 lb of​ protein, 99 lb of​ fat, and 55 lb of mineral ash. Each sack of oats costs ​$55 and contains 1515 lb of​ protein, 55 lb of​ fat, and 1 lb of mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum​ cost?
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Part 1
What is the minimum​ cost?