D074462534.doc - ASSIGNMENT 13 and 14 REVIEW Problem 1 An...

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ASSIGNMENT – 13 and 14 REVIEW Problem – 1 An agricultural mill manufacture feed for cattle, sheep and chickens. This is done by mixing the following main ingredients: corn, limestone, soybeans and fish meal. These ingredients contain the following nutrients: vitamins, protein, calcium, and crude fat. The contents of the nutrients in each kilogram of the ingredients are summarized in the table. Ingredients Nutrient Vitamins Proteins Calcium Crude Fat Corn 8 10 6 8 Limestone 6 5 10 6 Soybeans 10 12 6 6 Fish meal 4 8 6 9 The mill is contracted to produce 10, 6 and 8 (metric) tons of cattle feed, sheep feed, and chicken feed. Because of the shortage, a limited amount of the ingredients is available – namely, 6 tons of corn, 10 tons of limestone, 4 tons of soybeans, and 5 tons of fish meal. The price per kilogram of these ingredients is respectively $0,20, $0,12, $0,24 and $0,12. The minimal and maximal units of the various nutrients that are permitted is summarized for a kilogram of the cattle feed, the sheep feed and the chicken feed.
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