Question: A B. 1 . 3 Use? $8.00 Mix (lbs) 2 Compound Sulfur 20% 3 1 4 2 500 D E F G Components Iron Oxide

A B. 1 . 3 Use? $8.00 Mix (lbs) 2 Compound Sulfur

A B. 1 . 3 Use? $8.00 Mix (lbs) 2 Compound Sulfur 20% 3 1 4 2 500 D E F G Components Iron Oxide Potassium Cost (per lb) Supply (lbs) 60% 20% $1.62 800 30% 20% $2.78 20% 30% $3.14 300 30% 30% $4.51 200 40% 50% $5.23 100 30% 20% Total Compound 2 or 3 5 3 6 50% 50% 40% 10% 40% 4 7 5 8 Min (%) 9 10 Component (lbs) Min (lbs) Revenue Cost 11 12 Profit 13 14 15 16 Walter White, a chemist at BB Chemical Co., produces a special chemical compound called Blue that BB Chemical sells to high schools for $8 per pound for use in their chemistry classes. Walter can mix together at most 3 of 5 available compounds whose percentage composition of sulfur, iron oxide & potassium is listed in the table above. The resulting blend must consist of at least 40% sulfur, 30% iron oxide and 20% potassium by weight. To avoid a disastrous explosion, Walter can use either compound 2 or 3 in the mix but not both. The cost per pound to purchase these compounds from a supplier with available supplies are listed at right. Walter would like you to build and solve a linear program to find the mix of compounds that yield the most total profit. (Walter will reward you with 50 points; you best deliver!) 17 18 19 20 Problem 21 22 23 24 25 26 Blend Shell MOLP Shell

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