BU275 Lecture Notes - Lecture 4: Sigma Xi
Document Summary
Let x1 represent the number of pounds of coffee i blended into j (i= 1 brazilian; 2 colombian; 3 mocha; j= 1 special; 2 dark) Pounds of brazilian purchased = pounds of brazilin used = 110 pounds: x11 + x12 = 110 (x11= brazilian special) + x12=brazilian dark) = brazilian used. B: pounds of brazilian purchased: b=x11+ x12. Demand constraints: assume we produce and sell exactly 100 pounds of each blend. =30% mocha in special: x31= 30. >/= 60% brazilian in dark: x12 >/= 60. = 10% mocha in dark: x32= 10. Non-negativity: xij >/= 0 for all i,j. Revenue= 6. 50 (special sold) + 5. 25 (dark sold) = 6. 50 (x11 + x21 + x31) +5. 25 (x12 + x22 +x32) Costs = 2(brazilian purchased) +2. 9 (columbian) + 2. 75 (mocha) = 2 (x11+ x12) + 2. 9 (x21+ x22) +2. 75(x31+x32) Objective function: (6. 50-2) x11 + (6. 50-2. 90) x21 + (6. 50- 2. 75) x31+ (5. 25-2) x12 + (5. 25-2. 9) x22 + (5. 25-
