assignment1.docx - Q1 Problem38 Decision Variables x1 = of...

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Q1 Problem38 Decision Variables: x1 = # of V231 x2 = # of V242 x3 = # of V784 x4 = # of V906 Objectives: To maximize the profit for the aluminum value. Max 16 x 1 + 12 x 2 + 13 x 3 + 8 x 4 Constraints: Non-negative integer Drilling: 0.4 x 1 + 0.3 x 2 + 0.45 x 3 + 0.35 x 4 <= 700 Milling: 0.6 x 1 + 0.65 x 2 + 0.52 x 3 + 0.48 x 4 <= 890 Lathe: 1.2 x 1 + 0.6 x 2 + 0.5 x 3 + 0.7 x 4 <=1200 V231 >= 200 V242 >=250 V784 >=600 V906 >=450 Total inspection hours <=525 Solution: Decision variables: x1=329 x2=250 x3=604 x4=450 Total profit = $19716 Q2 Problem12 Decision Variables: B = # of Bumper stickers(thousands) P = # of Personal mailings(hundreds) R = # of Radio ads(per day) S = # of Small road side signs L = # of Large road side signs Objectives: To maximize additional votes as a result of the advertising effort.
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MAX 10 B + 40 P + 485 R + 10 S + 30 L Constraints: Non-negative integer 30 B + 81 P + 1000 R + 25 S + 60 L <= 90500 40 <= B <=100 500 <= P <= 800 3 <= R <= 12 100 <= S <= 500 50 <= L <= 300 Solution: Decision variables: B=40 P=800 R=4 S=100 L=300 Total vote = 44340 Q3 Problem 34 Decision variables: X1= pounds of Alloy 1 X2= pounds of Alloy 2 X3= pounds of Alloy 3 X4= pounds of Iron 1 X5= pounds of Iron 2 X6= pounds of Carbide 1 X7= pounds of Carbide 2
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