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Solution-Tutorial-5

# Solution-Tutorial-5 - AB103 Statistical and Quantitative...

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1 AB103 – Statistical and Quantitative Methods Solutions - Tutorial 5 Chapter 2 (ASWM) 2.1 (page 70) 2.21 (page 73) a. Let F = number of tons of fuel additive S = number of tons of solvent base Ma x 40 F + 30 S s.t. 2/5 F + 1 / 2 S 200 Material 1 1 / 5 S 5 Material 2 3 / 5 F + 3 / 10 S 21 Material 3 F , S 0

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2 b. . 0 10 20 30 40 50 10 20 30 40 50 60 70 Feasible Region Tons of Fuel Additive Material 2 Optimal Solution (25,20) Material 3 Material 1 Tons of Solvent Base c. Material 2: 4 tons are used, 1 ton is unused. d. No redundant constraints. 2.25 (pages 74-75) S F
3 Internet fund \$20,000 Blue Chip fund \$30,000 Annual return \$ 5,100 b. The third constraint for the aggressive investor becomes 6 I + 4 B 320 This constraint is redundant ; the available funds and the maximum Internet fund investment constraints define the feasible region. The optimal solution is: Internet fund \$35,000 Blue Chip fund \$15,000 Annual return \$ 5,550 The aggressive investor places as much funds as possible in the high return but high risk Internet fund.

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