In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize [f1 (x) = 5x1 – x2, f2(x) = x1 + 4x2] subject to -51 + 2x2 < 10 x1 + x2 > 3 X1 + 2x2 > 4 X1, X2 >0 (a) Formulate the weighted-sum problem P(w) for this BOLP.
In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize [f1 (x) = 5x1 – x2, f2(x) = x1 + 4x2] subject to -51 + 2x2 < 10 x1 + x2 > 3 X1 + 2x2 > 4 X1, X2 >0 (a) Formulate the weighted-sum problem P(w) for this BOLP.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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Transcribed Image Text:In questions 2, 3, and 4, consider the following biobjective linear pro-
gram (BOLP):
minimize [fi(x)= 5x1 – x2; f2(x) = x1 + 4.x2|
subject to –51 + 2.x2 < 10
X1 + x2 > 3
X1 + 2x2 > 4
X1, X2 > 0
(a) Formulate the weighted-sum problem P(w) for this
BOLP.
(b) Let w = 1/3. Solve P(w) geometrically and report its
optimal solution(s) in X and Y.
(c) Did you find efficient solutions to BOLP in part 3b?
Explain why.
(d) Find all values of 0 < w < 1 for which optimal solutions
to P(w) are efficient for this BOLP.
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