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max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Group A Identify which of Cases 1-4 apply to each of the follow- ing LPs: 8 Graphically find all optimal solutions to the follow- ing LP: max z = x1 + x2 min z = x1 – x2 X1 + x2 < 4 X1 - X2 2 5 X1, X2 2 () s.t. X1 + x2 < 6 X1 - x2 2 0 X2 - x1 2 3 X1, X2 2 () Graphically determine two optimal solutions to the s.t. max z = 4x1 + x2 8x1 + 2x2 < 16 5x1 + 2x2 < 12 s.t. following LP: min z = 3x1 5x2 3x1 + 2x2 > 36 3x1 + 5x2 > 45 X1, X2 2 () s.t. max z = -x1 + 3x2 X1 - X2 <4 X1 + 2x2 2 4 s.t. X1, X2 2 0) X1, X2 2 () Group B max z = 3x1 + x2 10 Money manager Boris Milkem deals with French currency (the franc) and American currency (the dollar). At 12 midnight, he can buy francs by paying .25 dollars per franc and dollars by paying 3 francs per dollar. Let x number of dollars bought (by paying francs) and x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()
Transcribed Image Text:Group A Identify which of Cases 1-4 apply to each of the follow- ing LPs: 8 Graphically find all optimal solutions to the follow- ing LP: max z = x1 + x2 min z = x1 – x2 X1 + x2 < 4 X1 - X2 2 5 X1, X2 2 () s.t. X1 + x2 < 6 X1 - x2 2 0 X2 - x1 2 3 X1, X2 2 () Graphically determine two optimal solutions to the s.t. max z = 4x1 + x2 8x1 + 2x2 < 16 5x1 + 2x2 < 12 s.t. following LP: min z = 3x1 5x2 3x1 + 2x2 > 36 3x1 + 5x2 > 45 X1, X2 2 () s.t. max z = -x1 + 3x2 X1 - X2 <4 X1 + 2x2 2 4 s.t. X1, X2 2 0) X1, X2 2 () Group B max z = 3x1 + x2 10 Money manager Boris Milkem deals with French currency (the franc) and American currency (the dollar). At 12 midnight, he can buy francs by paying .25 dollars per franc and dollars by paying 3 francs per dollar. Let x number of dollars bought (by paying francs) and x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()
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