1. Using the graphical method solve the following linear programming problem 2x, +3x, <10 max 4x, +6x, s.t. X, x, 20 3x, +x <15

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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ECON 509 UNIT FIVE ASSIGNMENT
Assignment: Answer any two questions
1. Using the graphical method solve the following linear programming problem
|2x, +3x, <10
3x, +x <15
2. Given the linear programming problem below, (a) Convert the inequality constraints
by adding slack variables or subtracting surplus variables, and (b) Express the
max 4x, +6x, s.t.
X, x, 20
equations in matrix form.
Maximise
It=18x, +22x,
3x, +5x, S10
3x, +5x, <25
Subject to
2x, +6x, <20
x, 20 x,20
3. Given the following linear programming problem
Maximise =9x, +13x, +5x,
subject to 5x, +x, +2x, <7 4x, +3x, +7x, :
315
Xi,X2, X3 20
Use the dual theorem to find the optimal values of (a) the primal objective function
and (b) the primal decision variables.
Transcribed Image Text:ECON 509 UNIT FIVE ASSIGNMENT Assignment: Answer any two questions 1. Using the graphical method solve the following linear programming problem |2x, +3x, <10 3x, +x <15 2. Given the linear programming problem below, (a) Convert the inequality constraints by adding slack variables or subtracting surplus variables, and (b) Express the max 4x, +6x, s.t. X, x, 20 equations in matrix form. Maximise It=18x, +22x, 3x, +5x, S10 3x, +5x, <25 Subject to 2x, +6x, <20 x, 20 x,20 3. Given the following linear programming problem Maximise =9x, +13x, +5x, subject to 5x, +x, +2x, <7 4x, +3x, +7x, : 315 Xi,X2, X3 20 Use the dual theorem to find the optimal values of (a) the primal objective function and (b) the primal decision variables.
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