Solve the following LP problem GRAPHICALLY Maximize profit = 9x1 + 7x2 Subject to: 2x1 +...
- Solve the following LP problem GRAPHICALLY
Maximize profit = 9x1 + 7x2
Subject to: 2x1 + 1x2 ≤ 40
x1 + 3x2 ≤ 30
x1, x2 ≥ 0
Homework Answers
The
max value of the objective function z = 190 occurs at the extreme
point (18,4)
Hence the optimal solution to the given LP is x1=18, x2=4 and max z
= 190
Add Answer to:
Solve the following LP problem GRAPHICALLY
Maximize profit = 9x1 + 7x2
Subject to: 2x1 +...
1. Solve the following LP problem. Solve graphically. Maximize profit = 9x1+ 7x2 Subject to:2x1+ 1x2≤40...
1. Solve the following LP problem. Solve graphically. Maximize profit = 9x1+ 7x2 Subject to:2x1+ 1x2≤40 x1 + 3x2≤30 x1, x2≥0
3. Solve the following LP problem graphically. Maximize profit = 20x1+ 10x2 Subject to:5x1 + 4x2≤250...
3. Solve the following LP problem graphically. Maximize profit = 20x1+ 10x2 Subject to:5x1 + 4x2≤250 2x1 + 5x2≤150 x1, x2≥0
Solve the following LP problem graphically. Maximize profit = 3x1 + 5x2 Subject to: x2 ≤...
Solve the following LP problem graphically. Maximize profit = 3x1 + 5x2 Subject to: x2 ≤ 6 3x1 + 2x2 ≤ 18 x1, x2 ≥ 0
2. Solve the following LP problem graphically. Maximize profit = 3x1+ 5x2 Subject to:x2≤6 3x1 +...
2. Solve the following LP problem graphically. Maximize profit = 3x1+ 5x2 Subject to:x2≤6 3x1 + 2x2≤18 x1, x2≥0
Solve the following problem by Simplex method and verify the solution graphically whenever possible Maximize z...
Solve the following problem by Simplex method and verify the solution graphically whenever possible Maximize z = 12x1 + 7x2 subject to 2x1 + x2 ≤ 5 3x1 +4x2 ≤ 10 x1 ≤ 2 x2 ≤ 3 x1, x2 ≥ 0
Duality Theory : Consider the following LP problem: Maximize Z = 2x1 + x2 - x3...
Duality Theory : Consider the following LP problem: Maximize Z = 2x1 + x2 - x3 subject to 2x1 + x2+ x3 ≤ 8 4x1 +x2 - x3 ≤ 10 x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. (a) Find the dual for this LP (b) Graphically solve the dual of this LP. And interpret the economic meaning of the optimal solution of the dual. (c) Use complementary slackness property to solve the max problem (the primal problem). Clearly...
Solve the following using graphing techniques: a. Maximize 2x1 + 3x2 subject to the constraints, 2x1...
Solve the following using graphing techniques: a. Maximize 2x1 + 3x2 subject to the constraints, 2x1 + 2x2 < 8,X1 + 2x25 4, and X1 > 3, x2 > 0
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject...
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
QUESTION 15 Describe the solution space for the following LP model: Maximize: 2x1 3x2 Subject to:...
QUESTION 15 Describe the solution space for the following LP model: Maximize: 2x1 3x2 Subject to: 1: 2x1 3x2 2 18 2: 4x1 2x2 2 10 x1, x2 20 Multiple optimal solutions O Infeasible None of the above QUESTION 16 Describe the solution for the folowing LP model: Maximize: 2x1 3x2 Subject to: 1:4x1 +5x2 2 20 2: 3x1 2x2 212 x1, x2 20 A single optimal solution O Infeasible Multiple optimal solutions None of the above QUESTION 17 In...
Exercise 4: Answer both (a) and (b) for full credit. Consider the following LP problem: Maximize...
Exercise 4: Answer both (a) and (b) for full credit. Consider the following LP problem: Maximize Profit Objective Function: $1X1 + $1X2 Subject to: 2X1 + 1X2 s 100 1X, + 2X, s 100 a) What is the optimal solution to this problem? Solve it graphically. b) If a technical breakthrough occurred that raised the profit per unit of X, to $3, would this affect the optimal solution? Show it graphically.
Solve the following using graphing techniques: a. Maximize 2x1 + 3x2 subject to the constraints, 2x1 + 2x2 < 8,X1 + 2x25 4, and X1 > 3, x2 > 0
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
QUESTION 15 Describe the solution space for the following LP model: Maximize: 2x1 3x2 Subject to: 1: 2x1 3x2 2 18 2: 4x1 2x2 2 10 x1, x2 20 Multiple optimal solutions O Infeasible None of the above QUESTION 16 Describe the solution for the folowing LP model: Maximize: 2x1 3x2 Subject to: 1:4x1 +5x2 2 20 2: 3x1 2x2 212 x1, x2 20 A single optimal solution O Infeasible Multiple optimal solutions None of the above QUESTION 17 In...
Exercise 4: Answer both (a) and (b) for full credit. Consider the following LP problem: Maximize Profit Objective Function: $1X1 + $1X2 Subject to: 2X1 + 1X2 s 100 1X, + 2X, s 100 a) What is the optimal solution to this problem? Solve it graphically. b) If a technical breakthrough occurred that raised the profit per unit of X, to $3, would this affect the optimal solution? Show it graphically.
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