Why any LP with an optimal solution has an optimal basic feasible solution?
Q: Two investments with varying cash flows (in thousands of dollars) are available, as shown in the…
A: Answer is given below .
Q: Why LP has only a finite number of basic feasible solutions?
A: Ans-: In the theоry оf lineаr рrоgrаmming, а bаsiс feаsible sоlutiоn (BFS) is а…
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A:
Q: Maximize subject to 0≤x≤ 31. f(x)=x³60x² + 900x + 100, 14.3-7 (a) Use the first and second…
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A: Answer: our guidelines is answer the first three question from the first question.
Q: Given the following LP, what is the dual objective function? Maximize 2x₁ - 3.x2 subject to x₁ + x₂…
A: Question is about Maximize So Dual is Minimization. So Option d is incorrect. Dual has two variables…
Q: It is unclear why each LP has an optimal fundamental feasible solution.
A: An optimal solution to a linear program is the solution which satisfies all constraints with maximum…
Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…
A: Minimum Z=10x1+25x2 Subject to, 4x1+3x2≤93x1+x2 ≤94x1 ≤8 Replace all the inequality…
Q: 2. If an optimal solution can be created for a problem by constructing optimal solutions for its…
A: A problem has an optimal substructure if its optimal solution can be created from the optimal…
Q: Differentiate feasible and optimal solution.
A: The answer is
Q: Find a feasible solution or determine that no feasible solution exists for the following system of…
A: We have:
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A: Linear programming is the method of optimising the operations with some constraints. The main…
Q: Solve the following graphically: Max z = 3x1 + 4x2 subject to x1 + 2x2 ≤ 16…
A: Given: Max z = 3x1 + 4x2 subject to x1 + 2x2 ≤ 16…
Q: Convert the following optimization problems to a Linear Program. Write the equivalent LP…
A: Here we identify issue and resolve it:…
Q: Solve the following LPP by graphical Method Maximize Z =22X1+18X2 Subject to constraints:…
A: Given that 960x1 + 640x2 ≤ 15360
Q: Solve the following LP optimization problem using the simplex method: maximize 40x + 30 subject to x…
A: Below is the complete solution with explanation in detail for the given question.
Q: Solve the following equality-constrained optimiza- tion problem using Newton descent algorithm with…
A: CODE from math import exp # USING CONSTRAINT 1 # x = 1 + 5z # USING CONSTRAINT 2 # y = 4 - z #…
Q: If the optimal solution of a linear programming problem with two constraints is x=5, y=0, s1=3 and…
A: Given that, The two constraints is x=5, y=0, s1=3 and s2=0.
Q: a) Consider the following instance of knapsack problem where…
A: The basic idea of the greedy approach is to calculate the ratio value/weight for each item and sort…
Q: Which of the following algorithms can be used to find the optimal solution of an ILP? (a)…
A: This question comes from Nunber Theory which is a paper of Computer Science. Let's discuss it in the…
Q: Question 31 An optimal solution is only optimal with respect to a particular mathematical model that…
A: Below is the answer to above question. I hope this will be helpful for you...
Q: Use the Simplex approach to solve the following LP problem: Maximize z = 3…
A: Given Maximize z = 3 X1 + X2 Subject to: 2…
Q: uaranteed to find an optimal solution
A:
Q: Question #5: Solve the following LPP by graphical method Maximize Z = 22x1 + 18x2 Subject to…
A: Soution: Given that 960x1 + 640x2 ≤ 15360 Let 960x1 + 640x2 = 15360 3x1 + 2x2 = 48 x1 0 16 x2 24 0…
Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…
A: The Maximum value of Z = 4X1 + 14X2 subject to given conditions is 42, with X1 = 0 and X3 = 3. You…
Q: What is the difference between feasible solution and optimal solution?
A: Feasible Solution: A feasible solution is a set of values that satisfy all of the constraints in an…
Q: It is unclear why any LP with an optimal solution also has an optimal basic viable solution.
A: LP with an Optimal Solution: The viable option with the highest objective function value is the…
Q: Show that the dual of the max flow problem has always an integer optimal solution.
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A: To do: Given Mcq
Q: CSPS Consider the following (normal-form) game. Formulate the problem of finding a pure Nash…
A: The solution for the above given question is given below:
Q: Choose the correct solution relying on .the following options Time (Hours) Worker Job 1 Job 2 Job 3…
A: The preceding question is about job costs. It is assumed that there are four jobs available for five…
Q: egion in the given punog feasible region. Which of the following is true? I. The maximum value for…
A: Answer Option C => I and II
Q: Usingthe following coindenominationsas an example: 1, 5, 20 and23, explain whythegreedy solution for…
A: Answer : Yes , for non - canonical coin it will not provide a correct answer.
Q: The reason why each LP with an optimum solution also has an optimal basic viable solution is not…
A: Introduction: The value of the objective function is well-defined in a favorable solution to an LP…
Q: Given the following graphical solution, the feasible area is C a. None of the answers b. EGP C. GCO…
A: Task : Given the graphical solution. The task is to find the area that represents the feasible…
Q: Problem: Solve the following equality-constrained optimiza- tion problem using Newton descent…
A: Solution: Python Program : from math import exp # USING CONSTRAINT 1 # x= 1+5 z #USING CONSTRAINT 2…
Q: If a feasible solution to the primal minimization problem is 85, then 90 could be a feasible…
A: A feasible solution is a set of values for the decision variables that satisfies all of the…
Q: 1. Consider an instance of the Knapsack Problem without repetitions with 4 items, having weights and…
A: Given weights and values are, weight value Item 1 2 12 Item 2 7 28 Item 3 10 30 Item 4…
Q: Q5/ by using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z.…
A: Here, I have to answer the above question.
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Q: In a two-class, two-action problem, if the loss function is A11 A12= 10, and A21 = 1, write the…
A: Given, λ11=λ=0λ12=10λ21=1 We have to write the optimal decision rule.
Why any LP with an optimal solution has an optimal basic feasible solution?
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- What is the difference between feasible solution and optimal solution?QUESTION 9 What is one advantage of AABB over Bounding Spheres? Computing the optimal AABB for a set of points is easy to program and can be run in linear time. Computing the optimal bounding sphere is a much more difficult problem. The volume of AABB can be an integer, while the volume of a Bounding Sphere is always irrational. An AABB can surround a Bounding Sphere, while a Bounding Sphere cannot surround an AABB. To draw a Bounding Ball you need calculus knowledge.If it is possible to create an optimal solution for a problem by constructing optimal solutions for its subproblems, then the problem possesses the corresponding property. a) Subproblems which overlap b) Optimal substructure c) Memorization d) Greedy
- Question 31 An optimal solution is only optimal with respect to a particular mathematical model that provides only a representation of the actual problem. O True O FalseWhich of the following algorithms can be used to find the optimal solution of an ILP?(a) Enumeration method;(b) Branch and bound method;(c) Cutting plan method;(d) Approximation method.If it is possible to construct an optimal solution for a problem by constructing optimal solutions for its subproblems, then the problem possesses the specified property. a) Overlapping subproblems; b) optimal substructure; c) memorization; d) greedy
- Solve the following problem and find the optimal solution.Choose the correct solution relying on .the following options Time (Hours) Worker Job 1 Job 2 Job 4 1 10 15 15 2 12 8 16 3 9 12 18 4 12 15 18 5 16 12 8 12 The optimal assignment time is equal to 25 O The optimal assignment time is equal to 23 The optimal assignment time is equal to 30 No one of them The optimal assignment time is equal to 37 O 266 Job 3 10 20Prove that any LP optimization problem can be transformed into the following form: minimize 0 · x subject to Ax = b, x >= 0 If the LP is feasible, then it has an optimum value of 0 If the LP is not feasible, then it has an optimal value of infinity Explain what is the dual of this LP.