Prove that the number of feasible solutions of an LP problem (in canonical form) is either 0, 1, or infinity.

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Q: The optimal solution of a linear programming problem is always on the border of the feasible region.…

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Q: Consider the primal problem Max. z = c'x, s. t. Ax <b, x 20. If the dual problem has a feasible…

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Q: 3. Find three positive integers x, y, and z if their sum is 30 and the sum of the square is a…

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Q: The number of constraints in each of the following hypotheses is (1) B1 + B2 = B3 = B4 (ii) Bz and…

A: The constraints are nothing but the total number of equations involved in the given hypothesis.…

Q: Express Constraint 1 to mathematical statement. 0.8x1 + 0.2x2 + 0.2x3 + 0.2x4 = 0 0.8x1 - 0.2x2 -…

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Q: Suppose a problem is in canonical form and the associated basic feasible solution is degenerate, and…

A: Consider the provided question, We have to describe a new basic feasible solution. In a system,…

Q: Which of the following statement is not true? * Bounded feasible regions have both a minimum and a…

A: If the feasible region is bounded then the objective function has both maximum and minimum. So…

Q: Consider a canonical LP problem. If it has an optimal solution, then it has a basic optimal…

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Q: B. Prove that the ordered pair (5,5) is a solution of the linear inequality y2 2x-5. hint:…

A: y≥2x-55≥2(5)-55≥10-55≥5 True

Q: By using Gauss-Jordan method, the solution of set following above equations will be 2x1 – 4x2 + 6x3…

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Q: 11. Where there is a continuous range of possible outcomes, and each point n that range is as likely…

A: It is an important part of statistics. It is widely used.

Q: What is the probability that the equation x 2 + 2kx + m has at least one real root where k and m are…

A: Assuming the equation to be: f(x)=x2+2kx+m   A quadratic equation has 2 roots. It can either have 2…

Q: Prove the following theorem Theorem: Consider a canonical LP problem. If it has an optimal solution,…

A: consider a canonical LP problem  to prove- if it has opitmal solution then it has basic optimal…

Q: Graph the system of inequalities from the given problem, and list the corner points of the feasible…

A: Given that,  3x1+7x2≤42x1+2x2≤13x1,x2≥0 To list the corner points of the feasible region.  The…

Q: 1. Give a 2-dimensional example of an LP with no feasible solution. Explain, in a sentence or so,…

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Q: Solve the following Integer Programming problem Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35…

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Q: First, find a feasible solution of the following LP problem 4). in standard form. Then, convert the…

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Q: Consider the following polyhedron P = {x € R³ : 2.x1–x2+x3 -1, –2x1+x2+x3 = 0, x2+x3 > -1}. Decide,…

A: We are given the following polyhedron.        P=x∈ℝ3 : 2x1-x2+x3≤-1, -x1+2x2≤2, x1+x3≥-1,…

Q: Consider the following L.P. Problem: Max.Xo= 3 x1 +12 x2 Subject to: 2x1 + X2 ≤12 3x1 + 4X2 ≥ 21…

A: The given LPP is            Max   X0=3x1+12x2 subject to:           2x1+x2≤123x1+4x2≥21x1≥3x1≥0,…

Q: Prove that if a canonical LP problem has two optimal solutions then it has an infinite number of…

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Q: Consider the LP problem: Maximize z = 2x1+3x2 subject to 2x1+x2 0. 1. Graph the feasible region for…

A: 1. Given Lp is, Max z=2x1+3x2Subject to,2x1+x2≤4x1+2x2≤5x1,x2≥0

Q: What is the requirement of initial basic feasible solution in transportationProblem.

A: It should be not contain n+m-1 non negative places where n is number of rows and m is number of…

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Q: 2. Read each of the following statements carefully and check whether it is true or false. a. In a…

A: We have found the answer as given below

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Q: 3- a) Identify an optimization problem that has feasible solutions but not an optimal solution. b)…

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Q: A sausage company makes two different kinds of hot dogs, regular and all beef. Each type of hot dog…

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Q: Four people are lining up to go on a water-slide, but only two of the four are willing to take the…

A: It is given that four people are lining up to go on a water-slide, but only two of the four are…

Q: A  sausage company makes two different kinds of hot dogs, regular and all beef. Each type of hot dog…

A: Given Each pound of all-beef hot dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound…

Q: Part A: “Infeasibility means that no solution to the LPP satisfies all the constraints, including…

A: Infeasibility exists when the given LPP has no solution. This means there is no value that satisfies…

Q: y 1/(1 + C1e*) is a one-parameter family of solutions of the first-order DE y' y-y?. Find a solution…

A: Variable separable form of differential equation: Let us consider differential equation:…

Q: Consider the following linear program: MIN X + 2 X2 #1) # 2) # 3) X+ X2 2 X1 + X2 X1+2 X2 X, X2 20 S…

A: MIN Px=x1+2x2 subject to x1+x2≤6 2x1+x2≥8x1+2x2≥7and x1, x2≥0

Q: The number of constraints in each of the following hypotheses is (1) B1 + B2 = B3 = Ba B1 B2 (ii) =…

A: Given Information: Consider the given hypotheses:     i β1+β2=β3=β4ii β1β2=β3 and β4=1iii β1=1 and…

Q: Write a dual problem of the following primal problem, and find optimal solution to the dual problem…

A: Primal problem is converted to dual problem  If Objective function of primal problem is maximum…

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Q: A manufacturer can sell product 1 at a profit of $2/unit and product 2 at a profit of $5/unit. Three…

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Q: Ingredient Kilo of Corn Kilo of tankage Kilo of alfalfa Min Daily Requirement Carbs 90 20 40 200…

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Q: A farmer has 40 acres of land on which he plans to grow coffee, mango, and coconut. Each acre of…

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Q: Give the corners of the feasible set and the maximum and minimal value.

A: In any LPP , first write equations  as follows.Now we will plot the three lines of the constraints…

Q: Consider the following optimization problem: max       x1 + 2x2              -x1 + x2 >= -4…

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Q: A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95…

A: What is Linear Model: A linear model depending on single variable is a linear function. It is a…

Q: Express Constraint 4 to mathematical statement О х4 - х2 0 О х2 - х4 >3D 0

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