Which of the following statements is false? * In most cases, for the inequality with s, the corresponding solution set is the area below the line The feasible region is a set of values which satisfies ALL the constraints. The optimal solution is the pair of values for the variables that provide the maximum (or minimum) value for the objective function. O The optimal solution is not found in the corner points of the feasible region.

Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: Suppose the following graphical representation of feasible SolutiSnS point is the optimal solution?…

A: Given the graphical representation of feasible solution.

Q: What inequality constraints will give a unit square as feasible set in two dimensions? When slack…

A: In optimization theory, there are a number of ways to optimize problems. There are some variables…

Q: A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each…

A: Let's find.

Q: Write down (without solving) the dual LP problem. Minimize c = 3s + 3t + 2u subject to s  +  u ≥ 200…

A: To find Dual, Primal should be in Canonical Form.  Canonical form A linear program in its canonical…

Q: (b) Find the optimal value of the objective function of the following LP problem by directly solving…

A: To find the optimal value of the objective function of the LPP by directly solving its dual problem…

Q: For each of the following programs: (1) Sketch the feasible region of the program and the direction…

A: Solution a: Given that maximize     -2x1+12x2subject to x1-x2≤12x1-x2≥12x1+2x2≥4x1, x2≥0 The…

Q: A feasible solution requires that all artificial variables are

A: A feasible solution requires that all artificial variables are

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: The LPP is given by: Maximize and minimize p=2x-y subject to x+y≥5x-y≤5x-y≥-5x≤15, y≤15 Plotting the…

Q: Set up the simplex tableau. Do not solve. Maximize z = 145x1 + 230x2, subject to 85x1 + 64x2 < 560…

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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: You are given a feasible reglon. Find the maximum and minimum (if they exist) for the given…

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Q: Find the maximum value of the objective function бх + бу subject to the constraints -7y < -7, x 2 2,…

A: Given: The constraints, 7y≤-7x≥26x+4y≤582x-3y≥-11 To find: Maximum value of objective function 6x+6y…

Q: 3) Graph the set of constraints and find the vertices of the feasible region. Then use the obtained…

A: Here we solve this problem of linear programming problem...

Q: Write down (without solving) the dual LP problem. (Let the variables s and t correspond to the first…

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Q: Q#5. Given the region of feasible solution in the figure below. Identify the nature (type) of each…

A: Solution (a)(1.) 1st constraint will be of less than or equal, inequality type.(2.)  2nd  constraint…

Q: The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition…

A: Here is the Answer and Explanation

Q: A company sells four types of boxes (B1,.,B4), ranging in size from 24 to 33 cubic feet (size is…

A: Formulation of the shortest path problem is as below:- For j&gt;i let xij = 1 if a type i box is…

Q: Write down (without solving) the dual LP problem.

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: We have to find P value and point.

Q: Consider the following constrained maximization problem:maximize y = x1 + 5 ln x2subject to k - x1 -…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 05. What is the maximum value of the objective function C = 5x + 2y subject to the given constraints…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: The objective function  z = 4x + 7y  is subject to the constraints 3x + y ≥ 12 x + y ≥ 6 x ≥ 0…

A: Draw the equations of constraints and determine its region.

Q: (ii) The inequation for constraint 4 can be written as <25. All constraints are shown on the graph…

A: a) i) x+y&gt;=30 ii) y&lt;=25

Q: Which of the following statements is false?       A) In most cases, for the inequality with ≤, the…

A: As we know that optimal solution (that is minimum or maximum) are occurer in always boundary point…

Q: If we remove one of a non-redundant constraint from an LP problem then Feasible region will become…

A: This is a linear programming problem

Q: Solve the following problem using graphical method. Show all the feasible solutions and obtain the…

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Q: Maximize the objective function subject to the constraints 3x + y ≤ 15, 5x + 3y ≤ 33, x ≥ 0, and y…

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Q: max Z = x1 + 3x2 + 5x3 4.x1 + 3x2 + 6x3 0 Say we use x4, X5 as slack variables for the first and…

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Q: (3, 6) (1, 4) 2 (0, 1) (0,0) 4 8 6, 2.

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Q: - Part 1 Find the maximum value of the objective function 8y — 2х subject to the constraints 9х —…

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Q: Part Find the maximum value of the objective function 3z – Dy subject to the constraints -9y < 0, I…

A: Given a linear programming problem, Maximise       3x-9y Subject to        -9y≤0x≥07x+2y≤63x+7y≤56…

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

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Q: Find the maximum value of the objective function 7у — 4х subject to the constraints 2х — 7у 2 -31,…

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

A: Bounded feasible regions have both a minimum and a maximum value. This statement is true.

Q: A small country's simple progressive income tax schedule is to charge 12% on all income below…

A: We have to make the inequality constraints from the given information. let us assume the income = x.

Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: Consider the feasible set as given in the problem where three of the boundary lines are labelled…

Q: In the feasible area on a graph the following points are the vertices: (0,0), (0,5), (4,10),…

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Q: Using the grometrik pproach we wart to Maximier the objective function 2-72+y subject to the…

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Q: n individual wishes to invest $25000 in two types: Investment A yields 15%, and investment B yields…

A: *answer:

Q: (a) Prove that the set of feasible solutions of the problem is bounded. (b) Find all basic feasible…

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Q: Q1\A) Put True or False for the following questions: 1. A solution of linear programing problem is…

A: We have following true or false questions Note: According to Bartleby expert guidelines, we can…

Q: Write down (without solving) the dual LP problem. (Let the variables s and t correspond to the first…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: We have give a feasible set in the figure. we have to find the least value of the point in given…

Q: The shaded region in the given figure above illustrates an unbounded feasible region. Which of the…

A: Option 1 is correct because maximum can be infinity in case of unbounded feasible region

Q: Which of the following statements islare not correct? * i. It is possible to have more than one…

A: given the both statements are correct when objective function is parallel to any f the constraints…

Q: The maximum problem is not in standard form. Determine if the problem can be modified so as to be in…

A: Linear programming problem