Find the maximum and minimum values of the objective function p = 5x – 6y under the constraints y – 2x < 1 x > 2 3y + x > 3. Sketch the feasible region and mark all corner points.
Q: PERSON II PERSON II PERSON IV PERSON V PERSON I 9. 10 11 TASK A 3. 14 10 TASK B TASK C 3 TASK D 6. 4…
A: Assignment problem is a tool used by operations and project managers for optimizing costs. It is…
Q: *Find the solution to the following linear programming problem by dual simplex method Min Z= 2X₁+4X,…
A:
Q: 4. Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: An optimal solution is an achievable solution where the target work arrives at its greatest (or…
Q: What is the special case that is associated with the following Linear ?Programming problem Max Z=…
A: Linear programming is nothing but the simple approach where an individual can represent complex…
Q: Find the indicated maximum or minimum value of the objective function in the linear programming…
A: Here, Linear programming formation is given, there are two decision variables x and y, I would…
Q: *(a) Maximize z = 4x1 + 6x2 + 2x3 subject to 4x, - 4x2 -X, + 6x2 -X1 + x2 + x35 5 X1, X2, Xz 2 (0…
A:
Q: subject to X - 2x, + x, 2 20 2x, + 4.x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: according to u answering A given,
Q: Consider the following linear programming formulation: Min 5x + 2y Subject to (1)…
A: Note: Since you have posted multiple independent questions in the same request, we will solve the…
Q: Graph the feasible region for the system of inequalities. 5x+y 3
A: A feasible region is an area illustrated by a set of coordinates that fulfill a system of…
Q: Consider the following linear programming problem: MIN Z = 3x1 + 2x2 Subject to: 2x1 + 3x2 ≥ 12 5x1…
A: The model in MS-Excel (R)
Q: 24x1 + 2x2 + 20x3+4x4 s.t. 8x1 + x2 + 5x3+4x4≤ 9 x>0 x integer elaxation has an optimal objective…
A: Given: Max z=24x1+2x2+20x3+4x4 s.t 8x1+x2+5x3+4x4≤9 x≥0 x is integer ZLP*=36 x1=0,x2=0,x3=1.8,x4=0
Q: (b) Use the simplex method to solve the following LP problem. Maximize, Z = 3x1 +4x2 Subject to 2x1…
A: A small introduction about the simplex method: The simplex approach uses slack variables,…
Q: 2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be…
A: Below is the solution:-
Q: Find the optimal solution for the following problem. Minimize C = 16x + 15y subject to 6x + 12y 2 19…
A:
Q: Solve the following problem with Excel Solver:Maximize Z = 3X + Y.1 2X + 14Y ≤ 85 3 X + 2Y ≤ 18Y≤ 4
A: Formula:
Q: You are given the tableau shown in Table 74 for a maximization problem. Give conditions on the…
A:
Q: State the dual of the following and solve the same by the simplex method: Maximize Z = 4x + 2x₂…
A: The development of a primal-dual algorithm thus optimizes a dual program while improving primal…
Q: Note: This problem requires the use of a linear programming application such as Solver or Analytic…
A: Given data is
Q: Find the optimal solution of the following LP models. Maximize z= 15x1+20x2 Subject to: x1+2x2…
A: THE ANSWER IS AS BELOW:
Q: Solve the following linear programming problem using the graphical method and answer the following…
A:
Q: Suppose a linear program graph results in a number line for the binding constraints as follows: -3…
A: Give, Objective function- Max 5X1 + 10X2
Q: Consider the following set of constraints: 48Y >= 7296; 0.25 X + 12Y >= 1824, and X + Y <= 152. Pick…
A:
Q: Write the Dual Problem for the below Primal prblem: Min. Z = 6X1 + 3X2 S. T. 6X1 + 3X2 + X3 >= 2 2X1…
A: The dual problem is converted from the primal problem using the following rules. 1. Minimization…
Q: max z = 2x1 + 2x2 %3D x¡ + x2 < 6 2x, + x2 < 13 s.a. toda X; 2 0
A: Linear programming (LPP) is subject to linear restrictions. To put it another way, linear…
Q: For this problem clearly derive the Linear program -Graph this problem and clearly indicate the…
A: There is some issue with the pounds available of limestone. 1000 can not be the number if rough…
Q: Solve using the simplex method the following problem: Maximize Z=3X1 + 2X2 subject to: 2X1+ X2 ≤ 18…
A: Problem is Max Z = 3 x1 + 2 x2 subject to 2 x1 + x2…
Q: Consider the following integer linear programming problem. Маx Z - 4x +3у Subject to: 4x + 6y < 35…
A:
Q: Maximize C = 13x + 3y subject to 12x + 14y ≤ 21 15x + 20y ≤ 37 and x ≥ 0, y ≥ 0. What is the…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Find the Given details below: Objective Function: Max C = 5 x + 11 y…
Q: a) Write down the objective function of the Integer programming consistent with the goal of Ranchi…
A: Linear programming, often known as linear optimization, is a method for obtaining the best result…
Q: Consider the following problem. Max ZC₁x₁ + x₂ Subject to: x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 10 x₁, x₂ ≥ 0. Use…
A: Consider the constraint 1 as x1+x2=6 If x1 = 0, then x2 = 6 The point will be (0,6). If x2 = 0,…
Q: Consider the following linear programming problem: Maximize 4X + 10Y Subject to:…
A: THE ANSWER IS AS BELOW:
Q: Find solution using BigM (penalty) method. Maximize Z = x1 + 2x2 + 3x3 - x4 subject to the…
A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…
Q: Problem 2 Consider the following problem: max 2r1 + 7r2 + 4.r3 s.t. rį + 2x2 +x3 0. Use the dual of…
A: Given- MAX 2x1 + 7x2 + 4x3Subject to-x1+ 2x2+ x3≤103x1+ 3x2+ 2x3 ≤10x1, x2, x3≥0
Q: Min Z = x1 + 4x2 st. X1 + 2x2 < 20 (1) 3x1 + x2 < 18 (2) X1 < 12 (3) 2x, + 5x2 2 30 (4) X1 + x2 2 3…
A: For the above question, we have objective function, here, we would minimize the objective value. we…
Q: Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3
A: A feasible region is an area illustrated by a set of coordinates that fulfill a system of…
Q: Graph the following systems of linear Inequalities, shade the solution/feasible region and indicate…
A: Given Information: y – 3x < 3 3y ≥ x+3 or x-3y ≤ -3 To show them graphically, first the linear…
Q: subject to X1 – 2x, + x, 2 20 2x, + 4x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Compute the objective function value for the following problem: Min 260X + 65Y subject to : 2X>=0…
A:
Q: Use the simplex method to solve the linear programming problem. Maximize z = 900x, + 500x2 + 300x3…
A: Max Z = 900 x1 + 500 x2 + 300 x3 subject to x1 + x2 + x3 ≤ 130 2 x1 + 3 x2…
Q: Use the simplex method to find the optimal solutions of the following LP Problem. Max. Z = 7x1 + 5x2…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Use the simplex method to solve. Maximize z = 4x1 + 2x2, subject to 3x1 + x2 <…
A: Given Information: Maximize z = 4x1 + 2x2, subject to 3x1 + x2 < 22 3x1 +…
Q: between the left and right sides of a constraint. b. is the amount by which the left side of a ≤…
A: Answers are given below:
Q: Find the values of x1 and x2 where the following two constraints intersect. (Negative values should…
A: The detailed solution of the given question is in Step 2
Q: max TR = 8x, + 10x2 subject to 0.5x; s0 8x s 32 Sx: 2 10 X 20 6-1,2) -X + 4x, + Calculate the primal…
A:
Q: Find the solution using two-phase met hod Minimize Z = r+2x2 + 3x3-4 Subject to the constraints 5r,…
A: This question is related to the topic Decision Making and this topic falls under the business…
Q: Minimize Z = -5x1 + 4r2 subject to 213 x2 + 4r3 < 3 2x2 + 6x3 < 10 (1) (2) I1 2 0, x2 2 0, x3 2 0.…
A: GivenMIN Z = -5x1 + 4x2 - 2x3subject tox1 - x2 + 4x3 <= 33x1 - 2x2 + 6x3 <= 10and x1,x2,x3…
Q: Optimal solution 4T+3C=240 2T+1C=100 →T=30, C-40 Can you please explain to me the solution and way…
A: Given are the two equations with two variables. So it's easy to solve them through the normal…
Q: George Johnson recently inherited a large sum of money; he wants to use a portion of this money to…
A: Let bond fund = x1 stock fund = x2 Max Z = 6% x1 + 10% x2 or Max Z = 0.06 x1 + 0.1 x2…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
- Q1 Find the best solution for the following model using simplex MAX Z = 10X1 + 8X2 SUB TO: 4X1 + 2X2 < 80 X1 + 2X2 < 50 X1 2 0,X2 2 0Solve the following problem using Simplex Method and find the P value. Maximize: P = 3x + 4y subject to: x+ y 0Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:
- Graph the feasible region for the system of inequalities. 5x+y< -3 x-y > 3A survey was conducted to 12 first time voters on their preferred candidate. The results are: BBM, BBM, LR, IM, PL, PL, IM, IM, BBM, BBM, LR, LR. Which statement is true? The Borda score of PL is two points. BBM wins by plurality method. The Condorcet winner is IM. The modes are LR and IM Which of the following is a property of all linear programming problems? alternate courses of action to choose from minimization of some objectives a computer program usage of graphs in the solutionBriefly explain these terms:a. Basic variableb. Shadow pricec. Range of feasibilityd. Range of optimality
- Q2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 %3D using The Graphical Solution Method. a) Find the optimal solution, determine the solution type. b) Find the optimality range for the changes in the objective coefficient c2. c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one st. 3X1 + 2X2 < 12 Xị + 2X2 s 8 2X1 + X2 2 2 X1, X2 2 0 of the binding constraints.4 For each of the following, determine the direction in which the objective function increases: a z = 4x, - x2 b z = -x, + 2x2 C z = -x - 3x2Next question Use the simplex method to solve the linear programming prob z= 8x1 - 7x2 + 4x3 2x1 Maximize X2 + 8x3 s 40 4x1 - 5x2 + 6x3576 2x1 - 2x2 + 6x3< 32 X120, X2 20, хз 20. subject to Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is , X2 =, X3 = S2 = and s3 when X1 S1 = B. There is no maximum.
- Show that any 2 *2 matrix A that does not have aninverse will have det A= 0.2. Maximize z = 5x1 + 2x2 subject to: 2х + 4x, < 15 Зx, + х, < 10 with х, 2 0, х — 0.Ian Langella faces a decision how large his gasoline station should be. The annual returns wil l depend on both the size of his station and number of marketing factors related to the oil in dustry and demand for gasoline. Ian develop a careful analysis based on the following table: Size of first station Market condition Market conditon Market conditon Good Fair Poor Small 50,000 20,000 -10,000 Medium 80,000 30,000 -20,000 Large 100,000 30,000 -40,000 Very large 300,000 25,000 -160,000 Develop a decision table for this decision