Graph the feasible region for the system of inequalities. 5x+y< -3 x-y > 3
Q: Consider the following LP problem developed at •• B.9 Zafar Malik's Carbondale, Illinois, optical…
A: In order to solve the problem graphically, convert inequalities to equality for the constraints.…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
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: Identify if the given linear programming problem is a standard maximization problem. If it is a…
A: In real business, the resources are limited. Hence, organizations need to make decisions by…
Q: Find a solution using the Simplex method (BigM method) MIN Z = 5x1 + 3x2 subject to 3x1 + x2 = 3 4x1…
A: Given LP-Min Z = 5x1 + 3x2Subject to-3x1 + x2 = 34x1 + 3x2 ≥ 6x1 + 2x2 ≤ 4x1, x2≥0
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: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Max Z = 18x + 23y +10zSubject to14x + 16y +23z ≤569x + 0y +7z≤112x, y, z ≥0
Q: Min 4x1 + 6x2 s.t 2x1 + 2x2 ≥ 3, x1 + 3x2 ≥ 2, x1 +…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
Q: n using Excel to solve linear programming problems, the objective cell represents the a. value…
A: The objective function is a numerical equation that represents the manufacturing output target that…
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: Find the optimal solution for the following problem. Minimize C = 16x + 15y subject to 6x + 12y 2 19…
A:
Q: If each machines can be used 24 hours a day, and the profits on the Vista and Xtreme models are $50…
A: SOLUTION:
Q: Find the complete optimal solution to this linear programming problem. ObjectiveFunction : Minimize…
A:
Q: 3. Maximize: z = 11x1 + 16x2 + 15x3 subject to the following constraints X1 + 2x2 + r3 0
A: Decision Variable: x1, x2, and x3 are the decision variables. Objective function: Max Z = 11x1 +…
Q: Consider the following primal LP problem: Maximize X1 + 2X2 – 9X3 + 8X4 – 36X5 Subject to 2X2 – X3 +…
A: Given LP function, Maximize X1 + 2X2 – 9X3 + 8X4 – 36X5Subject to 2X2 – X3 + X4 – 3X5 ≤ 40 X1 – X2 +…
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: In the game shown below, Player 1 can move Up or Down, and Player 2 can move Left or Right. The…
A: Given data: Player 2 Player 1 Left Right Up 3, 2 2, 3 Down 0,9 1, 1
Q: Complete the firs iteration of the Simplex table for the following Maximization problem. Note: If…
A: in simplex method, to remove the inequalities from constraint equations, we add slack and surplus to…
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: Consider the problem to the right. Мaximize z= - 2x1 + 5x2 - 4x3 subject to - 5x2 + 2x3 s7 (a)…
A: Slack and surplus variables are used for the purpose of solving Linear Programming Problems (LPP).…
Q: Solve the linear programming problem by the simplex method. Maximize 40x+ 30y subject to the…
A: Objective function: Max Z = 40x+30y Constraints: x+y≤8-2x+3y≥15x≥0, y≥0
Q: Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning…
A: Given data is Objective function: Max Z=X1+X2 Subject to constraints: 1.) 2X1+1X2≤602.)…
Q: Q3:A/ Find the solution to the following linear programming problem by dual simplex method Min Z=…
A: It's important to remember that perhaps the conventional (primal) simplex approach is a method that…
Q: Based on the following sensitivity analysis, which of the following products would be considered…
A: Using the sensitivity report:
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: Consider the following integer linear programming problem. Маx Z - 4x +3у Subject to: 4x + 6y < 35…
A:
Q: 4 For each of the following, determine the direction in which the objective function increases: a z…
A: a) Z = 4x1 – x2 Based on the signs of the variables, it is clear that the objective function will…
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 company has 30,000 employees in three cities as shown in the table below. It wishes to give…
A: How to use Hamilton's Method Approach: First divide the total number of employees (30,000) with…
Q: 5. George Johnson recently inherited a large sum of money; he wants to use a portion of this money…
A: given, 6% for the bond fund 10% stock fund The total return of at least 7.5%
Q: Maximize Z = 2x1 + 5x2 + 3x3 subject to 2x2 + 2x1 + 4x2 + Т1> 0, 22 2 0, Хз > 0. (1) (2) X1 X3 > 20…
A: given,
Q: How will a change in the right-hand-side value for a constraint affect the optimalsolution?
A: Introduction of sensitivity analysis The type of changes that occurs in the Coefficients of a…
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: What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ?
A: Since X3 is not one of the basis variable in the solution, changing the coefficient from 6 to 3.8…
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: ndetify the constraints that form the fesible region and identify the constraints that are…
A: Redundant constraints are the constraints that will not change the feasible region if they are…
Q: Find the maximum and minimum values of the objective function p = 5x – 6y under the constraints y –…
A:
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: Consider the following linear programming problem: Maximize: 12X + 10Y Subject to: 4X +3Y ≤ 480 2X…
A: Max z = 12x + 10y subject to 4x + 3y≤ 480 2x + 3y ≤360 x,y≥ 0
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. Maximize z = 4x1 + 2x2, subject to 3x1 + x2 <…
A: Given Information: Maximize z = 4x1 + 2x2, subject to 3x1 + x2 < 22 3x1 +…
Q: Pierre-Hadrien is a pastry chef in the Parisian restaurant L'Excuse that serves crois- sants and…
A: Above question is actually Linear Programming problem, here, I have to first formulate the LP, then…
Q: Find the values of x1 and x2 where the following two constraints intersect. (Negative values should…
A: 12X1 + 11X2 = 56 ----------- Equation 1 3X1 + 5X2 = 15 --------------- Equation 2 Multiply…
Q: Solve the following linear program using the full tableau implementation of the Simplex Method. max…
A: Here, The LP formulation is given below: Max Z=60*X1+30*X2+20*X3 Constraints are stated below:…
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…
Step by step
Solved in 2 steps with 1 images
- Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3Long-Life Insurance developed a linear model to determine the amount of term life insurance a family of four should have, based on the head of the household's current age. The equation is: y = 163 -0.45xwherey = Insurance needed ($000)x = Current age of head of household Calculate the amount of term life insurance you would recommend for a family of four if the head of the household is 53 years old. (Round your answer to 2 decimal places.)Use Excel to solve the linear program, optimal solution and objective function value. A political candidate is planning his media budget for an upcoming election. He has $90,500 to spend. His political consultants have provided him with the following estimate of additional voites as a result of the advertising effort: for every small sign placed by the roadside, he will garner 20 additional votes for every larg sign placed by the roadside, he will garner 30 additional votes for every thousand bumper stickers placed on cars, the will garner 15 additional votes for every hundred personal mailings to voters, he will garner 40 additional votes for every radio ad heard in the last month, he will garner 485 additional votes The costs for each of the advertising devices, along with the practical minimum and maximum that should be planned for each, are shown on the following table. How should the candidate plan to spend his campaign money? Advertising Medium Cost…
- A company manufactures two products. If it chargesprice pi for product i, it can sell qi units of product i,where q1 = 60 - 3p1 + p2 and q2 = 80 - 2p2 + p1. Itcosts $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of eachproduct should the company produce, and what pricesshould it charge, to maximize its profit? Use spreadsheet modelling in ExcelWhat combination of x and y will yield the optimum for this problem? Maximize $10x + $4y, subject to (1) 5x + 3y ≤ 15 and (2) 3x + 6y ≤ 18 and (3) x, y ≥ 0.Use two phase method for solving Maximize: Z = 4X1 + 3X2 + 9X3 Subject to: 2X1 + 4X2 + 6X3 ≥ 15 6X1 + X2 + 6X3 ≥ 12 X1, X2, X3 ≥ 0
- A suburb of Dayton, Ohio, has four local dry cleaners that compete with each other on the basis of price and service speed. Each of them can perform the same basic services at the same level of quality. The following table provides the price that each dry cleaner charges to clean a two-piece suit, as well as the quoted number of days that the service will take. Dry Cleaner Price Number of Days A $ 8.00 3 B $ 9.50 3 C $ 9.00 2 D $ 7.50 4 Which of these dry cleaners are NOT on the efficient frontier?Use the two – phase simplex method Minimize Ζ = 3x1 + 2x2 + x3 Subject to x1 + 4x2 + 3x3 ≥ 50 2x1 + x2 + x3 ≥ 30 −3x1 − 2x2 – x3 ≤ −40 X1 , x2 , x3 ≥ 0Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. Given values – 144, -192, and 96 for Dx, Dy, and Dz respectively and D = 144. Then the solution to the system for x, y and z are: A. -1, -1.33, and 0.67 B. -0.47, -0.63 and 0,30 C. 0.5, 0.67 and-0.33 D. 0.73, 0.98 and -0.49
- Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z= 1X1+1X2 Subject to: 2X1+1X2≤72 (C1) 1X1+2X2≤72 (C2) X1,X2≥0Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 3x + 22y subject to 14x + 7y ≤ 35 5x + 5y ≤ 50 (x,y)= f=Consider the linear program max 4y_{1} + 5y_{2} s.t. - y_{1} + y_{2} <= 4 y_{1} - y_{2} <= 10 y_{1}, y_{2} >= 0 (a) Show graphically that the model is unbounded.