May I have the linear programming graph (or model) or plot with the given following information? 3 variables and 8 contraints Objective - Zmax = 1.85R+2.1D+2.15H Constraints: 0.15R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.15H ≤ 7500 0.25R + 0.2D + 0.15H ≤ 7500 0.10R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.20H ≤ 7500 R ≥ 10000 D ≥ 3000 H ≥ 5000
Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…
A:
Q: Ravi Behara, the managing partner at a large law firm in Virginia, must assign three clients to…
A:
Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Your employer is trying to select from a list of possible capital projects. The projects, along with…
A: Linear programming is a simple technique in which we use linear functions to represent complex…
Q: Minimize Z = -4x1 + x2 Subject to 8x1 + 2x2 =>16 4x1 + 2x2 =0 Identify the feasible solution area…
A:
Q: Answer the following multiple choice question with respect to this 3 variable linear programming…
A: Following is the given information: Maximize: 5X1 + 2X2 + 7X3 Subject to constraints: X1 + 10X2 +…
Q: Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 6x1 + 5x2 ≤ 28…
A:
Q: A farmer has 500 acres of available land and $100,000 to spend. He wants to plant the combination of…
A: Objective Functions and Constraints: Based on the given details, the objective…
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: 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: A) Use graphical methodto solve following LP problem. Maximize z = 2x, + x; subiect to the…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Here, It is part of Operations Management question, LP problem is as stated below: MAXIMIZE: Z = 14…
Q: a) Use the Simplex Method with Artificial constraints to determine the optimal solution to the…
A:
Q: the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: MAX Z = 8x1 + 8x2subject to7x1 + 9x2 >= 1610x1 + 10x2 >= 22and x1,x2 >= 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: Solve the following problem with Excel Solver:Maximize Z = 3X + Y.1 2X + 14Y ≤ 85 3 X + 2Y ≤ 18Y≤ 4
A: Formula:
Q: of There are three work centers (A, B, and C) in a factory that can each fit into three spaces (1,…
A: The matrix of work (trips per day) at three centers are shown: A B C A - 20 50…
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: Solve the following problems: 1. Identify the feasible region for the following set of constraints:…
A: PLEASE NOTE AS PER THE BARTLEYBY POLICY SOLVING FIRST QUESTION PLEASE POST OTHER QUESTIONS…
Q: Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 6x1 + 5x2 ≤ 28…
A: SOLVING IN EXCEL SOLVER INFORMATION FOR CELL FORMULAS : CONSTRAINTS : CELL I11 =…
Q: Nkrumah Farms encompasses 900 acres, and is planning to grow groundnut, soybeans, corn, and wheat in…
A: Part (A): Decision Variable:Suppose-G be the no. of acres of land allocated to grow groundnutS be…
Q: A furniture manufacturer produces two types of tables – country and contemporary – using three types…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: A linear programming problem is given as follows: max Z=−4x1+ x2 Subject to 8x1+2x2≥16 4x1+2x2≥12…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Consider the following set of constraints: -4X = 1792, and 2X + 2Y <= 256. Pick a right statement…
A:
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: The following linear programming model is used for maximizing the profit of producing four products…
A: Linear Programming is a mathematical modeling technique containing linear relationships that…
Q: A) Use the simplex method to solve the following LP problem. Maximize z = 3x, + 5x, + 4x, subiect to…
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: Given this linear programming model, solve the model and then answer the questions that follow.…
A: Note: Since you have posted a question with multiple subparts, we will solve the first three…
Q: A garden store prepares various grades of pine bark for mulch: nuggets (x1), mini-nuggets (x2), and…
A:
Q: Given the following LP model and answer questions below: Max. 23X1+ 9X2 + 18X3+14X4 S.T: 5X1 +8X2 +…
A: Note: - As we can answer up to three subparts we will answer the first three subparts here. If you…
Q: An auto manufacturer has orders from two dealers. Dealer D1 wants 29 cars, and dealer D2 wants 30…
A:
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A:
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: Use the graphical method to solve the following problem: max Z = 2x1 + x2 subject to: 3x1 + x2 ≤…
A: The objective function of the linear programming problem as given in the question is, Subject to…
Q: For the following problem, what would be the constraint that limits the capacity of Machine 1…
A: Given: The total capacity for Machine1 as mentioned = 500 hr. It takes 2hr, 3hr, 4hr,& 2hr for…
Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…
A: The linear programming model is used to maximize the profit or minimize the cost using the limited…
Q: Consider the following linear programming problem: Maximize 4X + 10Y Subject to:…
A: THE ANSWER IS AS BELOW:
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: Note: This problem requires the use of a linear programming application such as Solver or Analytic…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Max 30x1 x2 s.t. 2x1 x2 ≤ 4 2x1 2x2 ≤ 6 x1, x2 ≥ 0 (a) Solve graphically and state the optimal…
A: Note: - Since we can answer only up to three subparts, we will answer the first three subparts…
Q: Find the maximum and minimum values of the objective function p = 5x – 6y under the constraints y –…
A:
Q: Your employer is trying to select from a list of possible capital projects. The projects, along with…
A: Let xi be the binary number whether the project i is selected if 1, 0 if not The NPV must be…
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: 2. Solve the following problem using graphical method. Show all the feasible solutions and obtain…
A: Given data, Min Z = 2x1 + 9x2 Subject to constraints 2x1 + 2x2≥15 0x1 +4x2 ≤45 0x2 + 3x2 ≤80…
Q: Note: This problem requires the use of a linear programming application such as Solver or Analytic…
A: Maximize 1000x1 + 120x2 + 90x3 + 135x4 Subject to: 150x1+200x2+225x3+175x4 ≤ 15 Constraint 1…
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: A farmer has 100 acres of available land and $20,000 to spend. He wants to plant the combination of…
A: Minimize: W = 100y1+20,000y2 Constraints: y1+400y2≥120y1+160y2≥40y1+280y2≥60
Q: 4. Mathematical model and optimal simplex table of a LP problem are given below. Calculate lower and…
A: Find the Given details below: Based on the given details, the objective functions and constraints…
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: An individual wishes to invest PhP 50,000 over the next year in two types of investment: Investment…
A: Below is the solution:-
May I have the linear programming graph (or model) or plot with the given following information?
3 variables and 8 contraints
Objective - Zmax = 1.85R+2.1D+2.15H
Constraints:
- 0.15R + 0.2D + 0.25H ≤ 6000
- 0.25R + 0.2D + 0.15H ≤ 7500
- 0.25R + 0.2D + 0.15H ≤ 7500
- 0.10R + 0.2D + 0.25H ≤ 6000
- 0.25R + 0.2D + 0.20H ≤ 7500
- R ≥ 10000
- D ≥ 3000
- H ≥ 5000
Step by step
Solved in 2 steps with 7 images
- Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows: 14, 58, 912, 1316, and 1720. a. Find the optimal investments when at most one investment from each group can be selected. b. Find the optimal investments when at least one investment from each group must be selected. (If the budget isnt large enough to permit this, increase the budget to a larger value.)Given this linear programming model, solve the model and then answer the questions that follow. Maximize Z = 12x1 + 18x2 + 15x3 where x1 = the quantity of product 1 to make, etc. Subject to Machine: 5x 1 + 4x 2 + 3x 3 ≤ 160 minutes Labor: 4x1 + 10x2 + 4x3 ≤ 288 hours Materials: 2x 1 + 2x2 + 4x3 ≤ 200 pounds Product 2: x2 ≤ 16 units x1, x2, x3 ≥ 0 a) Are any constraints binding? If so, which one(s)? b) If the profit on product 3 were changed to $22 a unit, what would the values of the decision variables be? The objective function? Explain. c) If the profit on product 1 were changed to $22 a unit, what would the values of the decision variables be? The objective function? Explain. d) If 10 hours less of labor time were available, what would the values of the decision variables be? The objective function? Explain. e) If the manager decided that as many as 20 units of product 2 could be produced (instead of 16), how much additional profit would be generated? f) If profit per unit on each…Consider the following constraints from a two-variable Linear Program. (1) X ≥ 0 (2) Y ≥ 0 (3) 5X + 4Y ≤ 50 (4) 5X - 2Y ≤ 20 If constraints (3) and (4) are binding, what is the optimal solution (X, Y)? Answer choices (6, 5) (9, 5) (0, 20) (20, 0)
- Consider the following linear programming model with 4 regular constraints:Maximize 3X + 5Y (a) Draw your graph in the space below:subject to: 4X + 4Y ≤ 48 (constraint #1) 4X + 3Y ≤ 50 (constraint #2) 2X + 1Y ≤ 20 (constraint #3) X ≥ 2 (constraint #4) X, Y ≥ 0 (non-negativity constraints)(a) Which of the constraints is redundant? Constraint #______.Justify by drawing a graph similar to Figure 7.14 on p.263.(b) Is point (9,3) a feasible solution? _____. Explain your answer (by analyzing each of the constraints).Constraint #1: _______________________________________________________________Constraint #2: _______________________________________________________________Constraint #3: _______________________________________________________________Constraint #4: ______________________________________________________________Solve the following problem with Excel Solver:Maximize Z = 3X + Y.1 2X + 14Y ≤ 85 3 X + 2Y ≤ 18Y≤ 4Given the following 2 constraints, which solution is a feasible solution for a minimization problem? (1) 7 x1 + 3 x2 ≥ 21 (2) x1 + 3 x2 ≥ 6 Group of answer choices (x1, x2) = (2, 5) (x1, x2) = (1, 2) (x1, x2) = (0, 4) (x1, x2) = (0.5, 5)
- Hoosier Power needs to determine a capacity expansion plan to meet Bloomington’s power needs for the next 20 years. The current capacity is 5000 kwh. The demand for the current year is 4000 kwh, and demand is expected to increase by 1000 kwh in each succeeding year. At the beginning of each year, Hoosier Power must determine the amount of capacity to add, given the following inputs: ■ Any year in which capacity is added, a fixed cost of $120,000 is incurred plus a cost of $120 per kwh of capacity. ■ At most 10,000 kwh of capacity can be added in a single year. ■ It costs $25 per year to maintain a unit of capacity. ■ It costs $12 per year to produce a kwh. ■ If production does not meet demand, a shortage cost of $80 per kwh short is incurred. Develop a linear integer model to help Hoosier Power minimize its costs for the next 20 years.Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C = 17x + 19y subject to 8x + 14y ≥ 21 11x + 6y ≥ 31 and x ≥ 0, y ≥ 0. What is the optimal value of x and y? What is the minimum value of the objective function? Please show me step by step how to do this by hand, not through excel.What is Optimization? How many methods are there to calculate it? Explain this? 2- What do we mean by function Objective? What do we mean by constraints? 3- Give three practical examples (physical or engineering) of a target function with a constraint
- Consider the following primal LP problem:Maximize X1 + 2X2 – 9X3 + 8X4 – 36X5Subject to 2X2 – X3 + X4 – 3X5 ≤ 40 X1 – X2 + 2X4 – 2X5 ≤ 10 X1 ≥ 0, X2 ≤ 0, X3 ≥ 0, X4 ≥ 0, X5 ≥ 0 (a) Write the dual of the LP above, using variables Y1, Y2, etc.(b) Sketch the feasible region of the dual LP in 2 dimensions, and use the graphical method to find the dual optimalsolution (Plot an isovalue line corresponding to the feasible solution, move the line in improving direction, findthe last one touching the feasible region, and any point(s) on the intersection of the last isovalue line andfeasible region are optimal solutions)(c) Using complementary slackness conditions, - write equations which must be satisfied by the optimal primal solution X* - which primal variables must be zero?(d) Using the information in (c), determine the optimal primal solution X* (e) Compare the optimal objective values of the primal and dual solutionsConsider the following set of constraints: -4X <= -512; -28Y <= -3584; 0.5 X + 14Y >= 1792, and 2X + 2Y <= 256. Pick a right statement for this problem: a. Feasible region is represented by a line and multiple feasible points are available. b. The feasible region is defined by a single (unique) point. c. Feasible region does not exist. d. All the options are incorrect. e. Solution to this problem cannot be found without the objective functionFind the optimal solution for the following problem. Maximize C = 4x + 12y subject to 3x + 5y ≤ 12 6x + 2y ≤ 10 and x ≥ 0, y ≥ 0. What is the optimal value of x? What is the optimal value of y? (Round your answer to 3 decimal places.) What is the maximum value of the objective function? (Round your answer to 3 decimal places.)