Solve using the duality linear programming method of the following problem: Object Function: F = X1+X2+4X3 Subjected to: X1+2X2+3X3 ≥ 115 2X1+X2+8X3 ≥ 200 X1+X3 ≥ 50 X1,X2, X3 ≥ 0 Note: Please make sure to use the duality linear programming method
Q: Explain what is meant by the feasible region and feasible solution of a graphical linear programming…
A: It is a linear optimization approach used to find the optimum solution to the problem at hand. A…
Q: Construct one example for each of the following types of two-variable linear programs. •Infeasible.…
A: Below is the solution:-
Q: Solve using the duality linear programming method of the following problem: Object Function: F =…
A:
Q: Consider the following linear programming problem: Maximize 12X + 10Y Subject to:…
A: Below is the solution:-
Q: A farmer has 5 hectares of land to plant with rice and corn. He needs to decide how many hectares of…
A: THE ANSWER IS AS BELOW:
Q: Solve the following linear programming problem using the graphical method and answer the following…
A: Note: Since you have posted a question with multiple subparts, we will solve the first three…
Q: Consider the following set of constraints (Maixmization problem): 43X+ 86Y>= 29, and 129X+ 43Y >=…
A: Maximization fundamentally indicates trying to maximize/minimize the value of this linear function,…
Q: *Find the solution to the following linear programming problem by dual simplex method Min Z= 2X₁+4X,…
A:
Q: Consider the following problem. Max Z-x₁ + 4x₂ Subject to: - 3x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 4 X₂ ≥-3 X₁…
A: Simplex algorithm is a method in linear programming, which is used to calculate the optimal…
Q: Solve the following Linear programming problem using the simplex method:Maximize Z = 10X1 + 15X2 +…
A: Given MAX Z = 5x1 + 10x2 + 8x3subject to3x1 + 5x2 + 2x3 <= 604x1 + 4x2 + 4x3 <= 72and x1,x2,x3…
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: Use the graphical solution procedure to find the optimal solution. b. Assume that the objective…
A:
Q: Minimize Z = -4x1 + x2 Subject to 8x1 + 2x2 =>16 4x1 + 2x2 =0 Identify the feasible solution area…
A:
Q: Solve the following Linear programming problem using the simplex method: Maximize Z = 10X1 + 15X2 +…
A: We will answer the first question since the exact one wasn't specified. please submit a new question…
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: Consider the following LP problem with two constraints: 32X + 39Y >= 1248 and 17X + 24Y >= 408. The…
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: Given the following 2 constraints, which solution is a feasible solution for a minimization problem?…
A: The points x1 and x2 become feasible when they satisfy both constraints.
Q: suppose a linear programming (maximation) problem has been solved and that the optimal value of the…
A: This might affect the optimal value of the objective function as follows
Q: Formulate an integer programming model for this problem and solve it by using the computer.
A: Linear programming refers to an optimization method for maximizing or minimizing an objective…
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: Consider the following linear programming problem: MIN Z = 3x1 + 2x2 Subject to: 2x1 + 3x2 ≥ 12 5x1…
A: The model in MS-Excel (R)
Q: Solve the following problems using Excel Solver or R Studio. A company produces cars in Atlanta,…
A: Hereby referring to the Tables given above in the problem Presently to decide the…
Q: An operations research analyst for a communications company has the following LP problem and wants…
A: Given, Max Z = 50X1 + 20X2S.T: 2X1 + X2 < 200X1 + X2 < 350Xl + 2X2 < 275
Q: Solve the linear programming problem using the simplex method. Maximize z= 2x, + 3x2 subject to 5x1…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Solve the following linear programming problem using the graphical method and answer the following…
A:
Q: Consider the following set of constraints: 48Y >= 7296; 0.25 X + 12Y >= 1824, and X + Y <= 152. Pick…
A:
Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…
A:
Q: Solve the following problem using graphical linear programming.Minimize Z = 8x1 + 12x2 Subject to…
A: The feasible region for the problem moves away from the encompassing the points shown above.…
Q: Explain the number of feasible solutions in a linear program and the ones we need to analyse to find…
A: A viable solution is a collection of all potential values for the decision variables specified.…
Q: Formulate a shortest path model to minimize the cost of meeting the demand for boxes. Box 1 2 3 4…
A:
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: Construct one example for each of the following types of two-variable linear programs. Feasible…
A: THE ANSWER IS AS BELOW:
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: Solve the following LP problem Maximize Z(x1,x2) = 3x1 + 2x2 Subject to 2x1 + x2 < 12 - x1+ x2 < 3…
A: Below is the solution:-
Q: A Power company has three plants that supply the need of three cities (as shown in Table 2). Each…
A: City 1 City 2 City 3 Supply Plant 1 10 11 16 30 Plant 2 8 14 11 40 Plant 3 7 10 13 50…
Q: Consider the following linear programming model: Maximize 2X1 + 3X2 Subject to:…
A: The detailed solution of the question is given in Step 2.
Q: Consider the following linear programming problem: Maximize 4X + 10Y Subject to:…
A: THE ANSWER IS AS BELOW:
Q: A linear programming problem is given as follows: min Z = −4x1 + x2 Subject to 8x1 + 2x2 ≥ 16 4x1 +…
A: To draw constraint 8x1+2x2≥16 ..................................(1) Treat it as 8x1+2x2=16…
Q: Problem 4: Use the big-M method to solve the following linear program. 2x1 +2x2 +4x3 +4x2 +2x3 <4…
A: Big-M or Simplex method : The Big M technique is a simplex algorithm-based solution for tackling…
Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Minimize z = x…
A:
Q: They want to maximize profit. Formulate a linear programming model A refinery produces three grades…
A: here, selling and cost price are given. The difference between both I.e. profit will be maximized.
Q: If you add a constraint to an optimization model, andthe previously optimal solution satisfies the…
A: Yes, the solution will still be optimal with the new constraint added.
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: A linear programming problem is given as follows: Transform the problem into standard Solve the…
A: Objective Functions and Constraints: Based on the given details, the objective…
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: Find the optimal solution for the following problem. Maximize C = 4x + 12y subject to 3x +…
A: Formula:
Solve using the duality linear programming method of the following problem:
Object Function: F = X1+X2+4X3
Subjected to:
X1+2X2+3X3 ≥ 115
2X1+X2+8X3 ≥ 200
X1+X3 ≥ 50
X1,X2, X3 ≥ 0
Note: Please make sure to use the duality linear programming method.
Step by step
Solved in 3 steps with 7 images
- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?Solve the following Linear Programming model using the graphical method (USING EXCEL){Write the steps of construction} Q1)MaximizeH = x + 3y Objective functionsubject tox + y ≤ 502x + y ≤ 60 x ≥ 0, y ≥ 0Graph the following systems of linear Inequalities, shade the solution/feasible region and indicate if solution/feasible region is bounded or unbounded Sy-3x <3 (3y 2 x+3 10 1. 8 2 2. 8 10 -10 -8 -6 -4 -2 -2 46 -4 -6 -8 -10
- Which of the folowing linear programming model has an unbounded feasible region? = 3x + 2y subject to the following : O max z x+ y34 *< 10 – 4y x20 y20 O None of the above O max z = 3x + 2y subject to the following : x+ 2y <4 x- ys1 x20 y20 O max z = 4x +2y subject to the following : x + 2y 24 3x + y27 -x + 2y s7 x20 y20Can you solve this problem?thank youProblem 2: Applications of Linear Programming: Visa Inc. Stock sells for $92 a share and has 3-year average annual return of $20 a share. The beta value is 1.06. JP Morgan Chase and Co. sells for $87 a share and has a 3-year average annual return of $17 a share. The beta value is 1.21. Derek wants to spend no more than $15,000 investing in these two stocks, but he wants to earn at least $2500 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy.
- Problem 8-21 (Algorithmic) Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows: Rental Class Room Super Saver Deluxe Business Type I $30 $35 — Type II $20 $30 $40 Type I rooms do not have wireless Internet access and are not available for the Business rental class. Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 130 rentals in the Super Saver class, 60 rentals in the Deluxe class, and 50 rentals in the Business class. Round Tree has 100 Type I rooms and 120 Type II rooms. Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be…The captain of a cricket team has to allot five middle batting positions to five batsmen. The average runs scored by each batsman at these positions are as follows: Batsman Batting position IV V P 40 40 40 35 25 50 Q 42 30 16 25 27 R 50 48 40 60 50 S 20 19 20 18 25 T 58 60 59 55 53 • Batsmen 'U' with the following average runs in batting positions as given below: Batting position IV V Average runs 45 52 38 50 49Obtain the initial basic feasible solution using all the three methods.
- please answer the following question a , b, c, d using execl solver ?The High-Price Oil Company owns a pipeline network that is used to convey oil from its source to several storage locations. A portion of the network is as follows: Due to the varying pipe sizes, the flow capacities vary. By selectively opening and closing sections of the pipeline network, the firm can supply any of the storage locations. a. If the firm wants to fully utilize the system capacity to supply storage location 7, how long will it take to satisfy a location 7 demand of 100,000 gallons? What is the maximal flow for this pipeline system? b. If a break occurs on line 2–3 and that line is closed down, what is the maximal flow for the system? How long will it take to transmit 100,000 gallons to location 7?A retail store in Des Moines, Iowa, receives shipments of a particular product from KansasCity and Minneapolis. Let x 5 number of units of the product received from Kansas City y 5 number of units of the product received from Minneapolisa. Write an expression for the total number of units of the product received by the retail store in Des Moines. b. Shipments from Kansas City cost $0.20 per unit, and shipments from Minneapolis cost$0.25 per unit. Develop an objective function representing the total cost of shipments to Des Moines. c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Des Moines. d. No more than 4000 units can be shipped from Kansas City, and no more than 3000 units can be shipped from Minneapolis in a month. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model…