Solve the following linear programming problem using the graphical method and answer the following questions. Maximize Z=2x,+10x2 Subject to 10x1+4x2240 X+6 x224 X1+2 x2s14 X, х220 1. Is any constraint binding? if so which one? Find the range of optimality for the coefficient in the objective function? Find the range of feasibility for each constraint's RHS? II. III.
Q: Construct one example for each of the following types of two-variable linear programs. •Infeasible.…
A: Below is the solution:-
Q: linear programming problems using the simplex method a) Formulate the problem as a linear program.…
A: Let P = potatoes, T = tomatoes, L = Lettuce, O = Onion
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: Given the following output for the optimal solution for a 4 variable (named BR, IC, COLA, and PC)…
A: Summary: In the given details, results show how much the objective coefficient may…
Q: *Find the solution to the following linear programming problem by dual simplex method Min Z= 2X₁+4X,…
A:
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A: a) Let the ounces of oats be x Let the ounces of rice be y Vitamin A Required: 8x + 6y > = 48…
Q: Malloy Milling grinds calcined alumina to a standard granular size. The mill produces two different…
A:
Q: Use the graphical solution procedure to find the optimal solution. b. Assume that the objective…
A:
Q: Set up and solve the following simple linear optimization model: MAX: 23.0 x + 16.9 y subject to: 3x…
A: Given that - MAX: 23.0x + 16.9y Subject to 3x + 4y ≥ 20 4x ≥ 10 5x + 1y ≤ 71 xy ≥ 0
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: 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: 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: 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: 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: Malloy Milling grinds calcined alumina to a standard granular size. The mill produces two different…
A:
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: Malloy Milling grinds calcined alumina to a standard granular size. The mill produces two different…
A: From he given data: We solve the sum in excel using solver option from data menu Given objective…
Q: Consider the following puzzle. You are to pick out 4three-letter “words” from the following list:DBA…
A: Conditions:- • The sum of the positions in the alphabet for the first letters of the four words…
Q: Canine LLC makes two types of dog food: Formula S and Formula X. They use linear programming model…
A: The linear programming problem can be solved in excel as follows: Step 1: Put the data onto the…
Q: Suppose the price of a BR increases from 50 to 60 and the price of a PC decreases from 80 to 50.…
A: Since you have asked a question with multiple sub-parts we will answer the first three sub-parts for…
Q: Determine the solution space and the optimum solution of the Reddy Mills model for each of the…
A: To acquire the arrangement space, first, register the conditions for the given free changes. The…
Q: Optimal solution The model variables of this model are defined as Xij for i=1,2,3 and j=1,2,3,4.…
A: Find the Given details below: Given details: Silos Mills 1 2 3 4 Offers 1 8 6 10 9 35…
Q: Bob Jones is the production manager for a furniture manufacturing company. The company produces…
A: The question is related to linear Programming and is the problem of maximization. In this profit…
Q: Consider the following set of constraints: 48Y >= 7296; 0.25 X + 12Y >= 1824, and X + Y <= 152. Pick…
A:
Q: Considering the equations shown in figure below as constraints. Determine the optimum solution of…
A: Note: - Since we can answer only up to 3 subparts, we will answer subpart a, b, and c for your…
Q: Write down the constrained optimization problem as a function of the Objective Function. Then, on a…
A: Linear programming is a mathematical technique that is also used in operations management…
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: 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: 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: LUXInyiun, Milwaukee, and Salt Lake City, and ships to 12 retail stores, located in Seattle, San…
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: Use linear programming and the graphing approach to find the optimal solution to the following…
A: Given Information:
Q: The Rainwater Brewery produces beer, which it sells to distributors in barrels. The brewery incurs a…
A: Given data is, Monthly fixed cost = $12,000 Variable cost = $17/barrel Maximize Z = vp - $12,000 -…
Q: The model was solved using solver and part of the results is provided in the table below. Use it to…
A: Given data: Solved LPP and Solver table is presented . To find: a) Resource constrains that are…
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: Consider the following LP model in standard form, with a row for the objective function Z. a) Put it…
A: Tableau FormThe variables x3, x4 and x5 are having negative coefficients and hence they will get a…
Q: . Solve each of these problems by computer and obtain the optimal values of the decision…
A: Excel model and formula: Solver input: Answer:
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: Two poultry farms supply companies with chicken feeds. The unit costs of shipping from the farms to…
A: Decision Variable: Suppose - x1 be the no. of chicken feeds supplied from farm A to Company 1 x2…
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: Consider the following LP problem. Minimire 2- 9.20x, + 5.90x2 Subject toi Constraint 1 Sx1 + 3x2…
A: a.
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: The manager of Jokitian Iron Works Company received an order to produce a number of pipes which…
A:
Q: An individual wishes to invest PhP 50,000 over the next year in two types of investment: Investment…
A: Below is the solution:-
Q: Construct one example for each of the following types of two-variable linear programs. •Feasible…
A: Objective Function: Maximize Z = 123 X + 138 Y Decision Variables: X…
Step by step
Solved in 2 steps with 2 images
- Q5) Consider the data below. Dest. 1 Dest. 2 Dest. 3 Dest. 4 SUPPLY Origin 1 12 18 9 11 100 Origin 2 19 7 30 15 50+13 Origin 3 8 10 14 16 150 DEMAND 60 100 80+13 60 Populate the relevant data using your group number below Calculate a solution using the northwest-corner rule. Calculate the cost of this solution. Calculate the solution using intuitive lowest cost method. Calculate the cost of this solution. Using the solution in (c), calculate improvement indices, iterate once. Can you achieve a better solution?Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (b) Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.Simplex problem Maximize: 10x1+6x2+3x3 S.t. X1+X2+2x3<=25 2x1+X2+4x3<=40 X1+2x2+3x3<=40 X1,X2,X3>=0
- Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P ≥ 0 non-binding constraint: R+(3/2) P≤900 binding constraints: (1/8) R+(1/4) P≤100 and (1/2) R+(1/3) P≤300 redundant constraint R+(3/2) P≤900 1. What is the range of the coeficient, c1, of the decision variable R that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2 2. What is the range of the coeficient, c2, of the decision variable P that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2Maximize P=x1+2x2+x3, Subject to: 3x1+x2+x3≤4 x1+x2+2x3≤4 x1,x2,x3≥0Q5.ABCCompany knows that the demand for its product during each of the next three months will be as follows: month 1, 2 units; month 2, 3 units; month 3, 2 units. At the beginning of each month, the company must determine how many units should be produced during the current month. During a month in which any units are produced, a setup cost of $2.5 is incurred. In addition, there are variable costs of $1.5, $1 and $2 for the month 1, month 2 and month 3 respectively. The inventory cost is $ 1.5 for each product in stock at the end of a month. Products produced during a month may be used to meet demand for that month or any future month. Given that the initial inventory level is 1 unit. Use an appropriate dynamic programming method to determine a production schedule that will meet all demands on time and will minimize the sum of production and holding costs during the three months.
- Q. A gas company owns two refineries, 32 LPG bottling plants, and 367 retail outlets. The company has eight executive grades. The first four grades are classified as a junior. Management, fifth and sixth as middle and seven and eighth as top management. Due to unsystematic career management, the company has landed in the peculiar problem of 70% executive strength getting cumulated in the middle grades. For instance, there are 512 executives in the middle management category against the actual requirement of 84. Further, 245 out of these 512 are due to be promoted to the top management category but vacancies are only 27. Due to this lack of adequate career up gradation opportunities. Many in the middle level are frustrated and lack the motivation to perform.1. How do you develop a career planning and development in performance management?2. Discuss what strategy this company must adopt to overcome this situation?Use 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 -0.49Q4) A rural country administration wants to locate several medical emergency response units so that it can respond to calls within the county within eight minutes of the call. The county is divided into seven population zones. The distance between the centers of each pair of zones is known and is given in the matrix below. The response units can be located in the center of population zones 1 through 7 at a cost (in hundreds of thousands of dollars) of 100, 80, 120 110, 90, 90, and 110 respectively. Assuming the average travel speed during an emergency to be 60 miles per hour, formulate an appropriate set covering model to determine where the units are to be located and how the population zones are to be covered.
- MIn 150x+210y s.t. 3.8x+ 1.2y>=22.9 y>=5 y<=13 45X-30Y=255 X,Y>=0 Solve the linear problem graphically (X,Y)=( ) How many extreme points exist for this problemQ2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution Shaft56. Q&H Company advertises during soap operas andfootball games. Each soap opera ad costs $75,000,and each football game ad costs $130,000. If S soapopera ads are purchased, they will be seen by 4S1y2million men and 22S1y2 million women. If F footballads are purchased, they will be seen by 28F1y2 millionmen and 10F1y2 million women. The company wantsat least 60 million men and at least 50 million womento see its ads.a. Determine how to minimize Q&H’s cost ofreaching the required number of viewers.b. How does this model violate the proportionalityand additivity assumptions of LP?c. Suppose that the number of women (in millions)reached by F football ads and S soap opera ads is8F1y2 1 22S1y2 2 0.3(FS)1y2. Why might this bea more realistic representation of the number ofwomen viewers seeing Q&H’s ads?