Problem 4: Use the big-M method to solve the following linear program. 2x1 +2x2 +4x3 +4x2 +2x3 <4 +2x2 +x3 min s.t. X1 X1 2x1 +1.5x3 < 3 X1,X2, X3 2 0
Q: Problem 2 22. The manager of a Burger Doodle franchise wants to determine how many sausage biscuits…
A: S = Number of Sausage biscuits to be produced H = Number of Ham biscuits to be produced Profit per…
Q: Each day, a company makes deliveries to four restaurants. The service uses one truck that starts at…
A: Find the Given details below: Given details: Location Location 1 2 3 4 5 1 - 10 15 20 40…
Q: Assign nine automobile service departments to bays in a 3 × 3 grid so that the closeness ratings…
A: Department 1 consists of many A ratings. It can be placed at the center position. A cluster of…
Q: Problem 2 The AB manufacturing company has two kinds of products: A and B. They earn $180 profit for…
A: Note that, we could not generate a sensitivity report by hand and without a sensitivity report…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A:
Q: Solve the following Linear Programming Problem by Graphical Method: Max Z= 50x + 18y Subject to: 2X…
A: The graphical approach, often known as the geometric method, allows you to solve elementary linear…
Q: Consider the following linear programming problem: Min Z = 6x1 + 4x2 Subject to: 4x1 + 2x2 2 100 2x1…
A: Given LP- Min Z = 6X1+4X2 Subject to Constraints- 4X1+2X2≥100 2X1+3X2≥90X1, X2≥0
Q: Use the BIP branch-and-bound algorithm to solve the following problem. Using Breadth first left as a…
A: (solution after this is continued in step 2) solution for subproblem A- similarly, the other…
Q: Four jobs are to be assigned to employees. There are 5 available employees. Durations for each…
A: The aim of an assignment problem is to assign one employee to each task in a way such that the total…
Q: Finco has the following investments available:Investment A For each dollar invested at time 0, we…
A: Let, A refers to the investment made in option A B refers to the investment made in option BC refers…
Q: A manufacturing company processes 6 different jobs on two mahcines A and B. Number of units of each…
A: 1. The smallest processing time is 3 hours for job 4 on Machine-1. So job 4 will be processed…
Q: Problem 3 Florida Generation owns two generating units with the following cost curve: C, -15+1.4P,…
A: Given, C =15+14P, +0.04P/ Sh. 505P, S150 C, = 25 +16P, +0.02P; /h. 2005 P, S 500
Q: The Kandy Company wants to schedule the following seven-job problem to be processed on two machines…
A: Given data: Job Processing time on machine A Processing time on machine B 1 9 6 2 8 5 3 7…
Q: Problem 2 The AB manufacturing company has two kinds of products: A and B. They earn $180 profit for…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Find the optimum solution for the following Integer Linear Programming problem using the Cutting…
A: Throughout mathematical optimization, this same cutting-plane approach is any of a range of…
Q: In Exercises 3 and 4 we give the original objective function of a linear program- ming problem and…
A: Newton's Method is a significant method because an iterative process can rough solutions to a…
Q: develope a space matrix for macdonalds.
A: Ans. Introduction The space matrix is a management tool which is used by a company to determine the…
Q: Find the optimal solution for the following problem. Minimize C = 16x + 15y subject to 6x + 12y 2 19…
A:
Q: Solve the following goal programming model graphically and by using the computer: minimize Pīd† ,…
A: Goal programming is a part of multiobjective enhancement, which thusly is a part of multi-measures…
Q: 3. Мaximize: Subject to: Р3 2х + 5у 2х + у 2 8 —4х + y s 2 2х - Зу S 0 х, у 2 0
A: The value of the objective function at each of these extreme points is as follows:…
Q: A B D A В 1 A B D A 5 1 B 4 C D 5 D 2. 3.
A: The question is related to Network Diagram and plotting the weights in the 4x4 matrix and identify…
Q: Solve the following M_Technique. Max Z= 2x1 +3x2-4x3 Subject to x1+x2+x3=8 2x1-5x2+x3=10 x1,x2,x3>=0
A: Please follow the attached documents:
Q: Explain the optimality principle in the context of dynamic programming.
A: Dynamic programming is known as the algorithmic technique which helps in solving optimization…
Q: Maximize profit = 4X + 4Y Subject to: 3X +5Y ≤ 150 X – 2Y ≤ 10…
A: Given data is Objective function: Max Z=4X+4Y Subject to: Constraints1.)…
Q: Problem. A garment factory manufactures men's shirts and women's blouses. The production process…
A:
Q: 1. Maximize Z = 2X1 + X2 Subject to: X2 < 10…
A: Note: “Since you have asked multiple questions, we will solve the first question for you. If you…
Q: , objective tree and logical framework matrix, and (ii) logical framework matrix, action plan and…
A: Both problem tree and objective tree play important role in goal setting. Logical framework matrix…
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: Merlin Park Hospital has 4 scan machines and 4 patients to scan. Each machine must be assigned to…
A: Find the Network representation below:
Q: A linear programming problem is given as follows: min ? = −4?1 + ?2 Subject to 8?1 + 2?2 ≥ 16 4?1 +…
A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…
Q: 13. Solve the following linear program using the graphical solution procedure. Max Z = 5 * x1 + 5 *…
A: Plotting x1 on X-axis X2 on Y-axis Following graph shows the feasible region:
Q: The first question answer the following questions: 1. What is the optimization (Optimization)? How…
A: Optimization refers to the process of making something fully potential, functional, and effective.
Q: Use the technique developed in this section to solve the minimization problem. Minimize C = 10x + y…
A: Objective Functions: Minimize C= 10 x+ y Constraints: Subject to- 4x+y≥24 (Constraint 1)…
Q: Problem 1 The R& D division of the Progressive company has been developing 4 possible product lines.…
A:
Q: The following diagram represents a flow network. Each edge is labeled with its capacity, the maximum…
A: Let, Xij = The flow between two nodes i and j (where i and j are the nodes) The objective is to…
Q: Solve the linear programming problem by the method of corners. Minimize C = 6x + 7y…
A: Given,
Q: Q2\ Solve the following linear programming problem by using the simplex method: Мах Р 3 3х, + 2х, +…
A: Given LP- Max P = 3x1+2x2+x3Subject to-2x1+x2+x3≤1502x1+2x2+8x3≤2002x1+3x2+x3≤320x1, x2, x3 ≥0
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: The Swift Corporation wants to schedule the following seven-job problem to be processedon two…
A: i) FIFO systems of scheduling and processing the jobs is used Processing of Jobs on Machine B starts…
Q: How many units go from Node 1 to 3 and 4 to 2, respectively, in order to maximize the flow.
A: The capacity indicating the volume that can be transported in a specific movements. Here, we have…
Q: Melissa Beadle is a student at Tech, and she wants to decide how many hours each day to allocate to…
A: Part (A): Decision variables: Suppose x1 be the hours allocated for the class timex2 be the hours…
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: a) Use integer linear programming to solve the capital rationing problem with the project listed…
A:
Q: Compute the objective function value for the following problem: Min 260X + 65Y subject to : 2X>=0…
A:
Q: Implement and explain all the steps of the Branch and Bound method for the following optimization…
A: Given that:MAX Z = 5x1 + 12x2 + 4x3subject to8x1 + 5x2 + 3x3 <= 103x1 + 2x2 + x3 <= 4and…
Q: Company Z is contemplating a product development program encompassing 6 major projects. The company…
A: Here, let me formulate the Linear programming problem, Decision variable: Project 1 is 1, If…
Q: A. Solve the following linear program by the solver method. P = 100x + 200y 3x + 3y z 16 14x + 5y s…
A:
Pls help
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- 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.)Explain all the steps when implementing the Branch and Bound method for the following optimization problem: Max 15*x1+12*x2+4*x3+2*x4 s.t. 8*x1+5*x2+3*x3+2*x4 <=10 3*x1+2*x3<=4 x1, x2, x3, x4 binaryGiven 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…
- Instruction: Formulate the dual problems for X2 the following linear programming model No need to compute/doing a tableau 1. Maximize Z = 2X1 + X2 Subject to: X2 < 10 2X1 + 5X2 < 60 X1 + X2 <18 3X1 + X2 < 44 2. Maximize Z = 2X1 + X2 +3X3 Subject X1 + X2 + 2X3 < 400 2X1 + X2 + X3 < 500 3. Maximize Z = 80X1 + 60X2 Subject X1 + X2 = 200 X1 < 50 X2 > 80develope a space matrix for macdonalds. Below are the instructions. The steps required to develop a SPACE Matrix are as follows: 1. Select a set of variables to define financial position (FP), competitive position (CP), stability position (SP), and industry position (IP). 2. Assign a numerical value ranging from +1 (worst) to +7 (best) to each of the variables that make up the FP and IP dimensions. Assign a numerical value ranging from -1 (best) to -7 (worst) to each of the variables that make up the SP and CP dimensions. On the FP and CP axes, make comparison to competitors. On the IP and SP axes, make comparison to other industries. 3. Compute an average score for FP, CP, IP, and SP by summing the values given to the variables of each dimension and then by dividing by the number of variables included in the respective dimension. 4. Plot the average scores for FP, IP, SP, and CP on the appropriate axis in the SPACE Matrix. 5. Add the two scores on the x-axis and plot the resultant…Company Z is contemplating a product development program encompassing 6 major projects. The company is constrained from embarking on all of the projects at once by the number of available (budgeted) developers (60) and the budget allocated for project expenses (£200,000). The following table shows the resource requirements and the estimated profit for each project. Use EXCEL’s Solver to answer question 1. 1. Suppose that CEO of company Z decides that project 2 and project 5 are mutually exclusive when all other projects remain independent. What is the revised project portfolio and the revised maximum profit?
- Suppose Jack like to solve the following formulation in Excel. And the problem is setup in Excel like this: See attached picture. A B C D E 1 X1 X2 2 decision variable objective 3 coefficient of objective function 2 3 4 Constraints LHS RHS 5 Constraints 1 2 1 3 6 Constraints 2 4 5 20 7 Constraints 3 2 8 16 8 Constraints 4 5 6 60 We want to put our objective function in cell D3. What should we type in D3? In cell D5 to D8, we will put the left hand side of our constraint. What should we type in D8? In OpenSolver, what should we assign to Variable Cell? What should you do to input the non-negativity constraint in OpenSolver?Transeast Airlines flies planes on the following route:L.A.–Houston–N.Y.–Miami–L.A. The length (in miles) ofeach segment of this trip is as follows: L.A.–Houston, 1,500miles; Houston–N.Y., 1,700 miles; N.Y.–Miami, 1,300miles; Miami–L.A., 2,700 miles. At each stop, the planemay purchase up to 10,000 gallons of fuel. The price of fuelat each city is as follows: L.A., 88¢; Houston, 15¢; N.Y.,$1.05; Miami, 95¢. The plane’s fuel tank can hold at most12,000 gallons. To allow for the possibility of circling overa landing site, we require that the ending fuel level for eachleg of the flight be at least 600 gallons. The number ofgallons used per mile on each leg of the flight is1 (average fuel level on leg of flight/2,000)Review Problems 123To simplify matters, assume that the average fuel level onany leg of the flight isFormulate an LP that can be used to minimize the fuel costincurred in completing the schedule20. A maximizing linear programming problem has two constraints: 2X + 4Y ≤ 100 and 3X + 10Y ≤ 210, in addition to constraints stating that both X and Y must be nonnegative. What are the corner points of the feasible region of this problem? Part 2 A. (20, 15) B. (0, 0), (0, 25), (50, 0), (0, 21), and (70, 0) C. (0, 0), (50, 0), (0, 21), and (20, 15) D. (0, 0), (70, 0), (25, 0), and (15, 20) E. (0, 0), (0, 100), and (210, 0)
- The Kandy Company wants to schedule the following seven-job problem to be processed on two machines A and B. Each job must be processed by two machines A and B, first on machine A and then machine B. The operation processing times at machine A and Bare as follows: Job i 1 2 3 4 5 6 7 Processing time on Machine A (ai) 9 8 7 12 6 8 15 Processing time on Machine B (bi) 6 5 7 19 12 11 7 a. Suppose jobs arrived in their natural order (i.e., job l before job 2, etc.), and FIFO systems of scheduling and processing the jobs is used. What is the completion time of each job and what is the total throughput time (makespan) of all jobs? b. Suppose the inter-arrival times between jobs can be treated as zero and Johnson’s rule is used to sequence and process the jobs, what is the time of each job and what is the total throughput time (makespan) of all jobs? c. What would be the difference in the average time a job spends in the shop…A linear programming problem is given as follows:min ? = −4?1 + ?2Subject to 8?1 + 2?2 ≥ 164?1 + 2?2 ≤ 12?1 ≤ 6?2 ≤ 4?1, ?2 ≥ 0 I) Find the A, B, C, D, E, F, and G points on the plot below II) Identify the feasible solution area graphically on the following plot (by shading thearea) III) Which points are the extreme points IV) What is the solution of the optimization problem? (x1=?,x2=?,z=?) Show your work V) Which change will make the problem have multiple optimal solutions? If there is more than one answer, choose all.a) Increase of the coefficient of ?1 on the objective function to 4b) Increase of the coefficient of ?1 on the objective function to 2c) Decrease of the coefficient of ?1 on the objective function to -8d) Increase of the coefficient of ?2 on the objective function to -8e) None VI) If new constraints, ?1≤4 and ?2≤6, are added to the given problem, what effect will be? (choose all the effects)a) The feasible solution area will be smaller.b) The feasible solution area will…Finco has the following investments available:Investment A For each dollar invested at time 0, we receive $0.10 at time 1 and $1.30 at time 2. (Time 0 =now;time= 1 one year from now; and so on.)Investment B For each dollar invested at time 1, we receive $1.60 at time 2.Investment C For each dollar invested at time 2, we receive $1.20 at time 3.At any time, leftover cash may be invested in T-bills, whichpay 10% per year. At time 0, we have $100. At most, $50can be invested in each of investments A, B, and C. Formulate an LP that can be used to maximize Finco’s cash onhand at time 3.