3 What are the values for x1, x2 and x3?O x1-500 ; x2-57.78, x3-175.56O x1-500 ; x2=175.56, x3-57.78O x1-175.56; x2=57.78, x3=500O x1=57.78; x2-175.56, x3=500 what are the values of x1, x2 and x3?1 Microsoft Excel 16,0 Answer Report2 Worksheet: (Bookt]Sheet3 Report Created: 7/15/2021 8:13:24 PM4 Result: Solver found a solution. All Constraints and optimality conditions are satisfied.5 Solver EngineEngine: Simplex LPSolution Time: 0.016 Seconds.6.7.Iterations: 3 Subproblerns: 09 Solver OptionsMax Time Unlimited, terations Unfimited, Preciston 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative1011121314 Objective Cell (Max)Original Value Final Value0 45,522.2215CellName16 SFS3 Objective Functions171819 Variable CellsInteger175.56 ContinCellNameOriginal Value Final Value20$B$2 Changing Variable Cells x1$C$2 Changing Variable Cells x2SD$2 Changing Variable Cells x324 SE$2 Changing Variable Cells x42157.78 Contin22500 Contin23O Contin252627 ConstraintsCell ValueFormulaStatusSlack28CellNameSE$4 C1SF$S C2SF$6 C3$F$7 C4SFS8 CS72 $FS4ci$GSA_Binding1200 SFSSCSGS Binding21593.33333 SF$6c=$G$6 Not Binding233.3333333 SF$7<«$G$7_Not Binding500 $FS8$G$8 Binding29303,406.6731266.673233What are the values for x1, x2 and x3?

We have given optimization table and we have to find the values of variables that maximize the…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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During each 6-hour period of the day, the Bloomington Police Department needs at least the number of policemen shown in the following table. Policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. Policemen are paid $15 per hour for each of the first 12 hours a day they work and are paid $22.5 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting Bloomington’s daily police requirements and solve it via Excel. Time Period Number of required policemen 12:00AM----6:00AM 12 6:00AM----12:00PM 8 12:00PM----6:00PM 6 6:00PM----12:00AM 15
Solve the given LP problem on the right by using The Graphical Solution Method. a) Find the optimal solution, determine the solution type.b) Find the optimality range for the changes in the objective coefficient c2.c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one of the binding constraints.
1. Draw the feasible region of the LP. Label the constraints and corner points in your graph. 2. Is (5,5) a feasible region? How do you say so? 3. Enumerate all the feasible corner points of this LP. 4. What is the optimal solution? Provide x1,x2, and z value.
Solve the following LP using Simplex method Minimise Z = 60x1 + 80x2 Subject to 20x1 + 30x2 ≥ 900 Resource 1 40x1 + 30x2 ≥ 1200 Resource 2 x1, x2 ≥ 0 You are required to find Optimum product mix and minimum Optimum solution so obtained is unique or has multiple optimum solution, justify your answer. Comment on the values you have got for S1 and S2 in the optimum solution, what do they represent. Check whether both the resources are fully utilized or not. If these resources are made available for one more unit what is the effect on the cost?
Please solve this problem using simplex method starting with x initial = (0,0)^T. Define the optimal solution and show all work. This is an ungraded review problem.
The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11. REQUIRED:a. Use the graphical solution procedure to find the new optimal solution. b.Use the solution to part(a) to determine the dual value for constraint 1
A finished product weighs exactly 150grams. The two raw materials used in manufacturing theproduct are A, with cost of birr 2 per unit and B with a cost of birr 8 per unit. At least 14 units ofB and not more than 20 units of A must be used. Each units of A and B weighs 5 and 10 gramsrespectively.A. Formulate the above problem as a linear programing modelB. Obtain optimal solution to the problem by using the simplex method, how much ofeach type of row material should be used for each unit of the final product in orderto minimize the cost?
Consider the following all-integer linear program: Max 5x1+8x2 S.t. 6x1+5x2 ≤ 30 9x1+4x2 ≤ 36 1x1+2x2 ≤ 10 X1,x2 ≥ 0⁢ and integer Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Find the optimal integer solution. Is it the same as the solution obtained in part (b) by rounding down?
Use the Simplex method to solve this problem when a = 1. Hint: does the LPP have an optimal solution in this case?
The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $200 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.01 per month, or $0.12 per year; and annual fuel usage is 120,000 gallons. MBC buses operate 300 days a year. What is the optimal order quantity for MBC? Q* = fill in the blank 1 How frequently should MBC order to replenish the gasoline supply? fill in the blank 2 orders per year The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks? Metropolitan Bus Company __needs to expand or does not need to expand___ the capacity of its storage tanks. What is the reorder point? r = fill in the blank 4 gallons
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What are the values for x1, x2 and x3? O x1-500 ; x2-57.78, x3-175.56 O x1-500; x2=-175.56, x3-57.78 O x1-175.56; x2=57.78, x3-500 O x1=57.78; x2=175.56, x3-500