a) Use the Simplex Method with Artificial constraints to determine the optimal solutionto the following Linear Programming (LP) problem:Min z = -3x, – 4x2subject toX1 + x2 5 2255x1 + 4x2 s 1005x1 + 4x2 2 1502x, + x2 5 600X1, X2 2 0

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Answered: a) Use the Simplex Method with…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Please find and solve the attached optimization Problem
Problem 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.
Find solution using Two-Phase Method Minimize z = 4x1 + x2 subject to 3x1 + x₂ = 3 4x1 + 3x2 ≥ 6 x1 + 2x₂ ≤ 4 x1, x2 > 0
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 y20
Valencia products makes automobile radar detectors and assembles two models. Laser stop and Speedbuster both models use the same electronic components after reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of Speedbuster models produced. Implement the linear optimization model on a spreadsheet and use. Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints and verify the values of the slack variables . Maximize profit = 123 L + 139 S 19 L + 11 S < 4,000 (availability of component A) 6 L + 9 S < 35000 (availability of component B) L > 0 and S > 0 The optimal solution is to produce how many Laser stop models ? And how many Speedbuster models ? The maximum possible profit is ? Component A is or is not a binding…
Multiple Optimal Solution: Example (9): Find the optimal solution for the : Multiple Optimal following model by the graphical method Max Z = X,+X, X, +X, 23 .(1) X, +X, 56 S. to : X,21 ..(2) .(3) X, s2 (4) X, 20 X, 20
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Friendly Waste Co. runs three different factories and is required by law to safely dispose of chemicals. Waste from three different factories can be processed to reduce the amount of two different types of pollutants. State law requires that the total reduction in the amount of pollutant A is at least 30 tons and pollutant B is at least 40 tons. Using the information in the following table: Factory Proc Cost Per Ton Reduction Plant A Reduction Plant B 1 15 0.1 0.45 2 10 0.2 0.25 3 20 0.4 0.3 •Algebraically formulate a linear programming model to represent this problem.
eBook 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: Room Type 1 Type II Rental Class Super Saver $37 $18 Explain. Deluxe $40 $33 Variable SuperSaver rentals allocated to room type I SuperSaver rentals allocated to room type II Deluxe rentals allocated to room type I Deluxe rentals allocated to room type II Business rentals allocated to room type II Is the demand by any rental class not satisfied? Business Type 1 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 125 rentals in the Super Saver…
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a) Use the Simplex Method with Artificial constraints to determine the optimal solution to the following Linear Programming (LP) problem: Min z = -3x1 - 4x2 subject to 2x + x2 S 600 X1 +x2S 225 5x1 + 4x2 s 100 5x, + 4x2 2 150 X1, X2 2 0