Determine the solution space and the optimum solution of the Reddy Mikks model for thefollowing independent change:The maximum daily demand for exterior paint is at most 2.5 tons (add this as additionalconstraint)Use only graphical method to solve for the optimal solution. Show all important information. Forthe graph, indicate all labels, and plot/show the z-function to get the optimum point. Encircle thefinal answer.Original LP formulation:Max Z = 5x1 + 4x2Subject to:6x1 + 4x2 <<= 24x1 + 2x2 <= 6-x1 + x2<= 1x2<= 2x1, x2>= 0(constraint 1)(constraint 2)(constraint 3)(constraint 4)(constraint 5)

Linear Programming is a mathematical and statistical tool that is used in operations management to…

Answered: Determine the solution space and the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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1. Given the LP model below. Do the following: a. Formulate the new LP model. b. Set up the initial table then identify the optimum column, pivotal row, entering variable out, going variable, Zj row entries, and Cj n-Zj row entries Maximize eamings = $0.80xX₁ + $0.40X₂ + $1.20X3 - $0.10X4 subject to X₁ + 2X₂ + X3 + 5X₁150 X₂ 4X₂ + 8X₂ = 70 6X₁ + 7X₂ + 2X3 - X₂ 120 X₁, X₂, X₁, X₁Z 0
Max −A + 2B s.t. -2A + 3B ≤ 8 (Constraint 1) 6A - 2B ≤ 5 (Constraint 2) A + B ≤ 5 (Constraint 3) A ≥ 1 (Constraint 4) A, B ≥ 0 SHOW ALL CALCULATION STEPS a) Solve the LP Model using the graphical method. Label your graph completely (and upload your graph as a jpg). State your optimal solution and objective function value. b) Calculate the Slack/Surplus for each constraint. c) Calculate the Shadow/dual Prices for each constraint.
The Meeras Cafeteria at the College of Economics and Political Science serves cooked food including shawarma and hamburgers, as well different types of drinks and packaged food products 1/ What type of inventory system would you suggest for the Meeras Cafeteria - Continuouis Review or Periodic Review? What is the reason for your answer. 2) To implement the system you suggest, what data will you need, and how do you obtain this data. 3) Once you have identified the needed data, explain how you can implement the inventory management system. Indicate a recommended service level, how you will decide the order quantities and how inventory will be monitored.
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…
A 36,000 square foot office building in Emeryville, California that was 88% leased had a 2023 annual net operating income estimated to be $1,880,000 with gross leases for all its tenants and a three level subterranean parking garage with 180 parking spaces. The 2024 NOI could be increased by all the following, EXCEPT: Increasing the operating expenses by adding additional maintenance staff Increasing the parking income by charging tenants for their employee parking Increasing the occupancy rate of the building by signing leases with new tenants Increasing the rental rates in new leases that are signed for the building
Boysen produces enamel and acrylic paint from two particular raw materials M1 and M2. The following data provides the data regarding the production restrictions.
The warehouse manager wants to gain an understanding of his total costs for the next year. Currently, he expects to have 30 employees earning an average of $18.2 per hour (assume each employee works 1900 hours per year). Her other costs include overhead costs (25.8% of the labor costs) and security (fixed at $35000). Given the current wage pressure, she anticipates having to increase pay by 4.8% next year, but the fixed costs could drop by $750. What is the total cost for the best-case scenario? (Enter whole dollars) Your Answer: The warehouse manager wants to gain an understanding of his total costs for the next year. Currently, he expects to have 28 employees earning an average of $17.9 per hour (assume each employee works 2050 hours per year). Her other costs include overhead costs (23.4% of the labor costs) and security (fixed at $39500). What is the total cost for the base-case? (Enter whole dollars) Your Answer:
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.
A manufacturing company has 4 factories and 3 warehouses. The costs for transporting its products from factories to ware houses, the supply capacity of factories and demands in warehouses are given respectively by 6 4 81 70 170 4 3 2 C = 130 S = D= 200 2 4 7 100 130 1 5 8 200 a. Use minimum cost method to find an initial feasible solution. b. Determine the amount of products to be transported from factories to warehouses to minimize the cost.

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