Homework Help is Here – Start Your Trial Now!
Business
Operations Management
B. Find the optimal solution of the PL model! Use the same variable name (consistent) as you used in No. 1. The order of constraints corresponds to the order of constraints in No.1. Include evidence in the form of PL MODELS AND SOLUTIONS C. Based on the solution obtained in No. 2, write a recommendation for the City of Busville School Board! Show that your recommendation meets all the requirements and that all students in the 3 districts get a school. D. Currently the maximum number of students that can be admitted to Walt Whitman High (call it bwwmax) is 500 people. What is the allowable bwwmax value so that the current base remains optimal? Explain with evidence.

B. Find the optimal solution of the PL model! Use the same variable name (consistent) as you used in No. 1. The order of constraints corresponds to the order of constraints in No.1. Include evidence in the form of PL MODELS AND SOLUTIONS C. Based on the solution obtained in No. 2, write a recommendation for the City of Busville School Board! Show that your recommendation meets all the requirements and that all students in the 3 districts get a school. D. Currently the maximum number of students that can be admitted to Walt Whitman High (call it bwwmax) is 500 people. What is the allowable bwwmax value so that the current base remains optimal? Explain with evidence.

Practical Management Science
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...
See similar textbooks
icon
Related questions
Question

Please solve the problem Sub parts B,C,D thank u... Im very needed in 60-120 minutes max. thank u tor he expert, please solving

1. The city of Busville contains three school districts. The number of minority and nonminority students in each district is given in Table 1. Of all students, 25% (200/800) are minority students. The local court has decided that both of the town's two high schools (Cooley High and Walt Whitman High) must have approximately the same percentage of minority students (within + 5%) as the entire town. The distances (in miles) between the school districts and the high schools are given in Table 2. Each high school must have an enrolment of 300 – 500 students. The city school board needs to determine an assignment of students to schools that minimizes the total distance students must travel to schools. Table 1. Number of students Table 2. Distances (in miles) Minority Nonminority District Students Cooley District High Whitman Walt Students High 1. 50 200 1.8 2.9 50 250 2 2.8 1.9 100 150 3 1.8 1.9 (Adapted from Winston 2004) PL = Program Linear or Linear Program ( LP) %3D 2. 3.
Transcribed Image Text:1. The city of Busville contains three school districts. The number of minority and nonminority students in each district is given in Table 1. Of all students, 25% (200/800) are minority students. The local court has decided that both of the town's two high schools (Cooley High and Walt Whitman High) must have approximately the same percentage of minority students (within + 5%) as the entire town. The distances (in miles) between the school districts and the high schools are given in Table 2. Each high school must have an enrolment of 300 – 500 students. The city school board needs to determine an assignment of students to schools that minimizes the total distance students must travel to schools. Table 1. Number of students Table 2. Distances (in miles) Minority Nonminority District Students Cooley District High Whitman Walt Students High 1. 50 200 1.8 2.9 50 250 2 2.8 1.9 100 150 3 1.8 1.9 (Adapted from Winston 2004) PL = Program Linear or Linear Program ( LP) %3D 2. 3.
A. Formulate the problem into the OT model! Define the decision variables clearly. Give information about the objective function and constraints. B. Find the optimal solution of the PL model! Use the same variable name (consistent) as you used in No. 1. The order of constraints corresponds to the order of constraints in No.1. Include evidence in the form of PL MODELS AND SOLUTIONS C. Based on the solution obtained in No. 2, write a recommendation for the City of Busville School Board! Show that your recommendation meets all the requirements and that all students in the 3 districts get a school. D. Currently the maximum number of students that can be admitted to Walt Whitman High (call it bwWma) is 500 people. What is the allowable bwwmax value so that the current base remains optimal? Explain with evidence.
Transcribed Image Text:A. Formulate the problem into the OT model! Define the decision variables clearly. Give information about the objective function and constraints. B. Find the optimal solution of the PL model! Use the same variable name (consistent) as you used in No. 1. The order of constraints corresponds to the order of constraints in No.1. Include evidence in the form of PL MODELS AND SOLUTIONS C. Based on the solution obtained in No. 2, write a recommendation for the City of Busville School Board! Show that your recommendation meets all the requirements and that all students in the 3 districts get a school. D. Currently the maximum number of students that can be admitted to Walt Whitman High (call it bwWma) is 500 people. What is the allowable bwwmax value so that the current base remains optimal? Explain with evidence.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS