Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Please help me with Excel for the project ! The Bayside School District has made the decision to close one of its middle schools (6th,7th,

image text in transcribedimage text in transcribed

Please help me with Excel for the project !

The Bayside School District has made the decision to close one of its middle schools (6th,7th, and 8th grades) at end of this school year and reassign all of next year's middle school students to the three remaining middle schools in the district. The school district provides busing for all middle school students who must travel more than approximately a mile, so the school board wants a plan for reassigning the students that will minimize the total busing cost. The annual cost per student for busing from each of the six residential areas of the city to each of the schools is shown in the following table (along with other basic data for next year), where 0 indicates that busing is not needed and a dash indicates an infeasible assignment. The school board also has imposed the restriction that each grade must constitute between 30% and 36% of each school's population. The table below shows the percentage of each area's middle school population for next year that falls into each of the three grades. The school attendance zone boundaries can be drawn so as to split any given area among more than one school, but assume that the percentages shown in the table will continue to hold for any partial assignment of an area to a school. You have been hired as a management science consultant team to assist the school board in determining how many students in each area should be assigned to each school. a) Formulate and solve a linear programming model for this problem. b) What is your resulting recommendation to the school board? After seeing your recommendation, the school board expresses concern about all the splitting of residential areas among multiple schools. They indicate that they "would like to keep each neighborhood together." c) Adjust your recommendation as well as you can to enable each area to be assigned to just one school. (Adding this restriction may force you to "fudge" on some other constraints.) How much does this increase the total busing cost? The school board is considering eliminating some busing to reduce costs. Option 1 is to only eliminate busing for students traveling 1 to 1.5 miles, where the cost per student is given in the table as $200. Option 2 is to also eliminate busing for students traveling 1.5 to 2 miles, where the estimated cost per students is $300. d) Revise the model from part a) to fit Option 1, and solve. Compare these results with those from part b), including the reduction in total busing cost. e) Repeat part d) for Option 2 . The school board now needs to choose among the three alternative busing plans (the current one or Option 1 or Option 2). One important factor is busing costs. However, the school board also wants to place qual weight on a second factor: the inconvenience and safety problems caused by forcing students to travel by foot or bicycle a substantial distance (more than a mile, and especially more than 1.5 miles). Therefore, they want to choose a plan that provides the best trade-off between these two factors. f) Use your results from parts b), d), and e) to summarize the key information related to these two factors that the school board needs to make this decision. g) Which decision do you think should be made? Why

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Effective Auditing For Corporates Ensuring That All The Risks Are Covered

Authors: Bloomsbury, Joe Oringel

1st Edition

1849300445, 978-1849300445

More Books

Students also viewed these Accounting questions