Business, 06.08.2021 20:10 emmareese2022

Distance (miles) District Central School West School South School Student Population
North 8 11 14 700
South 12 9 — 300
East 9 16 10 900
West 8 — 9 600
Central — 8 12 500
Brooks City has three consolidated high schools, each with a capacity of 1,200 students. The school
board has partitioned the city into five busing districts—north, south, east, west, and central—each
with different high school student populations. The three schools are located in the central, west, and
south districts. Some students must be bused outside their districts, and the school board wants to
minimize the total bus distance traveled by these students. The average distances from each district
to the three schools and the total student population in each district are as follows:
Distance (miles)
District
Central
School
West
School
South
School
Student
Population
North 8 11 14 700
South 12 9 — 300
East 9 16 10 900
West 8 — 9 600
Central — 8 12 500
The school board wants to determine the number of students to bus from each district to each
school to minimize the total busing miles traveled.
a. Formulate a linear programming model for this problem and solve the model using the computer.
b. The school board decided that because all students in the north and east districts must be bused,
then at least 50% of the students who live in the south, west, and central districts must also be
bused to another district. Reformulate the linear programming model to reflect this new set of
constraints, and solve by using the computer.
c. The school board has further decided that the enrollment at all three high schools should be
equal. Formulate this additional restriction in the linear programming model, and solve by
using the computer

Answers: 2

Show answers

Another question on Business

Business, 21.06.2019 22:30

The blank is type of decision-maker who over analyzes information

Answers: 1

Answer

Business, 22.06.2019 10:00

How has internet access changed and affected globalization from 2003 to 2013? a ten percent increase in internet access has had little effect on globalization. a twenty percent decrease in internet access has had little effect on globalization. a thirty percent increase in internet access has sped up globalization. a fifty percent decrease in internet access has slowed down globalization.

Answers: 1

Answer

Business, 22.06.2019 17:30

The purchasing agent for a company that assembles and sells air-conditioning equipment in a latin american country noted that the cost of compressors has increased significantly each time they have been reordered. the company uses an eoq model to determine order size. what are the implications of this price escalation with respect to order size? what factors other than price must be taken into consideration?

Answers: 1

Answer

Business, 22.06.2019 20:30

Caleb construction (cc) incurs supervisor salaries expense in the construction of homes. if cc manufactures 100 homes in a year, fixed supervisor salaries will be $400,000. with the current construction supervisors, cc's productive capacity is 150 homes in a year. however, if cc is contracts to build more than 150 homes per year, it will need to hire additional supervisors, which are hired as full-time rather than temporary employees. cc's productive capacity would then become 200 homes per year, and salaries expense would increase to $470,000. how would cc’s salaries expense be properly classified? fixed variable mixed stepped curvilinear

Answers: 3

Answer

You know the right answer?

Distance (miles) District Central School West School South School Student Population
North 8...

Questions