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A city has two high schools. The first school has a maximum enrollment of 900 students and the second school has a maximum enrollment of 550 students. The city is divided into two regions: Inner City and Suburbs. There are at least 500 students in the Inner City region and at least 800 students in the Suburbs region. The annual transportation cost varies by region as shown in the table. Transportation Costs School 1 (Cost per student) School 2 (Cost per student) Inner City 220 260 Suburbs 200 280 Based on these constraints, what is the minimum possible annual transportation cost? Under what conditions does it occur? Start by defining the appropriate variables.

A city has two high schools. The first school has a maximum enrollment of 900 students and the second school has a maximum enrollment of 550 students. The city is divided into two regions: Inner City and Suburbs. There are at least 500 students in the Inner City region and at least 800 students in the Suburbs region. The annual transportation cost varies by region as shown in the table. Transportation Costs School 1 (Cost per student) School 2 (Cost per student) Inner City 220 260 Suburbs 200 280 Based on these constraints, what is the minimum possible annual transportation cost? Under what conditions does it occur? Start by defining the appropriate variables.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A city has two high schools. The first school has a maximum enrollment of 900 students and the second school has a maximum enrollment of 550 students. The city is divided into two regions: Inner City and Suburbs. There are at least 500 students in the Inner City region and at least 800 students in the Suburbs region. The annual transportation cost varies by region as shown in the table. Transportation Costs School 1 (Cost per student) School 2 (Cost per student) Inner City 220 260 Suburbs 200 280 Based on these constraints, what is the minimum possible annual transportation cost? Under what conditions does it occur? Start by defining the appropriate variables.
Transcribed Image Text:A city has two high schools. The first school has a maximum enrollment of 900 students and the second school has a maximum enrollment of 550 students. The city is divided into two regions: Inner City and Suburbs. There are at least 500 students in the Inner City region and at least 800 students in the Suburbs region. The annual transportation cost varies by region as shown in the table. Transportation Costs School 1 (Cost per student) School 2 (Cost per student) Inner City 220 260 Suburbs 200 280 Based on these constraints, what is the minimum possible annual transportation cost? Under what conditions does it occur? Start by defining the appropriate variables.
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