A city council voted to conduct a study on inner city community problems. A nearby univers was contacted to provide sociologists and research assistants. Allocation of time and cos per week are given in Table 1 below: Labour Hours Minimum Labour-Hour Sociologist Research needed Assistant per week FIELDWORK 10 30
A city council voted to conduct a study on inner city community problems. A nearby univers was contacted to provide sociologists and research assistants. Allocation of time and cos per week are given in Table 1 below: Labour Hours Minimum Labour-Hour Sociologist Research needed Assistant per week FIELDWORK 10 30
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![QUESTION 1
A city council voted to conduct a study on inner city community problems. A nearby university
was contacted to provide sociologists and research assistants. Allocation of time and costs
per week are given in Table 1 below:
Labour Hours
Minimum Labour-Hours
Sociologist
Research
needed
Assistant
per week
FIELDWORK
10
30
180
RESEARCH CENTRE
30
10
140
COSTS PER WEEK ($)
500
300
a) State the Objective Function for this problem.
b) How many sociologists and how many research assistants should be hired to minimize the
cost and meet the weekly labour-hour requirements?
c) What is the weekly cost?
[3]
[10]
[2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27a6d3a5-bfda-4314-9083-95bfc1b27388%2F833cddff-af1c-4cc0-beee-bb5e73b5a905%2F74kdec8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 1
A city council voted to conduct a study on inner city community problems. A nearby university
was contacted to provide sociologists and research assistants. Allocation of time and costs
per week are given in Table 1 below:
Labour Hours
Minimum Labour-Hours
Sociologist
Research
needed
Assistant
per week
FIELDWORK
10
30
180
RESEARCH CENTRE
30
10
140
COSTS PER WEEK ($)
500
300
a) State the Objective Function for this problem.
b) How many sociologists and how many research assistants should be hired to minimize the
cost and meet the weekly labour-hour requirements?
c) What is the weekly cost?
[3]
[10]
[2]
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