A school is looking to hire teachers and TAs to fill its staffing needs for its summer program at minimum cost. The average monthly salary of a teacher i $2400 and the average monthly salary of a TA is $1100. The program can accommodate up to 45 staff members, needs at least 30 to run properly, and nust have teachers (they will NOT employee only TAs...as much as it makes burely economic sense). They must have at least 10 TAs and may have up to TA’s for every 2 teachers. How many teachers and TAs the should the program hire to minimize costs. What is the minimum cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A school is looking to hire teachers and TAs to fill its staffing needs for its
summer program at minimum cost. The average monthly salary of a teacher is
$2400 and the average monthly salary of a TA is $1100. The program can
accommodate up to 45 staff members, needs at least 30 to run properly, and
must have teachers (they will NOT employee only TAs...as much as it makes
purely economic sense). They must have at least 10 TAs and may have up to 3
TA's for every 2 teachers. How many teachers and TAs the should the
program hire to minimize costs. What is the minimum cost?
Transcribed Image Text:A school is looking to hire teachers and TAs to fill its staffing needs for its summer program at minimum cost. The average monthly salary of a teacher is $2400 and the average monthly salary of a TA is $1100. The program can accommodate up to 45 staff members, needs at least 30 to run properly, and must have teachers (they will NOT employee only TAs...as much as it makes purely economic sense). They must have at least 10 TAs and may have up to 3 TA's for every 2 teachers. How many teachers and TAs the should the program hire to minimize costs. What is the minimum cost?
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Step 1

 A Small Introduction about Minimize Cost

 

  • Cost minimization just infers that organizations are augmenting their usefulness or utilizing the most reduced expense measure of contributions to deliver a particular result.
  •  In the short run, firms have fixed data sources, similar to capital, giving them less adaptability than over the long haul.
  • Cost minimisation is a monetary system that plans to accomplish the savviest approach to conveying labour and products to the required level of value.
  • It is vital to recall that cost minimisation isn't tied in with lessening quality or scamming clients - it generally stays vital to address client issues.
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