De anza 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). 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?  use code & explain each step

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter4: The Simplex Algorithm And Goal Programming
Section4.16: Multiattribute Decision Making In The Absence Of Uncertainty: Goal Programming
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De anza 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). 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? 

use code & explain each step 

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