Answered: De anza is looking to hire teachers and…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

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 python code & explain each step

Expert Solution

Step 1

Since teachers charge high salary, we have to reduce the number of teachers as much as possible.

But we have to ensure that for every 2 teachers we can include upto 3 TAs. Mathematically we can say that

number of teachers >= (2/3) * number of TAs.

So let's try to accommodate the minimum, that is 30 staffs.

We can implement this task as python program.

Algorithm

Start
Initialize no_teachers =0, no_TAs =0.
While (no_teachers + no_TAs) <30 and no_teachers >= (2/3)* no_TAs, Repeat steps 3 and 4.
Increment no_teachers by 2.
Increment no_TAs by 3.
Print no_TAs and no_teachers.
Stop