I need a python code for this question: An IT company has $N$ number of experienced developers. Each month new developers are hired but

none are fired. Training of a new developer takes $1$ month and each trainee needs $1$ experienced

developer to spend $1$ month acting as a supervisor rather than working in the projects. Each month

some di number of experienced developers are needed $(i=1,2,$dots,$T),$ excluding the ones who acts as

supervisor. p$\%$ of experienced developers leave the job every month but none of the trainees leave.

Trainees are paid $TS$ and experienced developers $$EDS$.$ Assume that at the end of the planning

period $($Tth month$)$ there should be at least $N$ number of experienced employees.

a$)$ Set up a dynamic programming formulation to minimize payroll cost in months $1,2$dots. T$.$ Identify

the states$/$stages and define variables, write recursion formula and solution procedure.

b$)$ Solve the dynamic programming recursion using a software $($python or excel$)$ with the following

parameters

T $($planning period$)$ : $12$ months

Initial number of experienced developers $($N$)$ : $70$

Salary of a trainee $($TS$)$: $40$K

Salary of an experienced developer $($EDS$)$: $60$K

Turnover rate $(p)$:$10\%$

Demand for experienced developer: Months$=>123456789101112$ Assume that number of experienced developers leave the job is calculated by rounding down $10\%$ of

experienced developers.

c$)$ Suppose that if the salary of an experienced developer $($EDS$)$ is increased to $70K,$ the turnover

rate $(p)$ will decrease to $5\%.$ Should such a change be made in terms of total payroll cost?