using matlab Create a script that projects population based on static Annual Migration $($Mann$)$ & variable Birth Rates $($BR$)$ and Death Rates $($DR$).$ Birth and death rates will be represented as a linear function over time having initial values $($BR$\_$init & DR$\_$init$),$ and slopes $($slope$\_$BR & slope$\_$DR$).$ A sample of this relationship is given below.

BR$\_$init, DR$\_$init, slope$\_$BR$,$ slope$\_$DR$,$ and Mann are provided at the start of the script template. The initial time $($tinit$),$ final time $($tfinal$),$ time step size $($delt$),$ and initial population $($Pinit$)$ are also provided. Please use P for the population, BR for the birth rate, and DR for the death rate variable names and create each as a row vector. Not following this convention will result in an incorrect answer.

Once you have calculated P$,$ plot P as a function of time. Make sure to include axis labels as this is good practice in plotting. BR$\_$init$=\mathrm{.}15$;

DR$\_$init$=\mathrm{.}09$;

slope$\_$BR$=-0\mathrm{.}001$;

slope$\_$DR$=-0\mathrm{.}0004$;

tinit$=0$;

tfinal$=100$;

delt$=\mathrm{.}5$;

Pinit$=400$;

Mann$=-10$;