A$.$ Transition Probability matrix $12345$ Exit

$1.$ store associate $0\mathrm{.}530\mathrm{.}060000\mathrm{.}41$

$2.$ shift leader $00\mathrm{.}50\mathrm{.}16000\mathrm{.}34$

$3.$ department manager $000\mathrm{.}580\mathrm{.}1200\mathrm{.}3$

$4.$ assistant store manager $000\mathrm{.}060\mathrm{.}460\mathrm{.}080\mathrm{.}4$

$5.$ store manager $00000\mathrm{.}660\mathrm{.}34$

B$.$ Forcast of availabilities $12345$ exit

current workforce

$1.$ store associate $85004505510000$

$2.$ shift leader $1200060019200$

$3.$ department manager $850004931020$

$4.$ assistant store manager $1500096912$

$5.$ store manager $50000033$

total $($years end total forcast$)$

d$.$ Next year gap projections

$12345$

current workforce $8500$

years end total forcast $4505$

external hires needed $3995$