Solve:Table $1\mathrm{.}1$ Markov Analysis Information

Transition probability matrix Current year

$(1)(2)(3)(4)(5)$ Exit

Previous year $(1)$ Store associate $0\mathrm{.}430\mathrm{.}060\mathrm{.}000\mathrm{.}000\mathrm{.}000\mathrm{.}51$

$(2)$ Shift leader $0\mathrm{.}000\mathrm{.}540\mathrm{.}160\mathrm{.}000\mathrm{.}000\mathrm{.}30$

$(3)$ Department manager $0\mathrm{.}000\mathrm{.}000\mathrm{.}640\mathrm{.}060\mathrm{.}000\mathrm{.}30$

$(4)$ Assistant store manager $0\mathrm{.}000\mathrm{.}000\mathrm{.}060\mathrm{.}520\mathrm{.}080\mathrm{.}34$

$(5)$ Store manager $0\mathrm{.}000\mathrm{.}000\mathrm{.}000\mathrm{.}000\mathrm{.}660\mathrm{.}34$

Forecast of availabilities Next year $($projected$)$

$(1)(2)(3)(4)(5)$ Exit

Current Workforce

Previous year $(1)$ Store associate $8,500$

$(2)$ Shift leader $1,200$

$(3)$ Department manager $850$

$(4)$ Assistant store manager $150$

$(5)$ Store manager $50$

Gap analysis Next year $($projected$)$

$(1)(2)(3)(4)(5)$

Year end total

$($column sum$)$

External hires needed

$($current workforce$-$total$)$