Find Optimal solution of below LP Model and Provide Lingo Model

Min${\displaystyle \underset{t=1}{\overset{3}{}}}(I_{At}+I_{Bt}+4I_{1t}+3I_{2t})$

subject to:

$x_{At}20,000$;$t=1,2,3$

$x_{Bt}30,000$;$t=1,2,3$

$0\mathrm{.}02x_{1t}+0\mathrm{.}01x_{2t}200$;$t=1,2,3$

$I_{At}=I_{A,t-1}+x_{At}-x_{1t}-x_{2t}$;$t=1,2,3$

$I_{Bt}=I_{B,t-1}+x_{Bt}-2x_{1t}-x_{2t}$;$t=1,2$;

$I_{1t}=I_{1,t-1}+x_{1t}-D_{1t}$;$t=1,2,3$

$I_{2t}=I_{2,t-1}+x_{2t}-D_{2t}$;$t=1,2,3$

$x_{it},I_{it}0$