Write a GAMS program for this model. Please look at the code template below and write a similar code for this exact software but for the model in picture insead. Here is the example: Sets

i facilities$/$

$1*3$

$/$

j markets$/$

$1*4$

$/$;

Parameters

c$($i$,$j$)$ transportation cost$/$

$1\mathrm{.}1=20$

$1\mathrm{.}2=20$

$1\mathrm{.}3=30$

$1\mathrm{.}4=40$

$2\mathrm{.}1=50$

$2\mathrm{.}2=50$

$2\mathrm{.}3=50$

$2\mathrm{.}4=80$

$3\mathrm{.}1=30$

$3\mathrm{.}2=40$

$3\mathrm{.}3=20$

$3\mathrm{.}4=20$

$/$

f$($i$)$ setup cost$/$

$1=500000$

$2=300000$

$3=400000$

$/$

d$($j$)$ demand of market$/$

$1=400$

$2=500$

$3=600$

$4=500$

$/$

q$($i$)$ capacity of plant$/$

$1=1000$

$2=1000$

$3=1000$

$/$;

Binary variables y$($i$)$;

Positive variables x$($i$,$j$)$;

Variable z;

Equations

Objfnc

Constraint$2($j$)$

Constraint$3($i$)$

;

Objfnc.. z $=$e$=$ sum$($i$,$sum$($j$,$ c$($i$,$j$)*$d$($j$)*$x$($i$,$j$)))+$ sum$($i$,$ f$($i$)*$y$($i$))$;

Constraint$2($j$)..$ sum$($i$,$x$($i$,$j$))=$e$=1$;

Constraint$3($i$)..$ sum$($j$,$d$($j$)*$x$($i$,$j$))=$l$=$ q$($i$)*$y$($i$)$;

x$.$up$($i$,$j$)=1$;

Model facloc $/$all$/$;

facloc.optcr $=0\mathrm{.}0$;

facloc.reslim $=3600$;

facloc.limrow $=50$;

Solve facloc using MIP minimizing z;