Transportation problem

Use Solver to Solve this problem $"$as is$"$

X$111$ These nine cells "change"

X$121$

X$131$

X$210$

X$220$

X$230$

X$310$

X$320$

X$330$

Min $3*$ X$11+1*$ X$12+9999*$ X$13+$

$4*$ X$21+2*$ X$22+4*$ X$23+$

$9999*$ X$31+3*$ X$32+3*$ X$33=10003$ This is the Cost

s$.$t$.$

$1*$ X$11+1*$ X$12+1*$ X$13=3<=5$ These are the supplyconstaints

$1*$ X$21+1*$ X$22+1*$ X$23=0<=7$

$1*$ X$31+1*$ X$32+1*$ X$33=0<=3$

$1*$ X$11+1*$ X$21+1*$ X$31=1>=7$ These are the demand constraints

$1*$ X$12+1*$ X$22+1*$ X$32=1>=3$

$1*$ X$13+1*$ X$23+1*$ X$33=1>=5$

All X$\text{'}$s $>=0$