Assignment problem

Cost per $1,000,000$ units of products from factories to market.

Demand region $($production and transportation cost per $1,000,000$ units$)$

$\backslash$table$[[$Supply region,Market $1,$Market $2,$Market $3,$Market $4,$Market $5,$Fost,Capacity,Cost,Capacity$],[$Factory $1,75,92,110,129,119,5000,10,7500,20],[$Factory $2,119,73,107,101,107,4700,10,7050,20],[$Factory $3,103,107,85,121,115,6300,10,9450,20],[$Factory $4,117,128,93,61,74,4200,10,6300,20],[$Factory $5,145,102,105,109,69,4600,10,6900,20],[$Demand$,11,9,16,17,9,,,,]]$

$\backslash$table$[[$Decision variables,Market $3,$Market $4,$Market $5,\backslash$table$[[$Low$],[$Capaci$]],\backslash$table$[[$Hligh$],[$Capacity$]]],[$Suppl$,$Market $1,$Market $2],[$Fact$,0,0,0,0,0,0,],[Fac,0,0,0,0,0,0,],[$Fact$,0,0,0,0,0,0_{?},],[$Fa$,0,0,0,0,0,0,],[$Factory $5,,0,0,0,0,0,],[$T$112,1,,,,,,]]$

Constraints

$\backslash$table$[[$Supply region,Capacity$],[$Factory $1,],[$Factory $2,],[$Factory $3,],[$Factory $4,],[$Factory $5,]]$

$\backslash$table$[[$Demand$,$Market $1,$Market $2,$Market $3,$Market $4,$Market $5],[$Unmet$,,,,,]]$

Objective Function

Cost $=$