Problem # $5[15$ marks$]$

A sport apparel company has received an order for a college basketball team's national championship T$-$shirts. The company can purchase the Tshirts from textile factories in Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in Canada that silk$-$screen the shirts before they are shipped to distribution centers. Following are the production and transportation costs $($$$/$shirt$)$ from the T$-$shirt factories to the silk$-$screen companies to the distribution centers, plus the supply of T$-$shirts at the factories and demand for the shirts at the distribution centers:

$\backslash$table$[[$Silk$-$screen Company$],[$T$-$shirts Factory,$4-$ Winnipeg,$5-$Halifx,$6-$Edmonton,Supply$],[1-$Mexico,$$4,$$$6,$$$3,18,000],[2-$Puerto Rico,$3,5,5,15,000],[3-$Haiti,$2,4,4,23,000]]$

$\backslash$table$[[$Warehouse$,7-$Toronto,$8-$Vancouver,$9-$Montreal$],[4-$Winnipeg,$$5,$$$7,$$$9$