Question $2[10$ points$]$

PEE PTE LTD is an Asia$-$based personal edutainment electronics manufacturer that produces a highly successful edutainment product, P$-$WEE$-8.$ It has four plants that manufacture the product and three regional distribution centres. To improve its cost competitiveness, the company is considering reducing its fixed operating and production costs by closing one or more plants, even though it would incur an increase in transportation costs. The relevant data on costs, annual production capacities and annual demands for the problem are provided in the following table. Annual fixed operating costs need to be incurred only if a plant is open.

$\backslash$table$[[\backslash$table$[[$From$],[$Plant$]],$Transportation Costs $($$$/$unit$),\backslash$table$[[$Annual Fixed$],[$Operating$],[$Costs $($$$)$