Luna Enterprises, a leading manufacturer of specialty electronics, operates a distribution system

comprising three plants strategically located across different regions. This distribution system serves two

warehouses and caters to the demands of four key customers. To ensure efficient operations and

minimize costs, Luna Enterprises aims to optimize its distribution network.

Luna Enterprises' distribution network consists of:

$$ Three Plants $($Plant $1,$ Plant $2,$ Plant $3)$

$$ Two Warehouses $($Warehouse $1,$ Warehouse $2)$

$$ Four Customers Sites $($Customer $1,$ Customer $2,$ Customer $3,$ Customer $4)$

$$ Plant Capacities and Shipping Costs to Warehouses are given as follows$-$