Write an LP formulation for an example of a distribution problem

:distribution cost from plant k to warehouse j, k=1,..,n, j=1,. p

:distribution cost from warehouse j to customer i,i=1,.

:capacity of plant

:capacity of warehouse

:demand of customer

;flows from plant k to warehouse

;flows from warehouse j customer

producing a single product

Two plants k = 1, 2 exist

k = 2 capa is 60,000 per year and 1 = 1 has an infinite capacity

The production costs of the two factories are the same

j=1,2 are two warehouses with the same operating cost

i = 1, 2, 3 customer demand is 50,000, 100,000, and 50,000 respectively.

Distribution cost per product is as follows

1 in m 1 = p Linear Programming model Min z = {k=12}=1 Ckj Xxj+X}=1 X?=1Cji Xji St.X)=1 Xkj s Pre Wk EX=1Xkj = 2121 Xji, Vj {}=1 Xji = Wi, Vi n == m Li= = j= k = 2 = 2 i = 3 k = 1 0 i = 1 3 4. 4 5 j = 1 j = 2 5 2 2 1 2