Friendly manufacturing has three factories (1,2 AND 3) and three warehouses ...

  

Friendly manufacturing has three factories (1,2 AND 3) and three warehouses (A,B,C). The table below shows the shipping costs between each factory (in dollars) and warehouse, the factory manufacturing capabilities (in 1000’s) and the warehouse capacities (in 1000’s). Write the objective function and the constraint inequalities. Let X1a =1000s of units shipped from factory 1 to warehouse A, etc.

From To Production 

A B C Capability

Factory 1  6 5 3  6

Factory 2  8 10 8 8

Factory 3  11 14 18 10

Demand  7 12 5