please break down every step. i am really cofuesed on how to figure out decision variables as well. i want to fully understand how to get from each step to the end.

B.38 Tri-State Manufacturing has three factories (1, 2, and 3) and three warehouses (A, B, and C). The following table shows the shipping costs between each factory and warehouse, the factory manufacturing capabilities (in thousands), and the warehouse capacities (in thousands). Management would like to keep the warehouses filled to capacity in order to generate demand. TO FROM Factory 1 Factory 2 Factory 3 Capacity WAREHOUSE A $6 $8 $11 7 WAREHOUSE WAREHOUSE B $5 $3 $10 $8 $14 $18 12 5 a) Write the objective function and the constraint equations. Let XA b) Solve by computer. Px = PRODUCTION CAPABILITY 6 8 10 1,000s of units shipped from factory 1 to warehouse A, and so on.

*-B,38 Tri-State Manufacturing has three factories (1,2, and 3) and three warehouses (A, B, and C). The following table shows the shipping costs between each factory and warehouse, the factory manufacturing capabilities (in thousands), and the warehouse capacities (in thousands). Management would like to keep the warehouses filled to capacity in order to generate demand. a) Write the objective function and the constraint equations. Let X1A=1.000 s of units shipped from factory I to warehouse A, and so on. b) Solve by computer. PX