Formulate and solve a linear programming problem.
A farm company in Texas has three farms that produce grain at capacities of 93, 88 and 95 thousand barrels of grain per day respectively. The company also owns five storage buildings along the Gulf Coast, all of which have been operating at stable demand levels. Further details are in the attached documents.
To
Pump 1 Pump 2 Pump 3 Available
Farm 1 1.52 1.60 1.40 93
From Farm 2 1.70 1.63 1.55 88
Farm 3 1.45 1.57 1.30 95
From
To Pump 1 Pump 2 Pump 3 Required
Storage 1 5.15 5.12 5.32 30
Storage 2 5.69 5.47 6.16 57
Storage 3 6.13 6.05 6.25 48
Storage 4 5.63 6.12 6.17 91
Storage 5 5.80 5.71 5.87 48