CHAPTER 2
LINEAR PROGRAMMING MODELS: GRAPHICAL AND
COMPUTER METHODS
Internet Case Study: Agri Chem Corporation
This case demonstrates an interesting use of LP in a production setting. Let X1 = tons of ammonia to
produce, X2 = tons of ammonium phosphate to produce, X3 = tons of ammonium nitrate to produce, X4 =
tons of urea to produce, X5 = tons of hydrofluoric acid to produce, X6 = tons of chlorine to produce, X7 =
tons of caustic soda to produce, and X8 = tons of vinyl chloride monomer to produce.
Subject to:
X1 ≤ 1,200 (= 80% of 1,500) X2 ≤ 540 X3 ≤ 490
The solution is shown in file Ch02-Internet Case Agri Chem.XLS, sheet 20%. The production schedule
(tons/day) is:
Ammonia
Phosphate
Nitrate
Urea
Chlorine
Soda
Chloride
1,200.0
423.2
Profit
Amm.
Amm.
Hydro
Caustic
Vinyl
The solution is shown in file Ch02-Internet Case Agri Chem.XLS, sheet 40%. The production schedule
(tons/day) is:
Ammonia
Amm
Phosphate
Amm
Nitrate
Urea
Hydro
Acid
Chlorine
Caustic
Soda
Vinyl
Chloride
490.00
160.00
560.00
718.22
840.00
Profit