The Rakhsh Stable feeds and houses the horses used to pulltourist-filled carriages through the streets of Charleston’shistoric waterfront area. The stable owner, an ex-racehorsetrainer, recognizes the need to set a nutritional diet for thehorses in his care. At the same time, he would like to keep theoverall daily cost of feed to a minimum.
The feed mixes available for the horses’ diet are an oatproduct, a highly enriched grain, and a mineral product. Each ofthese mixes contains a certain amount of five ingredientsneeded daily to keep the average horse healthy.
The below table shows these minimum requirements, units of eachingredient per pound of feed mix, and costs for the threemixes.
In addition, the stable owner is aware that an overfed horse isa sluggish worker.
Consequently, he determines that 6 pounds of feed per day arethe most that any horse needs to function properly.
Formulate this LP problem
Solve for the optimal daily mix of the three feeds (Inexcel)
Feed Mix |
Diet Requirement (Ingredients) | Oat Product (Units/lb) | Enriched Grain (Units/lb) | Mineral Product (Units/lb) | Minimum Daily Requirement (Units/lb) |
A | 2 | 3 | 1 | 6 |
B | 0.5 | 1 | 0.5 | 2 |
C | 3 | 5 | 6 | 9 |
D | 1 | 1.5 | 2 | 8 |
E | 0.5 | 0.5 | 1.5 | 5 |
Cost/lb | $0.09 | $0.14 | $0.17 | |
