Question
MUST USE EXCEL & SHOW FORMULAS. ABC Stable feeds horses. The owner recognizes the need to set a nutritional diet for the horses, and at
MUST USE EXCEL & SHOW FORMULAS. ABC Stable feeds horses. The owner recognizes the need to set a nutritional diet for the horses, and at the same time, wants to keep the overall daily cost of feed to a minimum.
The feed mixes available for the horses' diet are an oat product, an enriched grain, and a mineral product. Each of these mixes contains a certain amount of five ingredients. The table below shows these minimum requirements, units of each ingredient per pound of feed mix, and cost for the three mixes. In addition, 6 pounds of feed per day are the most that a horse needs.
Ingredients | Oat (Units/lb.) | Grain (Units/lb.) | Mineral (Units/lb.) | Minimum Daily Requirement (Units) |
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 |
Formulate this problem as a linear program and solve for the optimal daily mix of the three feeds with Excel Solver. Note that this is a minimization problem, not maximization. The minimized cost should be $0.687.
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