Concept explainers
Blending Nutrients A biologist must make a nutrient for her algae. The nutrient must contain the three basic elements D, E, and F, and must contain at least 10 kg of D, 12 kg of E, and 20 kg of F. The nutrient is made from three ingredients, I, II, and III. The quantity of D, E, and F in one unit of each of the ingredients is as given in the following chart.
Ingredient | ||||
I | II | III | ||
Kilograms of | D | 4 | 1 | 10 |
Elements (per | E | 3 | 2 | 1 |
unit of ingredient) | F | 0 | 4 | 5 |
Cost per unit (in $) | 4 | 7 | 5 |
How many units of each ingredient are required to meet the biologist’s needs at minimum cost?
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