In a laboratory experiment, two separate foods are given to experimental animals. Each food contains essential ingredients, A and B, for which the animals have a minimum requirement, and each food also has an ingredient C, which can be harmful to the animals. The table below summarizes this information. Food 1 Food 2 Required Ingredient A 10 units/g 3 units/g 49 units Ingredient B 6 units/g 12 units/g 60 units Ingredient C 2 units/g 1 unit/g How many grams of foods 1 and 2 should be given to the animals in order to satisfy the requirements for A and B while minimizing the amount of ingredient C ingested? food 1 g food 2 g ingredient C units
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a laboratory experiment, two separate foods are given to experimental animals. Each food contains essential ingredients, A and B, for which the animals have a minimum requirement, and each food also has an ingredient C, which can be harmful to the animals. The table below summarizes this information.
| Food 1 | Food 2 | Required | |
| Ingredient A | 10 units/g | 3 units/g | 49 units |
| Ingredient B | 6 units/g | 12 units/g | 60 units |
| Ingredient C | 2 units/g | 1 unit/g |
How many grams of foods 1 and 2 should be given to the animals in order to satisfy the requirements for A and B while minimizing the amount of ingredient C ingested?
| food 1 | g | |
| food 2 | g | |
| ingredient C | units |
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