In a Laboratory Experiment, Two Separate Foods Are Given to Experimental

question 71

Multiple Choice

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. ​ ​
Determine how many grams of foods 1 and 2 should be given in order to satisfy the requirements for A and B while minimizing the amount of ingredient C ingested. Also determine the minimum amount of ingredient C ingested. Round your answer to one decimal place if necessary.
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• A)11 grams of food 1 and 0 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 11 grams.
• B)​0 gram0 of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 11 grams.
• C)​12 grams of food 1 and 0 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 60 grams.
• D)​1 gram0 of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 16 grams.
• E)​2 grams of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 21 grams.

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Definitions:

Domain

The set of all possible input values for which a function is defined.

Rational Function

A function represented by the quotient of two polynomials, where the denominator is not zero.

Rational Expression

A ratio of two polynomial expressions, with a non-zero denominator.

Simplify

To reduce an expression or equation to its simplest form by performing all possible operations and combining like terms.