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
9 units/g
4 units/g
22 units
Ingredient B
7 units/g
14 units/g
28 units
Ingredient C
2 units/g
1 unit/g
 
??
How many grams of foods 1 and 2 will satisfy the requirements for A and B and minimize the amount of ingredient C that is ingested? Also what is the minimum amount of ingredient C ingested?
??

A. ?1 gram0 of food 1 and  2 grams of food 2 satisfy the minimum requirements forAandBwhile minimizing the amount of ingredient C to 5 grams.
B. ?2 grams of food 1 and  1 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 5 grams.
C. ?2 grams of food 1 and  2 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 6 grams.
D. ?3 grams of food 1 and  1 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 7 grams.
E. ?3 grams of food 1 and  2 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 8 grams.


Answer: B

Mathematics

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