Question

Mr. Smith decides to feed his pet Doberman pinscher a combination of two dog foods. Each can of brand A contains units of​ protein, 1 unit of​ carbohydrates, and 2 units of fat and costs cents. Each can of brand B contains 1 unit of​ protein, 1 unit of​ carbohydrates, and units of fat and costs cents. Mr. Smith feels that each day his dog should have at least units of​ protein, units of​ carbohydrates, and units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least​ cost? Mr. Smith should give his dog nothing ​can(s) of brand A and nothing ​can(s) of brand B to provide the minimum requirements at the least cost.

Answer 1

Answer:

hello your question is incomplete below is the complete question

Mr. Smith decides to feed his pet Doberman pinscher a combination of two dog foods. Each can of brand A contains 3 units of protein, 1 unit of carbohydrates, and 2 units of fat and costs 80 cents. Each can of brand B contains 1 unit of protein, 1 unit of carbohydrates, and 6 units of fat and costs 50 cents. Mr. Smith feels that each day his dog should have at least 6 units of protein, 4 units of carbohydrates, and 12 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost? *Mr. Smith should give his dog ___ can(s) of brand A and ___ can(s) of brand B

answer : 1.5 cans of brand A and 1.5 cans of brand B

Explanation:

Food A contains :

3 units of protein , 1 unit of carbohydrates, 2 units of fat

cost of food A = 80 cents

Food B contains :

1 unit of protein , 1 unit of carbohydrates, 6 units of fat

cost of food B = 50 cents

minimum ingredients required in the dog food daily

6 units of protein , 4 units of carbohydrates, 12 units of fat

In order to achieve the minimum/least cost of 195 cent. Mr. smith should give his dog 1.5 cans of Brand A and 1.5 can of brand B

attached below is the detailed solution