A small home business creates muffins,bones,and cookies for dogs.In addition to other ingredients,each muffin requires 2 units of beef,3 units of chicken,and 2 units of liver.Each bone requires 1 unit of beef,1 unit of chicken,and 1 unit of liver.Each cookie requires 2 units of beef,1 unit of chicken,and 1.5 units of liver.Find the numbers of muffins,bones,and cookies that the company can create with the given amounts of ingredients.
875 units of beef
830 units of chicken
850 units of liver

A)765 muffins,5 bones,50 cookies
B)50 muffins,765 bones,50 cookies
C)5 muffins,765 bones,50 cookies
D)50 muffins,765 bones,5 cookies
E)5 muffins,5 bones,830 cookies

Question

A small home business creates muffins,bones,and cookies for dogs.In addition to other ingredients,each muffin requires 2 units of beef,3 units of chicken,and 2 units of liver.Each bone requires 1 unit of beef,1 unit of chicken,and 1 unit of liver.Each cookie requires 2 units of beef,1 unit of chicken,and 1.5 units of liver.Find the numbers of muffins,bones,and cookies that the company can create with the given amounts of ingredients. ​
875 units of beef
830 units of chicken
850 units of liver
​
A)765 muffins,5 bones,50 cookies
B)50 muffins,765 bones,50 cookies
C)5 muffins,765 bones,50 cookies
D)50 muffins,765 bones,5 cookies
E)5 muffins,5 bones,830 cookies

Quizplus · Accepted Answer

The correct answer is determined by setting up and solving a system of linear equations based on the given ingredient requirements and available units. Each choice represents a different combination of muffins, bones, and cookies. By calculating the total required units of beef, chicken, and liver for each combination and comparing them with the available units, we find that option C (5 muffins, 765 bones, 50 cookies) is the only combination that does not exceed the available units of any ingredient.

A Small Home Business Creates Muffins,bones,and Cookies for Dogs