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.
900 units of beef
700 units of chicken
800 units of liver

A)200 muffins,500 bones,200 cookies
B)200 muffins,500 bones,0 cookies
C)0 muffins,0 bones,700 cookies
D)500 muffins,0 bones,200 cookies
E)0 muffins,500 bones,200 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. ​
900 units of beef
700 units of chicken
800 units of liver
​
A)200 muffins,500 bones,200 cookies
B)200 muffins,500 bones,0 cookies
C)0 muffins,0 bones,700 cookies
D)500 muffins,0 bones,200 cookies
E)0 muffins,500 bones,200 cookies

Quizplus · Accepted Answer

To solve this, we set up equations based on the given ingredient requirements and total available ingredients. For beef: 2m + 1b + 2c = 900, for chicken: 3m + 1b + 1c = 700, and for liver: 2m + 1b + 1.5c = 800. Solving these equations or using elimination/intuition, we find that option E (0 muffins, 500 bones, 200 cookies) fits within the constraints of the available ingredients.

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