March 12th, 2015, 02:25 PM  #1 
Newbie Joined: Sep 2013 Posts: 13 Thanks: 1  Linear Systems Problem
Hi, this question was found in my calc 2 textbook and I'm not sure how to solve it. Laboratory mice are fed with a mixture of two foods that contain two essential nutrients. Food 1 contains 3 units of nutrient A and 2 units of nutrient B per ounce; food 2 contains 4 units of nutrient A and 5 units of nutrient B per ounce. In what proportion should you mix the food if the mice require the nutrients A and B in equal amounts? Assume now that the mice require the nutrients A and B in the ratio1 : 2. Is it possible to satisfy their dietary needs with the two foods available? any help would be greatly appreciated!! Thanks. 
March 12th, 2015, 03:31 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra 
We want to mix the two feeds in some proportion $p:1$. So our food $F=pf_1 + f_2 = p(3A + 2B) + (4A + 5B)$. We require equal amounts of A and B. So$$3p + 4 = 2p + 5$$where the left hand side is the amount of A and the right hand side is the amount of B.

March 12th, 2015, 07:37 PM  #3 
Newbie Joined: Sep 2013 Posts: 13 Thanks: 1  Thanks so much!


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