Animal feed is to be made from corn and mixed seeds. One pound of corn has 30 units of fat and 20 units of protein. One pound of mixed seeds has 20 units of fat and 40 units of protein. The feed must supply a daily requirement of 2800 units of fat and 2200 units of protein. What combination of corn and mixed seeds should be used in order to make a feed that has a minimum total weight?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...
Question
Animal feed is to be made from corn and mixed seeds. One pound of corn has
30 units of fat and 20 units of protein. One pound of mixed seeds has 20 units
of fat and 40 units of protein. The feed must supply a daily requirement of 2800
units of fat and 2200 units of protein.
What combination of corn and mixed seeds should be used in order to make a
feed that has a minimum total weight?
Your solution written in the sketchpad below should provide the following:
⚫ the system of inequalities that represents the constraints (given and
implied) in the problem;
⚫ a graph of the system of inequalities representing the constraints;
⚫ the locations of the critical points of the feasible region and any
calculations necessary to determine them;
⚫ the objective function and calculations made using it; and
a complete statement of the solution that answers the question asked in
the problem.
Transcribed Image Text:Animal feed is to be made from corn and mixed seeds. One pound of corn has 30 units of fat and 20 units of protein. One pound of mixed seeds has 20 units of fat and 40 units of protein. The feed must supply a daily requirement of 2800 units of fat and 2200 units of protein. What combination of corn and mixed seeds should be used in order to make a feed that has a minimum total weight? Your solution written in the sketchpad below should provide the following: ⚫ the system of inequalities that represents the constraints (given and implied) in the problem; ⚫ a graph of the system of inequalities representing the constraints; ⚫ the locations of the critical points of the feasible region and any calculations necessary to determine them; ⚫ the objective function and calculations made using it; and a complete statement of the solution that answers the question asked in the problem.
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