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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?

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?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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