Fat (g) Sodium (mg) Protein Sandwich 10 200 20 Soup 4 400 10

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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1. Mary has been placed on a strict diet. She monitors her food very carefully. One day at lunch, she
plans to have tuna fish sandwiches and tomato soup. The nutrients per serving are found in the table
below:
Fat (g)
Sodium (mg)
Protein
Sandwich
10
200
20
Soup
4
400
10
Mary can have no more than 34 grams of fat and 1000 mg of sodium. How many servings of soup
and sandwich can she have for lunch to maximize her protein intake?
a) Define the variables:
b) What are the constraint inequalities?
Inequality concerning sodium:
Inequality concerning fat:
c) What is the objective function?
Transcribed Image Text:1. Mary has been placed on a strict diet. She monitors her food very carefully. One day at lunch, she plans to have tuna fish sandwiches and tomato soup. The nutrients per serving are found in the table below: Fat (g) Sodium (mg) Protein Sandwich 10 200 20 Soup 4 400 10 Mary can have no more than 34 grams of fat and 1000 mg of sodium. How many servings of soup and sandwich can she have for lunch to maximize her protein intake? a) Define the variables: b) What are the constraint inequalities? Inequality concerning sodium: Inequality concerning fat: c) What is the objective function?
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