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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Question

i need part d e and f part 

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?
d) Graph the feasibility region.
12
10
Corner (x, y)
Amount of Protein
6
10
e) How many servings should Mary have of each item?
(These may be fractions of servings. Round to the nearest 0.01)
Transcribed Image Text:d) Graph the feasibility region. 12 10 Corner (x, y) Amount of Protein 6 10 e) How many servings should Mary have of each item? (These may be fractions of servings. Round to the nearest 0.01)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,