2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and I gram of protein per ounce. The rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least? Define the variables, x= and y= a. b. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to find each point. c. d. Give the cost equation e. Test each vertex in the cost equation. f. Write a statement telling Suzi how much of each type of rabbit food should she use to get a blend that meets all the requirements and is the cheapest?
2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and I gram of protein per ounce. The rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least? Define the variables, x= and y= a. b. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to find each point. c. d. Give the cost equation e. Test each vertex in the cost equation. f. Write a statement telling Suzi how much of each type of rabbit food should she use to get a blend that meets all the requirements and is the cheapest?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
Transcribed Image Text:Linear Programming- Intermediate Algebra
Name:
2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily
diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some
Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per
ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and 1 gram of protein per ounce. The
rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can
be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How
much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least?
Define the variables. x=
and y=
a.
b. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them)
c. List the vertices of the feasible region. If
you can not accurately read them off of
your graph, you will need to solve a
system of equations to find each point.
d. Give the cost equation
e.
Test each vertex in the cost equation.
f. Write a statement telling Suzi how much
of each type of rabbit food should she use
to get a blend that meets all the
requirements and is the cheapest?
Expert Solution
Trending now
This is a popular solution!
Step by step
Solved in 9 steps with 1 images
Knowledge Booster
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 Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
