4. We have 45 square meters of material to make box with square base and no top. We want the maximum enclosed volume. Describe the box we should build. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):
4. We have 45 square meters of material to make box with square base and no top. We want the maximum enclosed volume. Describe the box we should build. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
Related questions
Question
Hi there, please help me with solving this problem please. Please clearly indicate all parts of answer(s). I would really appreciate if you could include all steps to solve the problem as well. Thank you very much!
Transcribed Image Text:4. We have 45 square meters of material to make box with square base and no top. We want the maximum
enclosed volume. Describe the box we should build.
Quantity to optimize (with formula if possible):
Constraint:
Domain (fill in after getting a single-variable formula):
Transcribed Image Text:Guidelines for Optimization Problems
Read the problem carefully, identify the variables, and organize the given information with
a picture.
1.
Identify the objective function (the function to be optimized). Write it in terms of the
variables of the problem.
2.
3.
Identify the constraint. Write them in terms of the variables of the problem.
4.
Use the constraint to eliminate all but one independent variable of the objective function.
5.
With the objective function expressed in terms of a single variable, find the interval of
interest for that variable.
Use methods of calculus to find the absolute maximum or minimum value of the objective
function on the interval of interest. If necessary, check the endpoints.
6.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
