Robert is planning to spend the day baking c batches of cookies and b batches of brownies. He would like to maximize the total number of batches, c+ b. He can bake a batch of cookies in 12 minutes and a batch of brownies in 30 minutes. Robert wants to spend at most 6 hours baking. He also wants to make sure the number of batches of brownies is within 2 of the number of batches of cookies. Create an inequality constraint for time (in hours) and two inequality constraints for the relative numbers of cookies and brownie batches.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
icon
Related questions
Question
Robert is planning to spend the day baking c batches of cookies and b batches of brownies. He
would like to maximize the total number of batches, c+ b. He can bake a batch of cookies in 12
minutes and a batch of brownies in 30 minutes. Robert wants to spend at most 6 hours baking. He
also wants to make sure the number of batches of brownies is within 2 of the number of batches of
cookies.
Create an inequality constraint for time (in hours) and two inequality constraints for the relative
numbers of cookies and brownie batches.
Transcribed Image Text:Robert is planning to spend the day baking c batches of cookies and b batches of brownies. He would like to maximize the total number of batches, c+ b. He can bake a batch of cookies in 12 minutes and a batch of brownies in 30 minutes. Robert wants to spend at most 6 hours baking. He also wants to make sure the number of batches of brownies is within 2 of the number of batches of cookies. Create an inequality constraint for time (in hours) and two inequality constraints for the relative numbers of cookies and brownie batches.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,