ob’s bakery sells bagel and muffins. To bake a dozen bagels Bob needs 5 cups of flour, 2 eggs, and one cup of sugar. To bake a dozen muffins Bob needs 4 cups of flour, 4 eggs and two cups of sugar. He can sell bagels in $10/ dozen and muffins in $12/dozen. Bob has at most 50 cups of flour, at most 30 eggs and at most 20 cups of sugar. How many bagels and muffins should he bake in order to maximize his revenue? (Let x be the number of dozens of bagels to bake and y be the number of dozens of muffins to bake) If geometrical approach is used to determine the optimal solution, - how many dozens of muffins should be baked to maximize the revenue? - what is the maximized revenue?
ob’s bakery sells bagel and muffins. To bake a dozen bagels Bob needs 5 cups of flour, 2 eggs, and one cup of sugar. To bake a dozen muffins Bob needs 4 cups of flour, 4 eggs and two cups of sugar. He can sell bagels in $10/ dozen and muffins in $12/dozen. Bob has at most 50 cups of flour, at most 30 eggs and at most 20 cups of sugar. How many bagels and muffins should he bake in order to maximize his revenue? (Let x be the number of dozens of bagels to bake and y be the number of dozens of muffins to bake) If geometrical approach is used to determine the optimal solution, - how many dozens of muffins should be baked to maximize the revenue? - what is the maximized revenue?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.4: Solve Applications With Systems Of Equations
Problem 5.75TI: Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram...
Related questions
Question
Bob’s bakery sells bagel and muffins. To bake a dozen bagels Bob needs 5 cups of flour, 2 eggs, and one cup of sugar. To bake a dozen muffins Bob needs 4 cups of flour, 4 eggs and two cups of sugar. He can sell bagels in $10/ dozen and muffins in $12/dozen. Bob has at most 50 cups of flour, at most 30 eggs and at most 20 cups of sugar. How many bagels and muffins should he bake in order to maximize his revenue?
(Let x be the number of dozens of bagels to bake and y be the number of dozens of muffins to bake)
If geometrical approach is used to determine the optimal solution,
- how many dozens of muffins should be baked to maximize the revenue?
- what is the maximized revenue?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning