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?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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?

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