Find two numbers whose sum is 22 and whose product is a maximum. The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Must set up equations and use derivatives to show work please

Find two numbers whose sum is 22 and whose product is a maximum.
The two numbers are
(Simplify your answer. Use a comma to separate answers as needed.)
Transcribed Image Text:Find two numbers whose sum is 22 and whose product is a maximum. The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)
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Follow-up Questions
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Follow-up Question
A deli sells 720 sandwiches per day at a price of $6 each.
(A) A market survey shows that for every $0.10 reduction in the price, 40 more sandwiches will be sold. How much should the deli charge
in order to maximize revenue?
The deli should charge $ for a sandwich to maximize revenue.
(Round to the nearest cent as needed.)
(B) A different market survey shows that for every $0.20 reduction in the original $6 price, 5 more sandwiches will be sold. Now how
much should the deli charge in order to maximize revenue?
Now the deli should charge $ for a sandwich to maximize revenue.
(Round to the nearest cent as needed.)
Transcribed Image Text:A deli sells 720 sandwiches per day at a price of $6 each. (A) A market survey shows that for every $0.10 reduction in the price, 40 more sandwiches will be sold. How much should the deli charge in order to maximize revenue? The deli should charge $ for a sandwich to maximize revenue. (Round to the nearest cent as needed.) (B) A different market survey shows that for every $0.20 reduction in the original $6 price, 5 more sandwiches will be sold. Now how much should the deli charge in order to maximize revenue? Now the deli should charge $ for a sandwich to maximize revenue. (Round to the nearest cent as needed.)
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