Find two positive integers (counting numbers) such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Learning Target DA6: I can set up and use derivatives to solve applied optimization problems.
Find two positive integers (counting numbers) such that the sum of the first number and four times the
second number is 1000 and the product of the numbers is as large as possible.
For this question, you must use differentiation; sketch a picture, setup an equation, and follow the processes
laid out in class and in the videos to find the optimal solution.
Transcribed Image Text:Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. Find two positive integers (counting numbers) such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible. For this question, you must use differentiation; sketch a picture, setup an equation, and follow the processes laid out in class and in the videos to find the optimal solution.
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