x and y are non-negative numbers. The sum of x and three times y equals 48. What is the maximum possible value of the product of x and y? Show all of your work.

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A: This question is based on application of derivative.

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A: Let the first number be x. Let the other number be y.   Thus, x+y=5y=5-x   The sum of the cubes of…

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A: We have to find number

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Q: 2. Find two numbers whose sum is 50 and whose product is a maximum.

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Q: 1. Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Find a pair of numbers such that the sum of the first number squared and twice the second number is…

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Q: the sum of two positive integers is 24. Find the number if the sum of their squares is a minimum

A: Given- The sum of two positive integers is 24.  To find- The number if the sum of their squares is a…

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A: NOTE: Refresh your page if you can't see any equations. . tota units are 60 and rent of each unit is…

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Q: A real estate office handles a 60-unit apartment complex. When the rent is $530 per month, all units…

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A: Application of derivative

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Q: Suppose two numbers add up to 20. What is the maximum value of their product?

A: Given that: Two numbers add up to 20.

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A: According to our guidelines In case of multiple questions we are supposed to answer the first…

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A: Let 'x' be the one number and the other number is (50-x).

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A: Since you have posted multiple questions I can do first question as per our company guidelines…

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A: Suppose two positive numbers are  x and y The product of numbers are 192 therefore, xy=192 ⇒y=192x…

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A: Sum of the first and twice the second is 56.

Q: The sum of two positive integers is 25. What is the minimum sum of their squares ?​

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Q: Find two numbers whose sum is 11 and whose product is a maximum.

A: Let x and y be the two numbersx+y =11y =11-xProduct is maximumTherefore, xy is maximumx(11-x) is…

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Q: The sum of two numbers is k. What are the numbers if the product of the first by the cube of the…

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Q: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

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Q: Find two numbers whose sum is 50 and whose product is a maximum.

A: To find two numbers whose sum is 50 and whose product is a maximum.

Q: The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the…

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Q: The difference of two numbers is 18. What are numbers so that their product is a minimum?

A: The difference of two numbers is 18. Find the numbers such that their product is a minimum.   x-y =…

Q: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

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Q: Find two positive numbers whose product is 2 and the sum of one number and the square of the other…

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