Find two numbers whose sum is 20 and whose product is a maximum

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the…

A: let the two numbers be x and y so  x×y=36sum=x+y since         xy=36⇒y=36x Substitute y value in sum…

Q: Can you please answer this question and show the steps

A: Given: The two numbers whose difference is 236 and whose product is minimum.

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: product

A: We will solve the problem.

Q: The sum of the first and twice the second is 360 and the product is a maximum.

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Q: Find two numbers whose sum is 60, such that the sum of the square of one number plus twelve times…

A: Let the two numbers are x and y. Sum of two numbers is 60. x+y=60                                ⋯1…

Q: Find two numbers whose sum is 20, if the product of one by the cube of another is to be the maximum.

A: For stationary value of a function y = f(x),   y' = f'(x) = 0  A function y = f(x)  is said to have…

Q: Among all pairs of numbers with a sum of 59, find the pair whose product is maximum.

A: Given: The sum of two numbers is 59, To find: The numbers such that their product is maximum.

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

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Q: Find two positive numbers whose sum is 676 and the sum of whose squares is a minimum.

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Q: Find two positive numbers whose product is 25 and whose sum is a minimum. (If both values are the…

A: Given: Two number whose product is 25.

Q: Find two positive numbers whose product is 49 and whose sum is a minimum. (If both values are the…

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Q: Find two numbers whose sum is 10, and the sum of whose squares is a minimum. Please put the…

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Q: The sum of the first and three times the second is 42.Find two positive real numbers whose product…

A: This question is taken from the application of derivative in which we have to find the two positive…

Q: The number 72 is to be represented as the sum of two positive parts, such that the product of one of…

A: Let the two numbers be: x and y Therefore we have to maximize:  f(x, y)=x y3 subjected to…

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…

Q: Find two numbers whose sum is 15, if the product of the square of one by the cube of the other is to…

A: We have to fine two numbers for given conditions.

Q: Find the two numbers whose sum is 15 if the product of the square of one by the cube of the other is…

A: Let us consider one of the numbers to be x. So, the other number will be 15-x. Now, the function…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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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…

Q: If the sum of two different positive numbers is twice your age, what is the maximum product of them?

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Q: Find two numbers whose difference is 166 and whose product is a minimum.

A: Topic = Algebra

Q: determine two numbers which have a difference of 7 and product which is a minimum

A: Let the two numbers be x and y. It is given that, the two numbers have a difference of 7. That is,…

Q: Find three numbers whose sum is 9 and whose sum of squares is a minimum. The three numbers are.

A:

Q: Find two numbers whose sum is 36 if the sum of their squares is to be a minimum.

A: Let, The first number be x. As the sum is 36. Therefore, The second number is 36 - x.

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.

Q: Find two numbers whose sum is a, if the product of one by the cube of the other is to be a maximum.

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

Q: Find two numbers whose difference is 6 such that the sum of their squares is a minimum.

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Q: Find two numbers whose sum is 50 such that the square of one number plus six times the other number…

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

Q: Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. What…

A: Let one number be = xAnother number be = yGiven that, their sum is 24.x+y = 24y = 24-x…

Q: Find two numbers such that the sum of the first and twice the second is 56 and whose product is…

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

Q: Find two positive numbers whose product is 45 and for which the sum of one number and 6 times the…

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Q: The difference between two numbers is 100. Find the two numbers if their product is a minimum.

A: We have to find the product of two numbers whose difference is 100.

Q: Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the…

A: first we find factors of 64 2   64 2   32 2   16 2    8 2    4  2    2  1 therefore  64= 2 x32 and…

Q: Among all the pairs whose sum is 18, find a pair whose product is as larger as possible What is the…

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Q: Find three numbers which add to 100 and whose product is maximized.

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Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: Find two numbers whose difference is 42 and whose product is a minimum. Step 1 If two numbers have a…

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Q: Find two numbers whose difference is 154 and whose product is a minimum.

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Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

Q: Divide the number 120 into two parts such that the product of one part and the square of the other…

A: To divide the number 120 into two parts such that the product of one part and the square of the…

Q: Find three numbers whose sum is 9 and whose sum of squares is a minimum.

A: Construct a system for optimization using the information that, the three numbers whose sum is 9 and…

Q: Find two positive numbers whose sum is 9 and the product of one number and the square of the other…

A:

Q: Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What…

A: Sum is 20 and product is maximum.

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: Find two numbers whose sum is 12 and the product of the square of the first number by the cube of…

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Q: The sum of two numbers is 26 . Find them if the product is to be maximum

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