What are two positive numbers with a product of 250 where the sum of the first and four times the second is a minimum

Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

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

A: Given sum of two numbers are 16. Let first number be x and second number=16-x. Now, sum of squares…

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

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 two positive numbers x and y whose product is maximum and 2x + y = 100.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: product

A: We will solve the problem.

Q: Find two real numbers whose difference is 40 and whose product is a minimum.

A: Let the two real numbers be x & y. Since the difference is 40, therefore x-y=40⇒y=x-40   →1 Now…

Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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Q: The second number is the reciprocal of the first number and the sum is minimum. Find two positive…

A: Let us suppose x and y are two numbers and we want to minimize x+y

Q: 5. Find two positive numbers whose sum is 110 and whose product is a maximum.

A: Let two positive numbers be x and y  x+y=110

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

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Q: Provide two positive numbers with a product of 169 and a sum which 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: 2. Find two numbers whose sum is 50 and whose product is a maximum.

A:

Q: 1. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers are x and y.   It is known that to minimize a function we have to equate the first…

Q: Find two positive numbers with product 484 and whose sum is a minimum. Enter your answers in…

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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 positive numbers whose product is 49 and whose sum is a minimum. (Enter your…

A: Given,                  Two positive numbers whose product is 49  and whose sum is minimum

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

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Q: Find two numbers whose difference is 170 and whose product is a minimum.

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Q: Find three positive numbers whose sum is 90 and whose product is a maximum.

A: Second derivative test: For critical points, fx=0 fy=0 A function f(x,y) has a local maximum value…

Q: Two positive numbers whose product is 25, find the minimum sum О 15 30 О 10 20

A: Let the two numbers be x and y. According to given, xy= 25 Therefore, y= 25/x-----equation 1 And…

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 positive numbers whose product is 18 and for which the sum of one and 2 times the other is…

A: It is given that the product of two positive number is 18 Let the first number will be x and second…

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

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Q: Find two positive numbers whose product is 50 such that the sum of the first plus 2 times the second…

A: Given, Product of 2 positive number is 50  First number+2(second number)=S, is a minimum.

Q: Ex 1. Find two positive numbers with a product equal to | 200 such that the sum of one number and…

A: Product of two number is 200 Let one number is x  other number = 200x

Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have…

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The…

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: 6. Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

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Q: 1. The product of two numbers is 147. If the sum of one of the numbers and thrice the other is to be…

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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: Find two numbers whose difference is 20 and whose product is a minimum.

A: Given informationDifference of two no. is 20

Q: Determine two positive numbers whose product is 4 such that the sum of their squares is minimum.

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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: Multivariable optimization question

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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: 4. The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the…

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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…

Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the…

A: Topic:- calculus

Q: . Find two numbers whose product is 64, and whose sum is a minimum. 2. The sum of two numbers is…

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Q: 4. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: For minimum , second derivative of the function should  be positive.

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: d two positive numbers such that the sum of the first number and twice the second is 108 and ir…

A: Given query is to find indicated unknown number.

Q: The sum of two positive numbers is 16. Find two numbers such that the sum of the squares is a…

A: Given problem:- The sum of two positive numbers is 16. Find two numbers such that the sum of the…

Q: 2. Find two numbers whose difference is 100 and whose product is a minimum.

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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…

A: Let x and y be the required numbers. Given that the product of two numbers is 2. That is, Now…