Find two real numbers whose difference is 40 and whose product 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 numbers whose sum is a , if the product of one by the cube of the other is to be a maximum.

A: We have to find number

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 the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

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: Find two positive real numbers such that the sum of the first number squared and the second number…

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. You must use optimization.

A: Given data is: The product of two positive numbers is 36. To find the two positive numbers whose sum…

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

A: Find two numbers whose difference is 100 and whose product is a minimum

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 numbers with difference 90 and whose product is a minimum

A: Solution: The objective is to find the two numbers with the difference 90 and whose product is a…

Q: Find two non-negative numbers whose sum is 59  and whose product is a minimum.

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

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Q: Suppose the product of two numbers is 100; what is the minimum value of their sum?

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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 numbers whose difference is 170 and whose product is a minimum.

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Q: A rectangle measuring 15 inches by 42 inches is to be made into a box with an open top by cutting…

A: applying second derivative test to find maximum volume

Q: Find two numbers whose difference is 118 and whose product is a minimum;

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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 with product 441 and whose sum is a minimum. Enter your answers in…

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

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

A: Topic = Algebra

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

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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: 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: Of all numbers whose difference is 6, find the two that have the minimum product.

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

A: Given informationDifference of two no. is 20

Q: Find two positive numbers whose product is 192 and the sum of the first and three times the second…

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

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: Multivariable optimization question

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Q: Find two numbers whose difference is 8 and whose product is a minimum.

A: Let x and y be the required numbers.  Given that the difference of the numbers is 8.

Q: The sum of three positive numbers is 30, find the three numbers if their product is minimum?

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

A: To find the two numbers whose difference is 100 and whose product is a minimum Given information:…

Q: A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive x-…

A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

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: Find the two positive numbers whose product is a maximum and the sum of one is five times the other…

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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: The second number is the reciprocal of the first number and the sum 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: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

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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 numbers whose sum is 11 and product is a maximum?

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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: 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…