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

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: 5.The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let's find two numbers & smallest possible value of sum of their squares.

Q: 6. Find two numbers whose sum is a, if the product of the square of the one by the cube of the other…

A:

Q: product

A: We will solve the problem.

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,…

A: This question can be solved by using the concept of absolute maxima and absolute minima.

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: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

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Q: Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

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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: In a plant, if the time needed to produce the first unit is 13 hours and the reduction in time…

A: We will find the total production cost as following .

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

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Q: Under her cell phone plan, Morgan pays a flat cost of $54 per month and $5 per gigabyte, or part of…

A:

Q: 4.1 The sum of two numbers is 12. Find the minimum value of the sum of their cubes.

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

A: Consider the first number be 'x'. The second number be 'y'. The sum of the numbers is given by a.…

Q: 1. The sum of two numbers is 12. What are these numbers if the product of the first and the cube of…

A: Given problem Given that   The sum of two numbers = 12 Let the two numbers be x and y. We have to…

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Given data: The given flat cost is F=$66. The cost per gigabyte is c=$5. The given budget is B=$80.…

Q: 4. Suppose Oceana wants to build 10 feet below the average waterline. What is the maximum amount of…

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

A: Explanation of the answer is as follows

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

A: This question is about sum and product of 2 numbers & to find maximum.

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: 4. The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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Q: 49. The sum of two positive numbers is 24. What two numbers will maximize the product?

A: Given that the sum of two positive numbers is 24.Let one positive number is x and another positive…

Q: What are two positive numbers with a product of 250 where the sum of the first and four times the…

A: Let the positive numbers are x and y.Given that the product of them is = 250So, xy=250or, y=250x

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Given: Flat cost per month = $66 Cost per gigabyte(or part of gigabyte) = $5       To determine: The…

Q: If a company has total costs  C(x) = 45,000 + 35x + 0.1x2  and total revenues given by  R(x) =…

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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: 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: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

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

A:

Q: 1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is…

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

Q: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

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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: Suppose that the total revenue function for a commodity is R = 36x - 0.02x2.

A: d) The given revenue function R(x)=36x-0.02x2 At x=101 R(101) = 36*101-0.02*(101)2 = $3431.98…

Q: Multivariable optimization question

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Q: What is the difference between the maximum and minimum of the quantity x2y2/87, where x and y are…

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Q: Suppose you are told that for a given number, the sum of twice the square of that number and the…

A: Let the number be x.

Q: 2. The sum of two numbers is 12. Find the two numbers if the sum of their squares is to be a…

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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: 2. In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number…

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Q: 1. What is the maximum product of two positive numbers which are solutions to 4x+y = 16?

A: 4x+y=16

Q: Under her cell phone plan, Autumn pays a flat .cost of $66 per month and $5 per gigabyte, or part of…

A:

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…

Q: What are two numbers whose sum equals to 23, and whose product is a maximum

A: Let the two numbers be x and y.