Find a pair of numbers such that the sum of the first number squared and twice the second number is 54 and the product is a maximum. (find all solutions)

Q: The sum of two numbers is 5. Find the minimum value of the sum of their cubes.

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…

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

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Q: The product of the square of one number by the cube of the other number is to be maximum. Find the…

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Q: Find two nonnegative numbers whose sum is 9 and so that the product of one number and the square of…

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

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Q: Find two numbers whose sum is 40 and whose product is a maximum.

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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: Find the maximum product of two positive numbers given that the sum of the first number and twice…

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Q: The sum of two numbers is 6. Find the minimum value of the sum of their squares.

A: The sum of two numbers is 6. Find the minimum value of the sum of their squares.

Q: the sum of a number and 3 times another number is 12. their product is a maximum. find the numbers…

A: The above question is answerd below

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

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Q: The difference of two numbers is 22. Find the numbers so that their product is to be minimum.

A: Numbers

Q: Since you can’t leave the house on quarantine, you decide to have your groceries delivered.…

A: Given that A grocery store charges $10 to make a delivery, with each large box of noodles priced at…

Q: The sum of two positive numbers is 20. Find the numbers if (a) their product is maximum (b) the sum…

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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: A fitness club charges a $50 membership price per month. At this price, the club can attract 504…

A: Suppose p be the price and x be the number of member's. The Px,p=504,50 and Qx,p=528,48 Now use the…

Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: NOTE: Refresh your page if you can't see any equations. . length L=x width W=x height H=y the…

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 two positive numbers the sum of which is 100, and the square of one number times twice the cube…

A: Use the given statement mathematically then solve by making the function and make derivative of that…

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: 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: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: As per given  We have to determine dimension of rectangle box

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 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 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: The sum of 2 numbers is 15. Find these numbers if their product is a maximum

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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: The sum of two positive numbers is 12. What two numbers will maximize the product? The numbers are…

A: Application of derivative

Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: Given:- A courier service will deliver a package only if the length plus girth does not exceed 96…

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

A: Answer and explanation is given below...

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 the square of one by the cube of the other is to…

A: Given,  The two numbers whose sum is a  The product of the square of one by the cube of the other is…

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: PLEASE ANSWER:  Find the number in the interval [−1, 1] such that the sum of the number and its…

A: To find the number in the interval [-1,1] satisfying the given conditions.

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: 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: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: We have to solve above question and the find the two number

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

A: Given: The sum of two positive numbers is 10.

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

A: Let two numbers be x, y Sum of the two numbers is given as k Therefore, x+y=k ...(1) Now, it's given…

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: 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: 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: In planning a restaurant, it is estimated that a daily profit of $6 per seat will be made if the…

A: Let x be the number of seats that is beyond 50 seats, Then the daily profit per seat is decreased by…

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…

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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 11 and product is a maximum?

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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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