Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What is the maximum product?

Q: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

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: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as…

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Q: Find three positive numbers whose sum is 600 and whose product is a maximum. Answer (separate by…

A: Given that the sum of three numbers is 600 and their product is maximum. We need to find these three…

Q: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum…

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Q: The pair of numbers whose sum is 22 and whose product is as large as possible is (Use a comma to…

A: Let, x be one of the number from the pair who's sum is 22 and whose product is as large as possible.…

Q: A rectangle is bounded by the x−axis and y−axis and the graph of y=(6-x) / 2. What length and width…

A: The area of the rectangle is given by the formula, A=x·y Since the point (x, y) lie on the line so…

Q: Find two positive numbers whose sum is 100 and the sum of whosesquares is a minimum.

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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: Among all pairs of numbers whose sum is 4, find a pair whose product is as large as possible. What…

A: Let the pair be (x,y) such that, x+y = 4 Now,  y = 4-x ∴ xy = x(4-x) = 4x-x2

Q: The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to…

A: The objective of the question is determine the possible values for maximum product and the product…

Q: 12. Of all numbers whose sum is 70, find the two that have the maximum product.

A: let x and y be two numbers whose sum is 70   we have to maximize  M=xy where x+y=70

Q: Solve using optimization 2. Find a pair of non-negative number that have a product of 162 and…

A: Solved below

Q: A farmer has 480 meters of fencing with which to build two animal pens with a common side as shown…

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Q: Among all pairs of numbers whose difference is 10, find a pair whose product is as small as…

A: Let the two numbers are x and yGiven that x-y=10-1Let fx,y=x.yFx,y=fx,y+≺.∅x,ywhere ∅x,y=x-y-10

Q: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

A: Two numbers having sum 16 We need to find all pairs of numbers having sum 16 and whose product is as…

Q: Find the dimensions of the rectangle of maximum area which can be laid out within a right triangle…

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Q: Among all pairs of numbers whose difference is 18, find a pair whose product is as small as…

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Q: Among all pairs of numbers whose difference is 16, find a pair whose product is as small as…

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Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

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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: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

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Q: What is the maximum product of two numbers whose sum is 9 ​? What numbers yield this​ product?

A: The sum of two numbers is 9.

Q: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as…

A: Let the numbers are x, y then Given as x-y=14

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: Among all pairs of numbers whose difference is 24, find a pair whose product is as small as…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: among all pairs of numbers with a sum of 229 find the pair whose product is maximum

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

A: Let the numbers are x and y. x2 + y = 48 .................(1) y = 48 - x2   The product of two…

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: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

A: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

Q: Among all pairs of numbers whose difference is 8, find a pair whose product is as small as possible.…

A: We have to find minimum product where difference of pair of numbers is 8. Let pair of numbers are x…

Q: among all pairs of numbers whose difference is 20, find a pair whose product is as small as…

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Q: Among all pairs of numbers whose difference is 4, find a pair whose product is as small as possible.…

A: let the smaller number is x and the other number is x+4.and solve the question . see 2nd step.

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 whose sum is 20 and whose product is maximum?

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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: Among all pairs of numbers whose sum is -18, find a pair whose product is as large as possible. What…

A: Find a pair whose product is as large as possible. What is the maximum product?

Q: What is the maximum product of two numbers that add to 28? What numbers yield this product?

A: Given query is to find two numbers that add to 28 and their product will be maximum

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

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Q: A courier service will deliver a package only if the length plus girth does not exceed 69 inches.…

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

Q: A farmer builds a rectangular grid of pens with 1 row and 8 columns using 1000 feet of fencing. What…

A: We have to find the length and width e of the rectangular field so as to maximize the area.

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: What is the maximum area he can enclose?

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Q: Among all pairs of numbers whose difference is 4, find a pair whose product is as small as possible.…

A: let the smaller number be = x

Q: Among all pairs of numbers whose sum is 14, find a pairwhose product is as large as possible. What…

A: Let the numbers be x and y .Then, according to  given condition,x+y=14 for which xy is maximumFrom…

Q: A rectangular enclosure is built against a wall, which forms one side of the enclosure. If there is…

A: Let 'x' be the width of rectangular enclosure and 'y' be the length of rectangular enclosure.

Q: By cutting away identical squares from each corner of a rectanglar price of cardboard  and folding…

A: let x side square cut from the end of rectangular cardboard

Q: Among all pairs of numbers whose sum is 10​, find a pair whose product is as large as possible. What…

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Q: Find three positive numbers whose sum is 400 and whose product is a maximum. Answer (separate by…

A: Let the three numbers be x, y, z. The sum of numbers = 400. Therefore, x+y+z= 400.…