Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What is the maximum product? The pair of numbers whose sum is 20 and whose product is as large as possible is. (Use a comma to separate answers.)

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 the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

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

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Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

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

A: Find the product minimum

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: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

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Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A: Given: Some airlines have restrictions on the size of items of luggage that passengers are allowed…

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

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Q: Find the maximum value of 5x1 5x2 +7x3 +X4 Subject to the condition that xx X 100 4

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Q: A farmer has 2800 yards of fence to enclose a rectangular field. Define a formula that gives the…

A: A farmer has 2800 yards of fence to enclose a rectangular field. Therefore the perimeter is 2800…

Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

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Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

A: To find a positive number for which the sum of it and its reciprocal is the smallest possible.

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: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

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Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

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

A: The difference of two numbers is 16. We have to find a pair whose product is as small as possible.…

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 10, find a pair whose product is as small as…

A:

Q: A farmer wants to fence a rectangular piece of landand divide that into three rectangles. He has 480…

A: Given: A farmer wants to fence a rectangular piece of land and divide that into three rectangles. He…

Q: 11. What is the minimum product of two numbers whose difference is 18?

A: lets' numbers are x,x-18 where; x>x-18 so, productp of them will be p=xx-18=x2-18x now, product…

Q: Of all the numbers whose sum is 52, find the two that have the maximum product.

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Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

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Q: small island is 4 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Given query is to find the least amount of time to reach at town.

Q: find the dimensions of a rectangular plot of land such that the perimeter is 80 meters and the area…

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Q: The perimeter of a rectangle is 36 m. Use a calculus approach to determine the maximum area of such…

A: The solution of above question is written below.

Q: In an orchestra, 20 people can play stringed instruments, 18 can play brass, and 14 can play…

A: Consider the possible events to create the orchestra. A : People who plays stringed instruments. B :…

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: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

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

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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: A college is planning to construct a rectangular parking lot on land bordered on one side by a…

A: first we let the length and width of three sides

Q: 1. Amazon wants to create an open-top box with a square bottom with only 149 in2 cardboard (the…

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Q: A farmer is is building a fence to enclose a rectangular area against an existing wall, shown in the…

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Q: Find two numbers whose sum is 30 and whose product is the maximum possible val What two numbers…

A: Given that: Sum of two numbers is 30

Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: Given 81 variables that satisfy 0 < a1 < a2 < ...< ası <1, what is the maximum value of

A: Given:

Q: Of all numbers whose difference is 10, find the two that have the minimum product. ..... What are…

A: The numbers can be as follows:

Q: Given 81 variables that satisfy 0 < a1 < a2 <...< ası < 1, what is the maximum value of

A: Given:

Q: A company finds that if they price their product at $ 30, they can sell 138 items of it. For every…

A: To find the maximum revenue possible

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: A customer has a circular pool that is 20 feet in diameter. They want to plant bushes completely…

A: Given that: Diameter of circular pool=20 ft

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: 2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

A:

Q: Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What…

A: Sum is 20 and product is maximum.

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

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

A: