Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their product is maximum.

Q: Find three consecutive even intergers such that the product of two smaller numbers is the same as…

A: Let the consecutive even integers be  x, x+2,x+4, where x  is even , then we use the given condition…

Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

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 integers such that the sum of the first and five times the second number is 2000…

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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: 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 that satisfy the given requirements. The sum of the first number and twice…

A: Let the numbers are x and y So, x+2y=108  Or, x= 108-2y    Product of them = P=  xy= (108-2y)y

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A: The solution to the given question is explained below. We use partial differentiation technique to…

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

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Q: Find a positive number for which the sum of its reciprocal and four times its square is the least.

A: Let x be a number. According to question

Q: Find two positive numbers whose sum is 7 and the product of the cube of one number and the…

A: Let x and y be the positive numbers such that

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Find two positive numbers such that the sum of twice the first number and three times the second…

A: Let one number be 'x' and other number be 'y'.  Given that sum of twice of one number and thrice of…

Q: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: What positive number added to its reciprocal gives the minimum sum?

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Q: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

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Q: Find two positive numbers that satisfies the given requirements. The product is 147 and the sum of…

A: This is an optimization problem in which product = 147 is equality type constraint and function is…

Q: Find three consecutive odd intergers such that the product of the two larger numbers is 18more than…

A: To form the equation satisfied by the required integers  and therby solve for them

Q: Find three consecutive positive odd integers such that the square of the first is 9 more than 6…

A: Given : The square of the first is 9 more than 6 times the sum of the second and third

Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Find two positive numbers, x and y, whose product is 100 and whose sum is as small as possible.

A: Suppose x and y be the positive numbers whose product is 100 So, xy=100 Then, y=100x…

Q: Find two positive real numbers such that they sum to 108 and the product of the first times the…

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Q: Find three positive numbers whose sum is 24 and such that their product is as large as possible.

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Q: . Find two positive integers such that the sum of the first number and four times the second number…

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Q: . Find the three positive numbers whose sum is 48 and whose product is as large as possible.…

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Q: Find two nonnegative numbers such that the sum of first number and 3 times the second number is 1200…

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Q: Find two positive integers such that the sum of the firstnumber and four times the second number is…

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

Q: Find two nonnegative numbers such that the sum of first number and 4 times the second number is 1600…

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Q: Find two consecutive integers such that tn more than twice the smaller is seven less than three…

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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 x and y , whose product is 900 and whose sum is as small as possible

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

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

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: Find three positive numbers whose sum is 63 and such that their product is as large as possible.…

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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: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

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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: Find two positive numbers that satisfy the given requirements. The product is 147 and the sum of the…

A: Let x and y be the required numbers. Now given that the product is 147. That is,

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: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: Find two positive numbers with product 576 and whose sum is a minimum. Enter your answers in…

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Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir…

A: Given query is to find indicated unknown number.

Q: Find two numbers whose sum is 12 and the product of the square of the first number by the cube of…

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