1. Of all numbers whose sum is 70, find the two that have the maximum product. That is, maximize Q = xy, where x + y = 70.

Q: If a rectangle has dimensions x and y, then we must maximize the area A = xy. Since the perimeter is…

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Q: 2. Find the critical points and determine whether they are a maximum, minimum or neither. y = a° –…

A: In the question we have to find the critical point also max. and min. points.

Q: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

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Q: 3. Find three positive integers x, y, and z if their sum is 30 and the sum of the square is a…

A: Let the positive integers be x , y & z .

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: JACEM makes and sells two competing products, burgers and pizza, that cost $C, and $C, per unit,…

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Q: Find the number in the interval [ – 1, - 0.25] so that the sum of that number and its square is…

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Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

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Q: Of all numbers whose sum is 46, find the two that have the maximum product. That is, maximize Q = xy…

A: Given ,           x+y=46           Maximize , Q=xy

Q: Suppose that x and y are two positive numbers, and suppose that r+ 2y = 30. Find the maximum value…

A: Given that: x+2y=30…

Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

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Q: Given ScZand IS -a, what is the maximum value of x+y:x.YESAX+Y1?

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Q: If C(x) is the cost of manufacturing an amount x of a given product and $8 is the price per unit…

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Q: Find two nonnegative numbers x and y with 2x + y = 3 for which the term xy² is maximized. by

A: Given 2x+y=30, we need to maximize xy2

Q: The profit equation for for Scotty’s Socks is given by P (q) = (2q^3)− (2q^2)− 4q + 8, where q is…

A: To find the maximum of the function fx, solve the equation f'x=0 for x. If f''x<0 then the…

Q: Find two nonnegative numbers x and y for which 2x + y = 30, such that xy2 is maximized.

A: Given that, 2x + y= 30 y = 30 - 2x ................... (1) The function is: f(x, y) = xy2  f(x) = x…

Q: For each value of λ the function h(x,y)=x2+y2−λ(6x+4y−18) has a minimum value m(λ). For which value…

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Q: If f'(x) = x - 2x² - x +2, thenf has a relative minimum at x= 1 -1 2 -2

A: The answer is

Q: Of all numbers whose sum is 52, find the two that have the maximum product. That is, maximize Q = xy…

A: Given, Q=xy                        ...(1) Where x+y=52⇒y=52-x                            ...(2)

Q: Write down (without solving) the dual LP problem. Minimize c =s+6t+u 9s -t+v23,000 u- v 21,000…

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Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

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Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: Find the values of x20 and y20 that maximize z= 14x+ 15y subject to each of the following sets of c…

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the…

Q: Suppose the feasi ble region has four corners, at points (0, 0), (4, 0), (0, 3), and (3, 2) If the…

A: Given corner points of the feasible region are

Q: To graph the maximum domain of the function f(x, y) = Vy – 2 - In [(y – 1)² + x – 1] The green…

A: Solve the given problem.

Q: 1. Find the maximum value of f(x, y) = 4xy where x > 0 and y > 0, subject to the constraint 9. = 1.

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Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: 1 Consider two nonnegative numbers x and y such that x+y= 10 . Maximize and minimize y -

A: To find two non negative numbers x and y.

Q: Suppose we find x =2 and y = 6 to be the proposed dimensions of a rectangle that minimize its area.…

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Q: the maximum product. That is, maximize Q=xy where x +y 40 re xD and y3=

A: Here, to maximize Q=xy where x+y=40⇒y=40-x So, Q(x)=x(40-x)=40x-x2

Q: Find the maximum of the following function: h(x,y) = In(x56 yl4) given the constraints: 4x2 + y? =…

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Q: Consider a storage with capacity volume v and weight w. n types of Goods can be stored inside, each…

A: given volume of storage capacity=V weight of storage capacity =W now, consider  y1, y2 , y3 ,…

Q: (THE RESULT NEEDS TO BE COMPUTED MANUALLY!) Maximize f = 15x, +Ax, + 9x3 +B X4 %3D subject to 10x,…

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Q: If y =4√x- x the value of x that maximizes y is ......... and this maximum is

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Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

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Q: Find the number in the interval (-1, -0.25) so that the sum of that number and its square is…

A: Let the function be fx=x+x2 and interval −1,−0.25. In order to function have maximized,…

Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0.…

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second…

Q: In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded…

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Q: Of all numbers whose difference is 4, fınd the two that have the minimum product. x= y=

A: Given that  Difference of two number is 4 and we need to find the two numbers whose product is…

Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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Q: Maximize P = xyz with x +y = 12 and z+y = 12, and x¸ y, and z >0.

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Q: Of all numbers whose sum is 54​, find the two that have the maximum product. That​ is, maximize…

A: we have to find the value of x and y when Q has maximum value. the solution is following.

Q: Ay 10어 6- (3, 5) 4- (어4) (7, 3) 2- (4, 1) 0어 4 6. 8. 10 N.

A: Here's in the graph there are four constraints, we will check all points which one is maximum.

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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Q: Find the number in the interval [ – 1, - 0.25] so that the sum of that number and its square is…

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Q: Minimize f(x,y)=x2-y2 subject to the contraint 3x-7y=-4 when the minimum occurs, what is  a. x?…

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Q: If f'(x) = x³ – 2x² – x + 2, then f has a relative minimum at x

A: f'(x)=x3-2x2-x+2, we have to find relative minimum of f.