Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2 subject to the constraint 2x + 16y = 6.

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: A shoe company produces 2 types of sports shoes, namely type-1 shoes and type-2 shoes. The firm's…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) constraint that 4x² + y²…

A: In the given problem we have to find the maximum and  minimum value of a function subject to a…

Q: Maximize B=xy2​, where x and y are positive numbers such that x+y2=10.

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Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: The function f(x,y,z) = 4x+z has an absolute maximum value and absolute minimum value subject to the…

A: By using Lagrange multipliers the solution of given problem is given as follows :

Q: Optimize the function f(x,y) = 4x3 + y2 subject to the constraint 2x2 + y2 =1 using the method of…

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Q: Use Lagrange multipliers to find the extreme values subject to the constraint please.

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Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: Use the Lagrange multiplier method to find the values of and y that minimise the function 2x2 + y²…

A: Let us consider the function f(x,y)  To determine the maximum and minimum value of the function…

Q: Find the minimum value ofx +y +z² given x+y+z=3a.

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Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

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Q: Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint…

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Q: Find the maximum of v = xyz subject to the constraint 6x+4y+3z-24=0.

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Q: A dairy farm offers two types of milk: whole milk and skim milk. The total revenue from x units of…

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Q: A firm producing two goods “X" and "Y" has the profit function Z= 640X – 20X? + 40XY - 40Y² + 320Y –…

A: We will find out the required value.