Using Lagrangian Multiplier Method, maximize the following utility function: U=2x+3y+ 3xy Subject the to following constraint: 2x+3y = 8 and find out optimal values of goods 'x' and 'y', where utility of the is consumer maximum

Q: 5. ( the area of the rectangle. ) A rectangle is inscribed inside a circle of radius 16. Our goal is…

A: To find the value of x that maximizes the area

Q: . The Minimum point of y = x3 3x+6

A:

Q: Maximize Z = 3x + 4y subject to the constraints: × + y =0, y =0. Find the maximum value of 2?

A:

Q: 4) Value of gold bar is V=2500 evt and interest rate r=0.07 please find the optimal value of t to…

A: We have to find the optimal value of t to maximize the present value.

Q: sing Lagrange Multiplier, what are the maximum and minimum values of f(x,y) = 4x³ + y² subject to…

A:

Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y²…

A: Given function is f(x,y)=x+5y-2xy-x2-2y2 Given constraint is 2x+y=4   To Maximize the given function…

Q: 4. A company manufactures two types of tyres: steel (x) and alloy (y). The revenue functio of the…

A:

Q: Current Attempt in Progress Use Lagrange multipliers to find the maximum and minimum values of f(x,…

A:

Q: 6) Use Lagrange multiplier method to find the extrema of f(x1, Xz. -. , In) = x, + x2 + +x, subject…

A: Given, f(x1,x2,....xn)=x1+x2+x3+.....xn,  constraint x12+x22+x32+....+xn2=1 now equation we need to…

Q: -) Consider the following graphical solution and Simplex Method path for an LP with objective…

A: From given feasible region we can write the associated mathematical form of LPP:sub to:…

Q: A business manufactures boxes in Virginia and New York. In Virginia, the cost for producing X units…

A:

Q: I want you to derive a meaning for the "multiplier" A. In what follows, we consider the problem of…

A: Suppose, an extremal value of f occurs when  x=x*y=y*λ=λ* The point x*,y*,λ* is an extreme point.…

Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: Suppose that y represents health status function of 1 and a2 given by y = - (21 - 8) - (22 – 7)2 +a…

A:

Q: Given the utility function of a consumer for the goods x and y, U = (x + 2)(y+ 1) and the prices of…

A: According to the given information, it is required to find the optimal levels of purchase x and y.

Q: Maximize z = x + 2y Subject to: x + y s 12 (resource A), x < 8 (resource B), y < 6 (resource C), х,у…

A: We have to find given probability.

Q: Maximize subject to Z = X₁ +5x₂ + x3 + 8x4 X₁ + 4x₂ + x3 + x4 ≤60 X₂ + 5x3 + x4 ≤ 100 X1 x₁20, X₂…

A:

Q: Maximize the total output f = x1 + X2 + X3 (production from three distinct processes) subject to…

A: One of the method used to optimize a quantity is using the Simplex method. Graphical method is the…

Q: A firm has 2 plants with different functions: - Plant 1: MC = 30 + Q - Plant 2: MC = 20 + 2Q How to…

A: Let us take the outputs of plant1 as Q1 and outputs of plant 2 as Q2.  Then the required marginal…

Q: Q2// Find the optimal point from the * :mathematical model (by Big-M methods) Max Z=150 x, +110x+…

A: We solve given LPP by Big-M Method.

Q: Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m^2 of surface…

A: The given surface area is m ^2of the open box,and the sum of the edges is  m.Consider the length,…

Q: 6. Suppose a company has two separate plants that manufacture the same item. Suppose x is the amount…

A:

Q: Maximize and minimize p = x + 2y subject to x + y ≥ 4 x + y ≤ 6 x − y ≤ 4 x − y ≥ −4. Maximum: p…

A: Graphical method to solve a linear programming problem  Replace the ≥,≤ sign to '=' sign in each of…

Q: (FAB 4) Use Lagrange Multipliers to find the maximum and minimum values of f (x, y) = 81x² +…

A: Given f(x, y) = 81x2 + y2 Constraint: 4x2 + y2 = 9

Q: Determine the maximum and minimum values ​​of the objective function F(x,y) -2x +5y from the shaded…

A: The given graph is