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

Q: Maximize f = x + 3y subject to x + 4y 0 Rectan

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

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

A: The answer is found in step-2

Q: Use the method of Lagrange multipliers to find three positive real numbers, x, y, and z whose…

A:

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: Find two nonnegative numbers x and y such that xy=72 and 9x+2y is minimized.

A: Let the two non negative numbers be x and y Given xy=72 Therefore, y=72x Sum of two positive numbers…

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

A: To use the Lagrange Multiplier method to find the maximum and minimum value of the below function…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given function: fx,y=2x+2xy+y......(1) costraint:2x+y=200......(2) Applying the Lagrange multiplier,…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: Use Lagrange multipliers to find the indicated Extrema, assuming that x and y are positive.…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: Given, the function max f(x, y) = 2x + 2xy + y, and the constraint 2x + y = 100. We have to find the…

Q: Use the simplex method to find x, 2 0 and x2 z 0 such that X, + 3x2 2 24 X, + X2 s 42 and such that…

A: Given two equations:x1+3x2≥24x1+  x2≤42Query is to find the valus of x1≥0, x2≥0such that z=12x1+10x2…

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: Maximize f(x, y) = 3xy Зху subject to x + y = 1

A:

Q: Use Simplex method to maximize Z = x + 2y Subject to 2x + y <8 2x + 3y < 12 I, y 2 0

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given problem is :

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

A: Recall:  Method of Lagrange Multipliers: To find the extremum values of f(x, y) subject to…

Q: Find two positive numbers x and y that maximize Q = x2y if x + y = 2.

A: Given function - Q = x2y               ...........(1)And,x+y = 2y = 2-x…

Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

A:

Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2< 36 and z = x1 + 3x2 is…

A:

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: The given equations are fx,y=6-x2-y2 and x+y-2=0

Q: Maximize x2y subject to the constraint that 1 > x+y.

A:

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: Use Lagrange multipliers to maximize f(x, y) = x + 3xy + 4y subject to the constraint 2x + y = 1

A:

Q: Find Positive nombers X$ Y Such that X+y = 78 and 24xy a is maximized

A: To find two positive numbers 'x' and 'y' such that,  x + y = 78     =&gt; y = 78 - x And such that…

Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

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

A:

Q: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2

A:

Q: ) Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x - 10, if such…

A: Solve the following

Q: Maximize P = xyz subject to x + z = 12, y + z = 12, x ≥ 0, y ≥ 0, and z ≥ 0

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: By using Lagrange multipliers to find the indicated extrema, assuming that x and y are…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

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: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2 < 36 and z = x1 + 3x2 is…

A:

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

A:

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

A:

Q: Maximize B = xy“, where x and y are positive numbers such that x + y = 3. The maximum value of B is

A: To maximize, B=xy2  --(1)Given that x+y2=3   ⇒y2=3-x   substituting in (1)

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: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

A:

Q: Use Lagrange multipliers to solve Maximize…

A: Consider  fx, y=2x+2xy+y Subject to constraints   2x + y = 100

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

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.