> 2 x +y + z Зх + 2у + z |-5x + 3y + 4z 2 2 2х + 7у — z < 7 b) Let P ={ (x, y, z) e R3 < 8, Find the set of solutions (polyhedron) for the above set of linear inequalities.

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? +y² + z²…

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Q: Find the minimum value of f subject to the given constraint. f(x,y) = 3x2 + 3y?; 4x + 4y = 288

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Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: Find the null space associated with the equations: 2x+z+w = 0 7x-6y-z-w-v= 0 -5x+4y+w = 0 (Needless…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=0 is the matrix A is

Q: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 16 < 5 y s 4 x 2 0, y 2 0 y…

A: Given:-   2x + 4y ≥ 16 x ≤ 5 y ≤4 x ≥0, y  ≥0 To find:- Solution by graphical method

Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

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Q: Find the minimum value of f(x,Y)=34x2+25y2 subject to the constraint x2+y2=196 %3D

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Q: Which systen of inequalities best matches the purple shaded region? A. y2 x2- 5x+ 6, ys0, yS4-0.8x…

A: explanation of the above graph is given below...

Q: 3. Find the maximum and minimum values of f(x, y) = x² + y² - 2x - 2y + subject to the constraint…

A: We use langrange multiplier method

Q: Find maximum and minumum values of f(x, y, 2) = 7x – 14y + 35z subject to the constraint z? + y² +…

A: Use Lagrange multipliers and find maximum, minimum value.

Q: Solve for F(x,y)= 80x+5y2 with the constraint 2x+2y=1.4

A: given function is                              F(x, y)=80x+5y2contraint, 2x+2y=1.4 we have to find…

Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  2y ≤ 0 x ≥  0, y…

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Q: Find all absolute extrema of f (x, y) = x² + y² – 25 subject to the constraint y = +

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Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

A:

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint æ? + y? +…

A:

Q: The maximum and minimum values of 2x + 3y subject to the constraint x + y = 1, where 0 ≤ x,0 ≤ y,…

A: Given that 2x+3y  subject to constraint x+y=1 where x≥0, y≥0.

Q: Suppose two numbers x, y satisfy x – y = 4. The minimum value of the quantity x² + 3y? is O 24 12 36

A: Given  x-y =4 Then x=y+4 And minimum value of u=x2+ 3y2   ...(1)

Q: Find the extreme values of ƒ(x, y) = xy subject to the constraint g(x, y) = x2 + y2 - 10 = 0.

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Q: Sketch the region that corresponds to the given inequalities. 8x 7y 2 0 x - 6y s 0 x 2 0, y 2 0

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Q: The maximunm value for the function f(x, y) = x+y-z sub- ject to the constraint z2+y? + 22 = 12 is

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Q: Carefully sketch the region of the plane satisfying the system of inequalities. x + 3y 0 y 2 0

A: Since there are two questions posted, we will answer the first question (9). If you want the second…

Q: Find maximum and minumum values of f(x, y, z) = 7x - 14y + 35z subject to the constraint x² + y? +…

A:

Q: Find maximum and minumum values of f(x, y, z) = 2 - 4y + 10z subject to the constraint a? + y? + z?…

A: If f is our function and g is the constraint. We can use Lagrange multiplier, c to equate the first…

Q: f (x, y, z) = 2x + 6y + 2z Subject to constraint 2x2 + 4y2 + z? = 70

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Q: Find maximum and minumum values of f(x, Y, z) = 8x – 16y +40z subject to constraint x2 + y? + z2 =…

A:

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x² + y? +…

A: Hair we use langraj multi plier method to solve the the given problem.

Q: Find maximum and minumum values of f(x, y, z) = 6x – 12y + 30z subject to the constraint x2 + y? +…

A: We will use the Lagrange's multiplier to to find the minimum and maximum of the solution when the…

Q: What is the minimum value of f(x, y) =x +4y -2x+8y subject to the constraint X+2y=7

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Q: Find the minimum and maximum of the function z 7z - 4y subject to 7z-3y 2 18 7z+y s 57 What are the…

A: Given z=7x-4y subject to y≥1y≤87x-3y≥187x+y≤57 We will solve it by graphical method The shaded…

Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint æ? + y² +…

A:

Q: You are the owner of a printing business and to support your preferred presidential candidate for…

A:

Q: Sketch the region that corresponds to the given inequalities. 18x + 9y s 90 9x + 18y s 90 9x + 9ys…

A: The given inequalities are: 18x+9y≤909x+18y≤909x+9y≤54x≥0,y≥0

Q: Q. Find the absolute minimum value of w = x? + y2 + z subject to the constraints 2x + y + 2z = 9 and…

A: Solution :-

Q: Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or…

A: Given f(x,y)=xy and  11x+y=12 Apply the method of Lagrange Multipliers to calculate the extremum…

Q: Find the maximum and minimum values of z = 5x + 6y, subject to the following constraints. (S 6x + 8y…

A: maximize and minimize z=5x+6y subject to 6x+8y≤30015x+22y≤330x≤40, y≤21x≥0, y≥0

Q: The minimum value of the function f(r, y) = a +y - 4 subject to the constraint a +y" = 2 is, -2.…

A:

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x? + y? +…

A:

Q: the system of inequalities. O x+ ys30 x2 10 y2 10 O 2x + ys 30 x2 10 yz 10 O x+y2 30 X< 10 y< 10 O…

A:

Q: A manufacturer of open steel boxes has to make one with a square base and a volume of 1 m3. The…

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Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

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Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² +…

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Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x? + y² + z? = 4 and x? +…

A:

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint 2 + y² + z²…

A:

Q: Find the minimum value of f (x,y,z) = 2x2 + y? + 3z? subject to the constraint 2x - 3y - 4z = 49

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Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

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Q: Maximize f(x, y, z) = x + 2y + 3z under the constraint x? + y? + 2² = 14.

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Q: (a) Let f(x, y) = x² + 2y². Find the extreme values of f(x,y) subject to the constraint equation x²…

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Q: Find the minimum value of f subject to the given constraint (x.y) = 2x2 +y?; 2x + 3y = 44

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