Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥ 0. p=(x, y, z) =

Q: Maximize p = x - y + z + w subject to x + y + z< 5 y + z + w s 5 x + z + w s 6 x + y + w< 6 x 2 0, y…

A: given maximize p=x-y+z+w  subject to x+y+z≤5y+z+w≤5x+z+w≤6x+y+w≤6where x,y,z,w≥0 to find - value of…

Q: The number of defects on the front side (X) of a wooden panel and the number of defects  on the rear…

A: Given, f(x,y)=c(x+y), x=1,2,3 y=1,2,3 c value:…

Q: Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40     2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥…

A: According to the given information, it is required to solve the maximize problem.

Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 13 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 5 x ≥…

A: The given problem is: Maximize P=10x+10y+15z Subject to x-y+z≤132x-2y+z≥15-y+z≥5x,y,z≥0

Q: minimize z=4x+6y subject to: 3 0 y > 0

A: We are going to solve the give. Problem by graphical method.  In the shaded region, the linear…

Q: Maximize p = 6x + 5y + 4z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p=(x, y,…

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Q: Maximize p = 2x + y subject to x + 2y ≤ 11 −x + y ≤ 6 x + y ≤ 6 x ≥ 0, y ≥ 0. p=(x, y) =

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Q: Minimize f(x, y) = (2x^2) + (y^2) − xy subject to x + y = 8

A: Minimize f(x, y)=2x2+y2-xy subject to: x+y=8

Q: Maximize p = x − y + z + w subject to x + y + z  ≤  7 y + z + w  ≤  7 x + z + w  ≤  8 x + y + w  ≤…

A: Using simplex pivot tableau method

Q: A multinational refreshments firm has 68 monetary units available to produce the maximum possible…

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Q: Minimize c = 4x + y + 5z subject to x + y + z 2 70 2x + y 2 50 y + z2 50 x 2 0, y 2 0, z 2 0. C =…

A: The given constraints are  x+y+z≥70, 2x+y≥50, y+z≥50 and x≥0, y≥0, z≥0. Obtain the coordinates x, y,…

Q: Adi maximizes his utility by consuming goods x and y and his utility function is given by: Max U =x…

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Q: Maximize p = 2x + 2y + 2z + 2w subject to x  +  y  +  z  ≤  3 y  +  z  +  w  ≤  4 x  +  z  +  w  ≤…

A: To find- Solve Maximize p = 2x + 2y + 2z + 2wsubject tox + y + z ≤ 3y + z + w ≤ 4x + z + w ≤ 5x + y…

Q: Maximize  p = x − y + z + w  subject to x + y + z  ≤  3 y + z + w  ≤  3 x + z + w  ≤  4 x + y + w  ≤…

A:

Q: Maximize  P = x + 4y − 2z subject to 3x  +  y  −  z   ≤   40 2x  +  y  −  z   ≤   20 −x  +  y  +…

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Q: 8. Maximize Z = 0.5x –0.3y Subject to x- y >-2, 2x - y<4, 2x+ y = 8, *** x, y 2 0.

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Q: Maximize and minimize p = x + 2y subject to x+ y2 2 x+ys8 x-ys2 x- y2 -2. Minimum: p = (x, y) =…

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Q: Maximize p = 14x + 10y + 12z subject to x + y - z3 3 x + 2y + z s 8 x + y < 5 x2 0, y 2 0, z 20. p =…

A: Given problem is MAX  p = 14x + 10y + 12zsubject tox + y - z ≤ 3x + 2y + z ≤ 8x + y ≤ 5x≥0, y≥0, z≥0…

Q: Minimize c = 5x + y + 2z subject to x + y + z ≥ 90 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0.

A:

Q: Minimize ƒ(x, y, z) = xy + yz subject x2 + y2 - 2 = 0 and x2 + z2 - 2 = 0.

A: We will make use of the method of Lagrange Multiplier. Please see the primer below:

Q: Maximize  p = 10x + 10y + 15z  subject to x  −  y  +  z ≤ 12 2x  −  2y  +  z ≥ 14     −y  +  z ≥ 4 x…

A:

Q: Maximize p = 5x − 4y + 3z subject to 2x + 2z ≤ 100 5y − 5z ≤ 50 2x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥ 0.…

A:

Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Here, There are three variable given in the question and we have to maximize the objective function…

Q: Maximize  f = 8x + 9y + 3z  subject to 2x  +  7y  +  8z  ≤  100   6x  +  3y  +  z  ≤  160   3x  +…

A:

Q: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0,…

A: To solve the given linear programming problem: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80…

Q: Maximize p = /x + 5y + 6z subject to x + y - z s 12 x + 2y + z 0. p = (х, у, 2) %3D (|

A:

Q: Maximize p = 4x + 4y + 4z + 4w subject to x  +  y  +  z  ≤  3 y  +  z  +  w  ≤  4 x  +  z  +  w  ≤…

A: Add the slack variable S1, S2 S3 and S4 to the constraint 1, 2, 3 and 4.   After introducing the…

Q: Operation mangement Graphical method Max z=20x+45y Subjected to 3x+6y0

A: We have the problem: Max z= 20x+45y Subject to  3x+6y≤702x+5y≤90x,y≥0 First, we find out the…

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0

A:

Q: Maximize p = 14x + 10y + 12z subject to x + y - zs 12 x + 2y + zs 32 x + ys 20 x2 0, y 2 0, z 2 0. p…

A: the given constraints are  x+y-z≤12x+2y+z≤32x+y≤20 adding the slack variables…

Q: Maximize p = 6x + 8y + 4z subject to Зх + y + z 0, z > 0. p = (х, у, 2) %3D

A:

Q: Maximize z=4x+4yz=4x+4y Subject to x+4y≤327x+y≤35x≥0y≥0x+4y≤327x+y≤35x≥0y≥0 Maximum is    at xx =…

A: We use graphical method for maximizing the given problem. For convenience, we take x = x1, y = x2.

Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 12 x + 2y + z ≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥…

A: Given optimization problem is max p=14x+10y+12zsubject tox+y-z≤12x+2y+z≤32x+y≤20x≥0, y≥0, z≥0 Since…

Q: Maximize Z=2x+y; subject to y≤10 2x+5y≤60 x+y≤18 3x+y≤44 and x≥0,y≥0

A: Given: Min: Z=2x+yy≤10…

Q: Maximize p = 12x + 8y subject to x + y ≤ 25 x     ≥ 10 −x + 2y ≥ 0 x ≥ 0, y ≥ 0.           p =…

A: Max P= 266.67 (x,y)=(16.67,8.33)

Q: Employing graphical method, minimize the distance of the origin from the concave region bounded by…

A:

Q: Find the minimum and maximum of P = 7x + 6y subject to 3x  +  5y  ≥  20 3x  +  y  ≤  16 −2x  +  y…

A:

Q: Determine the type of the critical point (I1,I2) = 3 2 of the nonlinear system X = f(x), where x =…

A: To determine the type of the given critical point x1,x2=32,23 The given non-linear system is. x'=fx…

Q: Minimize c = 4x + y + 2z subject to x + y + z ≥ 100 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0. p=…

A:

Q: Maximize p = 14x + 10y + 12z subject to x + y − z ≤ 3 x + 2y + z ≤ 8 x + y ≤ 5 x ≥ 0, y ≥ 0, z ≥ 0.

A:

Q: Maximize p = 5x – 4y + 3z subject to 2x + 2z s 100 5y - 5zs 50 2x 5y s 50 x 2 0, y 2 0, z z 0. (x,…

A: Given problem: Max p=5x-4y+3z subject to 2x+2z≤1005y-5z≤502x-5y≤50x≥0, y≥0, z≥0 By introducing slack…

Q: Maximize p = 2.1x + 4.1y + 2z subject to 3.1x + 1.2y + z ≤ 5.5 x + 2.3y + z ≤ 5.5…

A: According to the given information it is required to solve the given problem:

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 5 x + y ≤ 5 x ≥ 0, y ≥ 0. p=(x, y) =

A: Given Max. p=2x+ysubject to x+2y≤10-x+y≤5x+y≤5x≥0 ,y≥0 by graphical method we  can solve the  given…

Q: Q2, Maximize the profit P which depends on x-size, y=quality and z= weight of the product Maximize,…

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Q: Minimize c = 2x + 4y subject to 0.7x + 0.7y ≥ 7 2x + 4y ≥ 28 x ≥ 0, y ≥ 0.   min value c= occurs…

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Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 12 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 1 x ≥…

A:

Q: Maximize p = x subject to x − y ≤ 4 −x + 3y ≤ 4 x ≥ 0, y ≥ 0.

A: We have,  x - y ≤ 4        and      -x + 3y ≤ 4 x ≥ 0 , y ≥ 0 We will find Maximize p = x by graph…

Q: 4. Maximize f(x, y, z) =xyz subject to the condition g(x, y, z) = xy+ xz + yz

A:

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 −x + y ≤ 3 x + y ≤ 3 x ≥ 0, y ≥ 0. p=…

A: LINEAR PROGRAMMING. GRAPHICAL METHOD

Q: (ii) Minimize Z = yi + 2y2 Subject to: Зу1 + 4у2 > 5 2y1 + бу? 2 6 yi + y2 2 2 У1, У2 — 0.

A: