Maximize p = 2x + 4y + 2z + 4w + 2v subject to x + y ≤ 1 y + z ≤ 1 z + w ≤ 3 w + v ≤ 4 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0, v ≥ 0. p= ? (x, y, z, w, v)= ?

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

A:

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 = 4x + 6y + 2.2z + 8w subject to 1.2x+y+z+w≤81 2.2x+y−z-w≥20 1.2x+y+z+1.2w≥21 x ≥ 0, y ≥…

A: Step:-1 Given that  maximize  p =4x +6y +2.2z+8w1.2 x + y+z +w ≤812.2 x + 1 -z -w ≥201.2 x +y +z…

Q: Minimize c = 2x + 2y + 3z subject to x      +  z ≥ 140 2x  +  y     ≥ 70     y  +  z ≥ 70 x ≥ 0, y ≥…

A: We are given the following problem. Minimize c = 2x + 2y + 3zsubject to x      +  z ≥ 140 2x…

Q: Maximize and minimize p = x + 2y subject to x + y > 2 x + ys 10 х — уs 2 х — у2 -2.

A:

Q: Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 10.   Question 14 options:…

A:

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

A:

Q: Minimize c = x + y + z + w subject to 5х - у + w 2 9,000 z + w s 2,000 x + y 300 x 2 0, y 2 0, z 2…

A: The given problem is:

Q: Maximize and minimize f(x, y, z) 3x + y + 2z subject to 2x + 3y2 + 4z² 210 %3D

A: We have to use lagrange multipliers.

Q: Minimize f(x,y,z) = x² + y+z subject to the constraint that x+y+z-9 = 0 + z* subject to the…

A: by using lagrange multipliers  methood

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 + 4y − 2z subject to 3x  +  y  −  z   ≤   40 2x  +  y  −  z   ≤   20 −x  +  y  +…

A:

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

A:

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

A:

Q: Maximize p = 3x + 6y + 3z + 6w + 3v subject to x + y < 3 y + z < 3 z + w < 9 w + v < 12 x 2 0, y 2…

A: Consider the provided question,

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1 + 2x2 + 0x3 < 10 2x1 + 2x2 + X3 S 10 X1, X2, X3 2 0 d)…

A: Note: We are entitled to solve one question at a time. As the specified one is not mentioned, So we…

Q: Maximize p = x − 2y subject to x + 4y ≤ 8 x − 4y ≤ 0 7x − 4y ≥ 0 x ≥ 0, y ≥ 0.

A: Solve LINEAR PROGRAMMING PROBLEM, by graphical method

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

A:

Q: Minimize w=2y, +y2 + 3y, The minimum is w= when y, =.2 = and y, = (Type integers or simplified…

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: Use the technique developed in this section to solve the minimization problem. Minimize  C = 10x +…

A:

Q: Maximize P = 3x + 5y +4z 3x + 10y + 2z s 115 subject to 5x + 3y + 8z s 9 Sx + 10y + 3z s 108 x 20, y…

A:

Q: Maximize p = 7x + 5y + 6z subject to x + y – z s 12 x + 2y + z 0. (х, у, 2) -(| %3D

A: When a LPP involves more than two variables, the solution for the LPP cannot be found using…

Q: Maximize p = 3x + 6y + 3z + 6w + 3v subject to x + y < 2 y + z < 2 z + w < 6 w + v s 8 x 2 0, y 2 0,…

A: Here we need to maximize the function. We will find the solution by BigM method.

Q: Minimize c= x + y + z + w Subject to + w > 2,000 + w 0, w 2 0. p = (х, у, z, w)

A: (1).

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: Minimize f(x, y) = x² + }y² subject to yx? = 8. Specify both the optimal solution Question 8 and…

A: To find - Optimal solution and optimal value.

Q: Minimize c = 44x + 44y + 13z subject to 2x + z ≥ 4 2x + y − z ≥ 1 3x + y − z ≤ 2 x ≥ 0, y ≥ 0, z ≥…

A: Solve by using Simplex Method.

Q: Maximize p = 4x + 5y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0 p= x,y,z=

A: x,y,z= 0,150,0 p= 750 Normally these methods are solved by simplex methods but this question can…

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 p = 14x + 10y + 12z subject to x+ y -zs3 x+ 2y +zs 8 x+ ys 5 x 2 0, y 2 0, z2 0. P = (x, y,…

A:

Q: Minimize c = x + y + z + w subject to w 7,000 + w S 5,000 5x - y x + y 300 x 2 0, y 2 0, z 2 0, w 2…

A: The given problem is:

Q: Maximize p = 8x + 6y subject to x + y 0 X 2 0, y > 0. p = (x, y) =

A:

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: 1. Minimi [Ans. X1 max 2. Maximize Z = x+ x subject to x, + x, S 4, 2x, + x, S 6, x, + 3x, S 6, and…

A: We will find out the required solution.

Q: 1. Shade and label the feasible region R which satisfies: ys-x+6 1 y2-xーー y< 2x+4 y54

A:

Q: Minimize c = x + y + z + w subject to + w 2 7,000 z + w< 2,000 5х - у x + y 600 x2 0, y 2 0, z 2 0,…

A:

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: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

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

A:

Q: Use the technique developed in this section to solve the minimization problem. Minimize  C = x −…

A: The given minimization problem is Min C=x-2y+z subject to x-2y+3z≤302x+y-2z≤452x+y+3z≤60and x, y,…

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

A:

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

A:

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: Maximize p = 6x + 8y + 4z subject to 3x + y + z ≤ 5 x + 2y + z ≤ 5 x + y + z ≤ 4 x ≥ 0, y ≥ 0, z ≥…

A: Given that                       Max p=6x+8y+4z   subject to constraints                     3x + y…

Q: Maximize p = 5x + 7y + 6z subject to x + y + z 100 x 2 0, y 2 0, z > 0. p = (х, у, 2) 3

A: The given constraints are, x+y+z≤150, x+y+z≥100 and x≥0, y≥0, z≥0. Obtain the coordinates x,y,z…

Q: minimize c = 38x + 38y + 11z subject to 2x+z≥4 2x+y-z≥1 3x+y-z≤2 x≥0, y≥0, z≥0

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