7. Minimize C=5x+2y x+3 y215 Subject to 2 x+ y2 20 x, y20

Q: 19. Minimize C = 3x + 5y subject to 3x + y 27 x + 2y 2 4 x, y 2 0

A:

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: 32. Maximize and Minimize Z = 7x + 36y 2x + 3y > 6 -3x+ 4y < 8 5x – y < 15 Subject to :

A: We first draw 2x+3y=6 , -3x+4y=8 and 5x-y=15(using graphing calculator)

Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

A:

Q: Maximize p = 7x + 5y + 6z subject to x + y - z s 12 x + 2y + z s 32 x + y s 20 x 2 0, y 2 0, z 2 0.…

A:

Q: Minimize p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: 1. Maximize z= 3x + 7y subject to %3D 3x – 2y 0, y>0.

A:

Q: Maximize p= 2x + 5y subject to 2x + 3y =0, y>= 0

A:

Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

A: We have to find the solution to the given problem.

Q: Minimize C= 3x + 7y subject to x +3y >= 15                   4x + y >= 16                  X>=0,…

A:

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: Minimize : 4yi+3y2+y3 3y1 +y2 + 2y3 > 30 4y1 +3y2 < 25 2yı +3y2+y3 2 45

A:

Q: 3x + 8y ≤ 32 6x + 4y ≤ 34 x ≥ 0, y ≥ 0.

A: P=15.5 (x,y)=(5.67,0)

Q: 6. Minimize Z = 20x + 30y %3D asiminiM subject to 2x +y 56 x, y 2 0 7. Minimize

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 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 g = 7x + 6y subject to 5x + 2y > 16 3x + 7y > 27

A: Graph the feasible region of the system of inequalities using any graphing utility.

Q: 5. Maximize f = 2x + 5y + 2z subject to 2x + 7y + 9z < 100 6x + 5y + z 145 x + 2y +7z s 90

A:

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

A:

Q: Minimize c = 9x + 9y subject to x + 2y ≥ 35 2x + y ≥ 35 x ≥ 0, y ≥ 0. c= (x, y)=

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: 34. Minimize and maximize P = 12x + 14y subject to -2x + y 2 6 x + ys 15 3x - y 2 0 x, y 2 0

A: Given, minimize, and maximize                P=12x+14y     subject to              -2x+y≥6…

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: 4. Maximize : Z =10x+30y Subject to: 2x+ y 2 16 x+y <12 x+2y 214 х, у 20

A:

Q: 3. Minimize: Z = 20x + 10y and the constraints are: x + 2y s 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0, y…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Minimize c = x − 4y subject to 3x + y  ≥  5 2x − y ≥ 0 x − 3y ≤ 0 x ≥ 0, y ≥ 0.

A: PROBLEM HAS AN UNBOUNDED SOLUTION

Q: Z = 2x + 3y   Subject to –2x – y ≥ –10 x + 3y ≥  6 x ≥ 0 y ≥  0

A: To maximise the equation Z=2x+3y, the equations -2x-y≥-10 and x+3y≥6 are to be graphed and shaded.…

Q: こッt dss txs 3x,+6x27X L27 X, + Yx2 +3x, E 14 X,Z0, X2 30,Xs ZO MAximize 2x2 2. eubJect to

A: The given problem is Maximize z=4x1+2x2+x3 Subject to 3x1+4x2+x3≤27x1+4x2+3x3≤14x1,x2,x3≥0

Q: 4.2 А Minimize C= -2r – 3y subject to 3x + 4ys 24 7x – 4y s 16 x20, y z 0 Screen clipping taken:…

A: (A) The given L.P.P is          Minimize C=-2x-3y           subject to…

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: Minimize: Z = x + 3y Subject to: x + 2y > 6 х — у <3 X, y 2 0

A:

Q: To maximize Z= P 15x + P 8y Subject to: 5x + 2y ≤ 60 3x + 2y ≤ 48 x, y ≥ 0

A:

Q: Maximize p = x + 2y subject to x + 4y ≤ 22 4x + y ≤ 13 x ≥ 0, y ≥ 0.

A:

Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, +…

A:

Q: 5. Maximize z = 3x, + x2 + 4x3 subject to 3x, + 3x2 + xz < 18 2x1 + 2x2 + 4xz = 12 %3D X1 2 0, x3 2…

A: We to convert the given linear programming problem in to dual problem. The solution is explained…

Q: Maxcimize and Minimize Z= 2x+9y subject to: 9x +4y 2 36 9x-6y 2 0 y 56 xy20

A: Given ,  Linear programming problem Maximize and Minimize Z = 2x + 9y  Subject to :  9x + 4y ≥ 36 9x…

Q: P = 2x + 5y 2x + y 2 8 -4x + ys2 2х - Зy s 0 3. Maximize: Subject to: х, у2 0 C = 3x – 8y 2х- у s 4…

A:

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: 1. Minimize z = 3x1 + 4x2 subject to x; + 4x2 > 8 2x1 + 3x2 2 12 2x, + x2 2 6 х, 2 0, х, 2 0. 2.…

A:

Q: Maximize f 3x +y+ 5z 0, y 2 0, z >0 6x +7y + 8z subject to If no solutions exist enter DNE in all…

A: Maximize f=6x+7y+8z subject to 3x+y+5z≤205x+4y+3z≤182x+5y+4z≤24x≥0, y≥0, z≥0

Q: Give the optimal solution. Minimize z = 4x + 8y subject to: x + 1.5y ≥ 45 2x+ 0.5y≥ 40 x+y ≤ 40 x,y≥…

A:

Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: 3. Maximize p = x - y subject to 5x · 5y s 20 2х 10y s 40 x 2 0, y > 0. ANSWER ! p= 4; x = 4, y = 0

A:

Q: Maximize p = 3x + 4y + 2z subject to y + zs 5 x + 2y + zS 5 y + zs 4 x 2 0, y 2 0, z 2 0. Зх + x + p…

A: Query is to maximize p=3x+4y+2zsubject to3x+y+z≤5x+2y+z≤5  x+y+z≤5x, y, z≥0

Q: 1. Minimize: Z = 10x + 2y Subject to: x + y > 10 3x + y < 12 x 2 0 y 2 0

A: Converting given LPP into the standard formMinimize:      Z= 10x+2ySubject to :   x+y =10…

Q: 32. Minimize and maximize MAM P = -x + 3y subject to 2r - y24 -x+ 2y < 4 yS6 x, y 20

A:

Q: Minimize : 20yı + 12y2 + 40y3 Yi +y2+5y3 2 20 2yı +y2 +y3 2 30 4.

A: The LPP is  MIN Z = 20y1 + 12y2 + 40y3subject toy1 + y2 + 45y3 &gt;= 202y1 + y2 + y3 &gt;= 30and…

Q: 28. Minimize and maximize z = 400x + 100y %3D subject to 3x + y 24 x +y 16 x + 3y 2 30 x, y > 0

A:

Q: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.