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

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

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Q: Samuel is running a diet center. Each lunch requires 0.3 kg of protein, while each dinner requires…

A: 0.3 Kg lunch time 0.4 Kg dinner time 167 Kg every month

Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

Q: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

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

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Q: Maximize 12X + 10Y Subject to: 4X + 3Y s 480 2X + 3Y s 360 al varlables 20 Which of the following…

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

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

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Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

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Q: Minimize S = xy + xz + yz subject to xyz = 3 v

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Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

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Q: Maximize P= 4x + 7y subject to 2x + y = 0, y>= 0

A: Hi, Since the method of solving the given problem is not mentioned, herewith, I solve the given…

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: Minimize Q=6x^2+2y^2​, where x+y=8

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Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: Maximize z = x + 3y 3x +7y > 63 54 at

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

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Q: Maximize 5x+5y subject to  2x+y≤30 x+2y≤24 x,y≥0

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

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

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Q: 2) Maximize z = 7x1 + 2x2 + x3 subject to: x1 + 5x2 + 7x3 <8 X1 + 4x2 + 11x3 s 9 x1 20, x2 20, x3 20…

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Q: Maximize P = 5x + 3y subject to 4x + 2y ≤ 20 3x + 3y ≤ 21 x ≥ 0, y ≥ 0

A: Please see the below explanation:

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

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

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Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

Q: Maximize: z =x+ 10y subject to: 6x+ 5y < 30 10x +ys 30 X20, y 2 0 The maximum value is

A: Constraints: 6x+5y≤3010x+y≤30 Graph each inequality by finding x  and y intercepts 6x+5y=30x…

Q: Maximize f (x, y) = x + y subject to g (x, y) = x² + y = 4

A: Given function fx,y=x+y......(1) gx,y=x2+y2=4......(2) Applying the Lagrange multiplier, note that…

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…

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Q: Determine the optimal solution using graphical method. Maximize: Z= 20x – 4y Subject to: 2x + y 2 8…

A: Given

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: Minimize ?=2x+3y subject to:  4x+y≥7  x+y≥4  2x+5y≥14  x, y≥0 Corner points at…

A: The Graph is as shown below:

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: 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

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

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

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Q: Maximize Z = 1 x +1 y S.T. 1x + 2 y s 2000 1x +1y 0.

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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: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

A: The given problem is: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

Q: Minimize Z=8x+12y subject to 4x+6y214, 4x+5y9, x>0, y20 M=?

A: Given LPP is Minimize  Z = 8x + 12y Subject to  4x + 6y ≥ 14, 4x + 5y ≥ 9, x ≥ 0, y ≥ 0

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

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Q: Maximize p = 9x + 6y subject to x + 3y ≥ 6 −x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0. p= (x, y) =

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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: Q1/Use simplex method to maximize the function max R=7x+ 4y Subjected to 2x+ y =20 X+Y< 18

A: To maximize R=7x+4y S.T.C. 2x+y=20x+y≤18x≤8 Introduce the slack and artificial variables: Max…

Q: Maximize z = 5x + 6y %3D subject to: 3x + 2y s 12 x +2 y < 8 y 2 0

A: See attached file for a step by step explanation.

Q: Suppose that the utility function for two products is given by U = xy', and the budget constraint is…

A: The complete solutions are given below

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

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Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

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