Determine the region of feasibility given the following restraints. y≤−x+3  and x≥0 and y≥0 and y≤2   A: {(0,0),(2,0),(2,1),(0,3)} B: {(0,0),(3,0),(0,3)} C: {(0,0),(3,0),(1,2),(0,2)} D:{(0,2),(1,2),(0,3)}

Q: Minimize c = 4x+y+3z subject to x+y+z≥100 2x+y≥90y+z≥90x≥0,y≥0,z≥0.

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Q: Find the values of x Z which minimize 2 N/ 3xy ty and y subject to the constraint 3x-4-1=0

A: Finding Minimum Value Using Lagrange Multipliers Minimize the function f(x, y) = x²/2 - 3xy + y² +…

Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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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: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -26= 0.

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Q: value

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

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

Q: Here is the original LP max z= 3x₁ + 2x₂ s.t. 2x1 + x2 I1+I₂ I1 and the optimal tableau: <100 ≤80…

A: An LP is given and the optimal tableau.The objective is to find:The allowable increase in constraint…

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

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² +…

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

A: Max p=3x+6y+3z+6y+3v subjected to  x+y≤3y+z≤3z+w≤9w+v≤12x≥0, y≥0,z≥0, w≥0,v≥0

Q: Find the extreme values of f(x, y) = subject to the constraint 4x² + y² = 1.

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Q: Maximize p = x-y+z+w subject to x+y+z≤8 y+z+w≤ 8 x+z+w≤9 x+y+ws9 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.

A: Introduction: The vertices are systematically examined as potential solutions using the simplex…

Q: Maximize p = x + y 2y > Subject To: 4 2а + Y 8 And Where: {r > 0, y > 0} y = p = AL VI VI +

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Q: Minimize w=2y₁ + y₂ + 4y3 subject to: with Y₁ + y2 +Y3 2 10 3y₁ + y2 248 Y₁ 20, y2 20, Y3 20. The…

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