Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

Q: subject 12x+4y 2 72 to the constraint 6x+12y 2 96 x20 y 20

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Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

Q: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

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Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x -y…

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Q: 4. Minimize 375 2x 3y subject to the constraints x2 0, y 2 0 x< 30, y < 25 x+y< 45 (x+y%15.

A: Given the optimization problem,  To minimize 375-2x-3y subject to the constraints x≥0, y≥0x≤30,…

Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

Q: Maximize z = 20x₁ + 10x₂ + x3 Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50 x₁ + x₂ ≤ 10 X₁-x₂ + 4x₂ ≤ 20 X₁, X₂,…

A: The given problem is a linear programming problem with a linear objective function and linear…

Q: Min. Z= 2Y +8X subject to the constraints: x+y < 50 3x + y < 90 x 2 0, y 2 0 O Min. Z = 100 O Min. Z…

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Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

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Q: Write a relevant non negative integer value for *K* such that the problem remains feasible and the…

A: Given: Max Z=4x1+3x2 2x1≥12    (1)x1≥6  2x2≥18   (2)x2≥9 3x1+2x2≥K  3

Q: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

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Q: Problem Min f = r} + 2+3r subject to the constraints 91 = 11 -12- 2r3 < 12 92 = 11+2r2 - 3r3 <8…

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Q: Use the given constraints and optimal solution to state the value of each slack variable. subject to…

A: To use the given constraints and optimal solution to state the value of each slack variable.subject…

Q: Let p be a direction of unboundedness for the constraints Ax = b, x > 0. Prove that –p cannot be a…

A: A direction d is said to be direction of unboundedness for a LPP whose constraints is given by:…

Q: 4. A company manufactures two types of tyres: steel (x) and alloy (y). The revenue functio of the…

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Q: Which of the points to the right are NOT in the feasible region of the following system of…

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Q: 5. Consider the following problem Maximize Z = 2x₁2x₂ + 3x3, subject to -x₁ + x₂ + x3 ≤ 4 2x₁ - x₂ +…

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Q: Find the absolute extrema of f(x, y, z)=x² - y²subject to the constraint x²+2y² +3z² =1. Show all…

A: Given Data: Let us consider the given data, Fx,y,z=x2-y2 subject to the constraints x2+2y2+3z2=1.

Q: y=0- c.x≥-3,yx+5 y=-3x-5 (-5,0)=X+5 X=-3 (-3, 4) (-3, 2 In the figure above, which of the following…

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Q: C(0,6) b. x + 2y ≤ 10 3x + 4y ≤ 24 c. x+2y> 10 3x + 4y ≤ 24 (0,5) d. x + 2y ≤ 10 3x+4v > 24 B(4,3)…

A: A graph of the feasible region and the corner point is given. We have to find the constraints…

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 480 - x - 5y -8z =0

A: Max:  xyz Subjected to constrain: 480-x-5y-8z=0

Q: Find the minimum value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

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Q: Let 11, x2 represent decision variables. Which of the following is a linear constraint? (a) 0.5¤1 +…

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Q: 4. Let x, y, z > 0 be positive variables and let a, b, c > 0 be positive constants. Find the minimum…

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Q: I am working with a 2-D LPP that has four constraints. Below is the region of points that satisfy…

A: The given region of points that satisfies the first three constraints is,

Q: Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is…

A: The given objective function P=xy with the constraint x+y=20

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: What is the shadow price of constraint 3? min z = x₁ + x2- 4x3 s.t. 6 X₁ + x₂ + 2x3 59 ks 52 -X1 X₂…

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Q: max Z = x1 + 3x2 + 5x3 4.x1 + 3x2 + 6x3 0 Say we use x4, X5 as slack variables for the first and…

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