Marks)Consider the following optimization problem Minimize z = x1 + 3x2 subject to 3x1 − 2x2 ≤ b1 x1 + 3x2 = 2 x1, x2 ≥ 0 (a) Solve the linear program graphically for b1 = 2. (B)Deduce the relationship between the change in b1 to the change in objective value? (C) By adjusting b1, determine graphically the range of b1 for which the solution stays feasible.

Q: a)Would profit be maximized if the objective function y=50x+40xM+20x, was assumed (under the same…

A: Linear Programming Problem LPP in operations research is used to obtain the optimum value (i.e., it…

Q: B/ solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

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Q: Consider this linear program: Maximise {x}, subject to the constraints: -x +ys1 x +y<4 x-ys2 X 20…

A: We have the following optimization problem :- Maximize: x constraints : -x+y ≤ 4 x+y ≤ 4 x-y ≤ 2 x,y…

Q: You are given the ILP model below: Мaximize Z = -3x1 + 5x2, subject to 5x1 – 7x2 > 3 and X; < 3 X; 2…

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Q: Consider the following mathematical program: Min: Z(x) = 12x₁ + 10 x2 a. s.t. X₁ + X₁ + 2x₁ + X1 2x2…

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Q: What is the value of the Objective Function given Z= 3X1+ 4X2, X1=2 and X2=1?

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Q: Valencia Products make automobile radar detectors and assembles two models: LaserStop and…

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Q: Of the following options for the objective function, which is correct for this LP? O O min z = 24…

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Q: Consider the following Linear Program: max 2x1 + 3x2 +4x3 (1) (2) s.t. X1 + x2 +x3 < 50 X1 + x2 + x3…

A: Given linear programming problem is max    2x1 +3x2 +4x3s.t.   x1 +x2 +x3 ≤50               1…

Q: How much can the objective function coefficient for X2 decrease by? What is the shadow price for…

A: Objective function: and optimal solution at .Therefore, decision variable is  andunit profit are 5…

Q: Consider the following optimization problem: Prime Paints manufactures two types of paints, one for…

A: We will construct a linear programming problem according to the given conditions. Let x ton and y…

Q: Max 2x1 +8x2 s.t. 3x1 +9x2 < 45 2x1 + 1x2 ≥ 12 X1, X₂ 20

A: The given LPP is:                                            Max    2x1+8x2s.t.…

Q: The following model represents an optimization problem. Determine the maximum solution. Objective…

A: Given: The objective function is       Q=3y+2x Subject to the constraints:     x≥0y≥0x+3y≥12x+2y≤10…

Q: Pavan

A: Steps to solve:Convert inequalities to equalities to find corner points.Solve for corner points…

Q: = Use graphical methods to solve this linear programming problem. Maximize subject to: OA. The…

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Q: maximize subject to 18x₁ +12.5x2 X1 X1 + X1, X2 X2 x2 0.

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Q: Solve the following linear programming model by the Simplex Method: Maximum (Z) = 3X1 + 5X2…

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Q: Consider this linear program: Maximise {x}, subject to the constraints:

A: Let           Max(Z)=x  Sunbject to constraints:              -x+y≤1                  x+y≤4…

Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: Determine if the following objective function f(x) = 2x} + x} + xịx} + 4x,x2 + 3 has local minima or…

A: Let x1=x and x2=y ⇒f(x,y)=2x3+y2+x2y2+4xy+3⇒∂f∂x=6x2+2xy2+4y⇒∂f∂y=2y+2x2y+4x For Critical Points,…

Q: A company produces two types of solar panels per year. x thousand of type A and y thousand of type…

A: Using partial derivatives and optimality conditions.

Q: For the linear program Max 2A + 3B 1A+2B < 6 5A+3B 15 A, B ≥ 0 find the optimal solution using…

A: Given:For the linear programMax :2A + 3BSub to,1A+2B &lt; 65A+3B &lt;15A, B ≥ 0To find:The optimal…

Q: Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both…

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Q: . Determine the solution to the following function: Maximize 2xy subject to 4x + 2y = 200 b.…

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