Solve the following LPP by graphical method : Maximize Z = 22x1 + 18x2 Subject to constraints: 960x1 + 640x2 ≤ 15360 x1 + x2 ≤ 20 and x1 , x2 ≥ 0

Q: Consider the following linear program:            Max Z = -4x1 + 2x2 Subject To: -2x1 + 2x2 ≤ 7…

A: We have: Max Z=-4x1+2x2Subject to-2x1+2x2≤7x1≥2x1-4x2≤02x1+2x2≥10x1, x2≥0 Part(a) If the constraint…

Q: With reference to a transportation problem define the following terms: c) Optimal solution d)…

A: Optimal solution: A feasible solution which optimize ( maximum or minimum) the objective is called a…

Q: Solve the following LPP using the simplex / Big M Method Maximize Z= 6X1+8X2 Subject to constraints…

A: We have to find solution by Simplex Method of given LPP.

Q: use the Lagran ge Multiplier Method to find the estreme values of the given function Subject to the…

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Q: Maximize 97+x2+xy−5y2​,subject to the constraint −10−x−4y=0.   The maximum value of 97+x2+xy−5y2…

A: To Determine :-  The maximum value of  97 +x2 + xy -5y2 subject to the constraint -10 -x -4y =0

Q: Given the following objective function: U(x,y)=x^2+y^2 and the following constraint: 280=7*x+10*y,…

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Q: Minimize  C = 7x + 8y subject to 2X + 3y > 26 3X + y > 18 X >0, y>0   Graph the feasible set of…

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Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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Q: Solve the following linear programming problem by graphing: Minimize c = 3x + 2y 2y 2 Subject To:…

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Q: Given the following constraints, which of the following is a feasible solution? 10X + 6Y 1 5X + 2Y…

A: Given constraints are  10X+6Y≤1 5X+2Y≥-1   To Find: which of the given is a feasible solution.

Q: Solve the following LP problem by using the graphical procedure and by using Excel: Minimize cost =…

A: Linear Programing is a mathematical technique to optimize given constrains.

Q: Solve by the Big M – method: Maximize Ζ = x1 + 2x2 + 3x3 − x4 Subject to x1 + 2x2 + 3x3 = 15 2x1 +…

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Q: Write the dual problem of the following minimum problem. Minimize C= 3x1 + 4x2 subject to the…

A: We use the definition of conversion from primal to dual to solve this problem.

Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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Q: Consider the following feasible set, shaded in blue. What is the minimum value of the function – (8x…

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Q: By using Gauss-Jordan method, the solution of set following above equations will be 2x1 – 4x2 + 6x3…

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Q: Solve the following system of linear inequality by Mixed Cut Method Maximum Z = x1 + x2 Subject to…

A: It is required to solve the given linear programing problem: Maximum Z = x1 + x2Subject to 0x1 + 2x2…

Q: Given the following 2 constraints, which solution is a feasible solution for a minimization problem?…

A: Given constraints: 14x1+6x2≥24x1+3x2≥6 Solution: We shall solve the given constraints using graph to…

Q: Determine the feasible space for each of the following independent constraints. (a) -3x1 + x2 S 6.…

A: Both constraints will be represented on the graph to show the feasible region

Q: Solve the following linear programming problem. Minimize z=13x+9y subject to: 3x+4y>21…

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Q: Graph the system of inequalities from the given problem, and list the corner points of the feasible…

A: Given that,  3x1+7x2≤42x1+2x2≤13x1,x2≥0 To list the corner points of the feasible region.  The…

Q: identify the feasible region for the following set of constraints: 3x1 – 2x2 > 0 2 x1 – 1 x2 0

A: We have to identify the feasible region for the following set of constraints:…

Q: Solve the following Integer Programming problem Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35…

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Q: Consider the following linear program. Min Z = 3 * x 1 + 4 * x 2 S.t. 1* x 1 + 3 * x 2 >= 6 1* x 1 +…

A: The given linear programming problem is, Min Z=3x1+4x2S.t.x1+3x2≥6x1+x2≥4x1,x2≥0

Q: Consider the following L.P. Problem: Max.Xo= 3 x1 +12 x2 Subject to: 2x1 + X2 ≤12 3x1 + 4X2 ≥ 21…

A: The given LPP is            Max   X0=3x1+12x2 subject to:           2x1+x2≤123x1+4x2≥21x1≥3x1≥0,…

Q: Given the following LP, which of the following dual constraints corresponds to X1? - 3x2 Maximize…

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Q: LPP by the graphical method. minimize 20x1+10x2 subject to x1 + 2x2 ≤40, 3x1 + x2 ≥30, 4x1 + 3x2…

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Q: Graph the feasible reglon. -x + y s 0 X S 5 y 2 -6

A: given -x+y≤0                x≤5                y≥-6      we have to graph the feasible region and…

Q: Consider the following feasible set, shaded in blue. What is the minimum value of the function – (8x…

A: Solution :-

Q: Consider the following LP problem: max 4x₁ + 3x2, subject to 3x₁ + x₂ ≤9, 3x₁ + 2x₂ ≤ 10, x₁ + x₂ ≤…

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Q: Solve the following LP problem. Use the M-method to handle artificial variables. Minimize 4x1 + x2…

A: Given that Minimize 4x1+x2 Subject to  3x1+x2=34x1+3x2≥6  x1+2x2≤4        x1,x2≥0

Q: Solve the following LPP using Big M Method Problem -1 Minimize Z = 7x1 + 15x2 + 20x3 Subject to…

A: The big m method is a modified version of the simplex method in linear programming (LP) in which we…

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: Consider the following set of constraints: I + 2x2 + 2x3 + 4xg 5 40 2x1 - x2 + X + 2x4 s 8 41, - 2x,…

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

Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: Need to find the point at which the given objective function has least value

Q: Consider the following problem: Maximize 10x, + 24x2 + 20x3 + 20x4 + 25x5 St. X1 + x2 + 2x3+ 3x4 +…

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Q: Find the values of x1 and x2 where the following two constraints intersect. (Round your answers to 3…

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Q: Solve the following LP graphically: maximize 13x1 + 23x2 subjected to 5x1 + 15x2 0.

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Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: Use the KKT conditions to solve the following problem:      Min Z(X1 , X2) = 4(X1 -2)2 + 3(X2 – 4)3…

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Q: 4. Consider the following set of constraints : X1 + 2x2 + 2x3 + 4x4 0 Solve the problem for…

A: Given Max Z=2x1+x2-3x3+5x4subject to constrints x1+2x2+2x3+4x4≤402x1-x2+x3+2x4≤8 4x1-2x2+x3-x4≤10…

Q: Suppose the following graphical representation of feasible solutions and direction of increasing of…

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Q: Consider the following set of constraints: x1 + 2x2 + 2rz + 4x4 < 40 2x1 - x2 + X3 + 2x4 < 8 | 4x1 –…

A: Solving the problem for values

Q: • Consider the following LP: maximize 2x1+ 5x2 s.t. -x1 + 2x2 < 5 2x1 + 3x2 < 12 X1 + x2 2 -1 X1, X2…

A: We are given the following LPP problem : maximize 2x1 + 5x2 s.t. -x1 + 2x2 ≤ 5 2x1 + 3x2 ≤ 12 x1 +…

Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Consider the following optimization problem: max       x1 + 2x2              -x1 + x2 >= -4…

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Q: Consider the feasible set in the figure on the right, where three of the boundary lines are labeled…

A: We have give a feasible set in the figure. we have to find the least value of the point in given…

Q: Solve the following Linear Programming problem using graphical solution method: Minimize Z = 3X1 +…

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