1. Obtain the initial basic feasible solution to the following transportation problem using north west corner rule D1 D2 D3 D4 SUPPLY 14 01 02 03 4 1 5 7 16 4 3 6. 2 5 10 Where O1, 02, O3, 04 are the origins and D1, D2, D3, D4 are requirements DEMAND 15 4 respectively

Q: 1. Obtain the initial basic feasible solution to the following transportation problem using north…

A: We have the initial table as, We have Total supply = 14 + 16 + 5 = 35 and Total demand = 6 + 10 +…

Q: Consider the following linear program. Max 14 + 28 s.t. 14 18 24 + 28 = 10 A, B2 0 (a) Show the…

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Q: In each of the following problems check whether the solution is balanced or not then use the North…

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Q: 2. identify the feasible region and optimal solution for the linear program max z =2x1 + 3x2 s.t 1x1…

A: To identify the feasible region

Q: For the given unbounded feasible region, the optimal solution of minimizing z-2x+5y is (o, 6) (1. 4)…

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Q: Consider the following problem: 2x max z = 120 - 8x? - 2y? + 5xy +T+y s.t. 6x + 8y s 77 (1) 5x – 2y…

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Q: Two Godowns A and B have grain capacity of 100tons and 50 tons respectively. They supply to 3 ration…

A: Introduction - A system of linear equations consists of two or more linear equations made up of two…

Q: 4. Given the LP model Maximize Z =10 x1 +15x2 +20x3 Subject to 2 x1+4 x2+6 x3524 3 x1+9 x2+6 x3530…

A: To Determine :-  a. The range of objective function coefficient c2 of variable x2 such that the…

Q: 3. Given any basic feasible solution to a LPP (where the objective is to minimize the objective…

A: We will use basic knowledge of linear programming and optimization theory to answer this question.

Q: Here is the original LP max z = 3x1 + 2x2 < 100 < 80 < 40 s.t. 2x1 + ¤2 2i + x2 and the optimal…

A: Ans1: There is no allowable increase to constraint 2. This is because the value is 80. Ans 2:There…

Q: Determine an initial basic feasible solution to the given transportation problems using North-West…

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Q: Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 5x1 + 5x2 < 32 9x1 + 3x2 < 38…

A: We are given an integer programming problem. Max 5x1 + 8x2s.t.5x1 + 5x2 ≤ 329x1 + 3x2 ≤ 38x1 + 2x2 ≤…

Q: 2. Find the dual of the LP problem given below Z max = 4x1 + 2x2 + 5x3 Constraints: X1+ x2 2 2 3x1 +…

A: Given Primal LPP is, Z max =4x1+2x2+5x3 Subject to, x1+x2≥23x1+x2-x3≤125x1+2x2+3x3≤15x1,x2,x3≥0

Q: 6. Consider the following problem: max z = 2x1 + x2 s.t. x2 0. Construct the dual problem. Use the…

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Q: 10. Use Lagrange multipliers to find the maximum and minimum values of f (when they exist) subject…

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Q: IV. Solve the given transportation problem by using the following method below. To From H Supply PI…

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Q: Consider the following maximization problem. Maximize P = 8x1 + x2 – 9x3 subject to the constraints…

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Q: 14. The simplex tableau for a maximization problem of LP is given as follows: Product Mix 4 5…

A: We will answer the first three subparts as per our guideline. Please resubmit the other parts…

Q: Consider the following linear program : z = 6x1 + 6x2 + 10x3 → min s.t. 4x1 + 3x2 + 2x3 ≥ 16 x1 +…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P  ≥ 0 1.Which of the…

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Q: Solve the following LPP graphically using ISO- profit method. maximize Z =100 + 100y Subject to the…

A: to solve the LPP first plot the inequalities on the graph and mark the feasible region. The first…

Q: 7. Use Lagrange multipliers to find the extreme values of the function f(x, y) = xy subject to the…

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Q: Consider the following linear program: Min Z = 2*x + 3*y subject to 3*x + 4*y> 12 3*x + 2*y29 ys1 X,…

A: Liner programming problem

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical Pand r…

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Q: (2x,+3 x s6 Consider the LPP, Max. z=2 x, +5 x2, s. t. X, +X224 We added slack variable x3 to…

A: The given LPP is, Max Z=2x1+5x2s.t 2x1+3x2≤6x1+x2≥4

Q: 2 Find the optimal solution to the following madhah problem max z Ax +B x2 A=6 s.t. 2x, + 4x2 s 12,…

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Q: Find the amount of capital (K) and labour (L) that should be employed to maximize output (q) given…

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Q: Find the initial basic feasible solution of the following transportation problem by The Least Cost…

A: Given problem table is In the given problem, total number of supply constraints is 3 and total…

Q: Q2) A company manufactures two products XI and X2 on three machines A, B, and C. XI require 1 hour…

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Q: Consider the following problem: Maximize W(x,y) = 2ln(x) + c.ln(y) subject to the constraints: x ≥…

A: Given problem is maximize  Wx, y=2 lnx +c·lnysubject to,x+y≤152x+y≤20x, y≥0

Q: 6. Solve the following Transportation Problem: DI D₂ D3 D4 S1 11 36 43 23 S2 60 35 51 S3 20 12 48 72…

A: The following steps are used to obtain the optimal solution of the transportation problem. To…

Q: 4. Consider the feasible region below. 12 (4, 10) 10 (0, 8) 80 (8, 6) 6 4 |(10, 2) (0, 2) 2 6 8 10…

A: 4. Observe the feasible region.

Q: Consider a market with five quantity-setting firms called 1, 2, 3, 4, and 5. The firms face a market…

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Q: pply the Vogel’s Approximation Method to obtain the initial transportation schedule and hence…

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer the…

Q: Consider the following maximization problem. Maximize P = 12x + y – 13z subject to the constraints…

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Q: Given the utility function: Max U = xy? subject to x + y 0. i) Write the Lagrangian function. ii)…

A: The given utility function is: Max U=xy2Subject to:x+y≤1002x+y≤120x,y&gt;0 (1). The given…

Q: Use North West Corner Method to Find initial feasible solution for the following transportation…

A: In the given problem,  Number of supply constraints : 3Number of demand constraints : 3Problem Table…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A: Consider the given information.

Q: Can someone help me find the questions listed in the screenshot.  By using the NorthWest Method and…

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Q: 14) Consider the following linear programming problem. x - 2z s 10 x+y + 6z s 80 x2 0, y 2 0, z 2 0.…

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Q: 4.1. #6 Complete the initial simplex table.

A: We have to fill the table

Q: 7.) Use Lagrange multipliers to find the maximum and minimum values of the function subject to the…

A: We have to find the maximum and minimum value of function f(x, y, z) = 2x +2y+z With constraint…

Q: Consider the following maximization problem and select the correct number of slack variables…

A: For convenience, we take x=x1, y=x2, x=x3 and P=Z.

Q: min     x1 +  x2 s.t.   3x1 + 2x2 ≥ 36        3x1 + 4x2 ≥ 48         x1, x2 ≥ 0 For the LP…

A: Given LP problem is Min z=x1+x2 Subject to 3x1+2x2≥363x1+4x2≥48 And x2,x2≥0 Solving the given LPP by…

Q: Consider the following linear program : z = 6x1 + 6x2 + 10x3 → min s.t. 4x1 + 3x2 + 2x3 ≥ 16 x1 +…

A: (a) First find primal to dual of LPP :  Primal is (Solution steps of Primal by BigM method)  MIN Zx…

Q: 4. Regarding the labor-leisure trade off. Assume Sue Ellen Walton has the utility function U(C,L) =…

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Q: a) Consider the following LP problem. Maximize z = 2x, +x2 subject to 4x, + 3x2 S 12 4x, + x2 5 8…

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