min     x1 +  x2 s.t.   3x1 + 2x2 ≥ 36        3x1 + 4x2 ≥ 48         x1, x2 ≥ 0 For the LP problem above, which are the binding constraints?            3x1 + 2x2 ≥ 36     3x1 + 4x2 ≥ 48     x1 ≥ 0     x2 ≥ 0

Q: Identify the feasible region for the following set of constraints: 2A - 1B ≤ 0 -1A + 1.5B ≤ 200…

A: The graph of region corresponding to the inequality 2A-B≤0 is the region above the line 2A=B. The…

Q: Calculate the minimum value of: fx) = x,' + x,° +x, subjected to the following constraints: 2x, +x,…

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Q: Question 12 Since Mack cannot make a negative number of necklaces or wristbands, what are addi-…

A: Total time= 360 minutes Time taken to make necklace= 40 minutes Time taken to make wristband= 25…

Q: Consider the following mixed-integer linear program: Max 1x₁ + 1x2 s.t. 7x₁ + 9x₂ ≤ 63 9x1 + 5x₂ ≤…

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Q: The Green Company manufactures an electric motorcycle, which it sells through two of its…

A: The demand of motor cycle by store A is 30 to 40 unit (inclusive). The demand of motor cycle by…

Q: The Green Company manufactures an electric motorcycle, which it sells through two of its…

A: Given problem is  : The Green Company manufactures an electric motorcycle, which it sells through…

Q: 9. Identify the feasible region for the following set of constraints: ЗА — 2B > 0 2A – 1B 0

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Q: i. What is the optimal solution if es (coefficient of x) is increased to 6? ii. How much increase or…

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Q: The number of constraints in each of the following hypotheses is (1) B1 + B2 = B3 = B4 (ii) Bz and…

A: The constraints are nothing but the total number of equations involved in the given hypothesis.…

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: For the given feasible region, the optimal minimum value of the objective function z=5x+3y is at…

A: Graph of  Z=5x+3y for constant Z will be:

Q: Suppose there are two goods, good X and good Y . Both goods are available in arbitrary non-negative…

A: Given data  w=t= 10 P^x =t^y = 2 P^y=t^x=1

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: each

A: Given that : A and B - Air-conditioners Time period to finish A = 2 hours Packing time = 1 hour Time…

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: Use the simplex method to find the optimal solution to the following LP. maximize Z = 5x + x2 2 x1 +…

A: The given LPP is Max Z = 5 x1 + x2 subject to: 2 x1 + x2 ≤ 6 x1 - x2 = 0 and x1,x2≥0

Q: Solve the given linear programming problems by simplex method: 1. Maximize: Z = 8x + y and the…

A: AS PER BARTLEBY GUIDELINES, WE ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS ARE…

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: Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning…

A: Please see the attachment

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: 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: 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…

A:

Q: Consider the following linear programming problem: 10X +30Y X+2Y S 80 8X+16Y S640 Maximize Subject…

A: Maximize: 10X+30YSubject to: X+2Y≤80                  8X+16Y≤640                   4X+2Y≥100 To…

Q: Podunk Institute of Technology's Math Department offers two courses: Finite Math and Applied…

A: Let's find.

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: 3. Minimize: Z = 20x + 10y and the constraints are: x + 2y s 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0, y…

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

Q: 2. Consider the following linear programming problem: X + 2x, X +x, <3 X1 - 2x, 20 Max st. a.…

A: Given Max    x1+2x2s.t      x1+x2≤3          x1-2x2≥0          x2≤1         x1,x2≥0

Q: 7. Obtain the dual of the LP problem : z= xỊ + x2 + X3. Subject to the constraints: XI – 3x2 + 4x3 =…

A:

Q: Consider the following Linear Programming (LP) problem. max z = 2r1 + x2 - 3r3 + 5x4 T + 2r2…

A: Given: Linear Programming Problem: To find the optimal basis.

Q: 2. Consider the following set of constraints: x, + 2x, + 2x, 2x, - x, + x, + 2x, 5 8 4x, - 2x, + x,…

A: (a) After introducing slack variables we have Max Z = 3x1-x2+3x3+4x4+0S1+0S2+0S3subjected…

Q: Number 40

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Q: 피1+ rz 0

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Q: Consider the following figure. Figure 1: (0,6) Feasible region (0,0) (4,0) x₁ i) Write down…

A: Optimal solution of a LPP is the feasible solution where the objective function attain it's optimal…

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

A:

Q: Consider the following LP: Minimize z = 4x, + x2 subject to 3x, + x = 30 4x, + 3x, 2 60 X + 2x2 s 40…

A: Introduce slack, surplus, artificial variables: Min z=4x1+x2+0S1+0S2+MA1+MA2 subject to…

Q: 10) Consider the following linear programming problem Мax 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X…

A: Solution : Given that ,                                        Max   8X+7Ys.t.   15X+5Y≤75…

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

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Q: 4. Minimize: Z 5x + 4y and the constraints are : %3D 4x + y 2 40; 2x + 3y 2 90 and х, у 2 0

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Q: 1. Suppose you own a toy company... Toy airplanes sell for $8.00 and toy cats sell for $4.10.…

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

A: We have to fill the table

Q: The number of constraints in each of the following hypotheses is (1) B1 + B2 = B3 = Ba B1 B2 (ii) =…

A: Given Information: Consider the given hypotheses:     i β1+β2=β3=β4ii β1β2=β3 and β4=1iii β1=1 and…

Q: A manufacturer can sell product 1 at a profit of $2/unit and product 2 at a profit of $5/unit. Three…

A: GIVEN; product 1 at profit $2/unit product 2 at profit $5/unit 3 units of raw material to…

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: QUESTION 15 Calculate the minimum value of 8x + 6y subject to the following constraints: x + y2 24 x…

A: To find- Calculate the minimum value of 8x + 6y subject to the following constraints: x + y ≥ 24x +…

Q: X2 X1 b) x, 2 x, ; - x, + 2.x, 2 2 a) x, 2 2x,; - x, +2.x, <2 c) x, Sx,; -x, +2x, 2 2 d) x, <x,; -…

A: Consider the figure given below :

Q: In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing the…

A: Given information:The ratio of optimal crit rate to crit damage y is found by maximising  the…

Q: The optimal solution of this linear programming problem is at the intersection of constraints 1 and…

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Q: Max 5x1 + 8x2       s.t.     5x1 + 6x2 ≤ 32   10x1 + 5x2 ≤ 46   x1 + 2x2 ≤ 10  x1, x2 ≥ 0 and…

A: