1. Explain the important practical implications of the duality theory (i.e. why duality is important?).
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A: We have to choose correct options.
Q: In the initial simplex table, all slack variables are non-basic variables. 0 صواب İhi
A: Slack variable:A variable added to the problem to eliminate less-than constraints.
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Q: Express Constraint 1 to mathematical statement. 0.8x1 + 0.2x2 + 0.2x3 + 0.2x4 = 0 0.8x1 - 0.2x2 -…
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Q: Q5 a. Estimate the equlibrium price and quantity of the market whose demand and supply functions…
A: a) For equilibrium, we set the supply and demand functions equal and solve for q. Quantity (q) can…
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A: The complete solution is in given below
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A: (24) We have, x2+y2=16 Let us consider that, x=4sinθy=4cosθ Therefore,…
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Q: Consider the relations given below: xRy:x loves y xRy:x2y iii. xRy:x is in the same classroom with y…
A: If x = y and y = x then we can say that relation is symmetric relation.
Q: Construct the dual
A: Given problem is max z = -x1 +x2s.t. 2x1 +2x2 ≤ 10 x1 + x2 ≥ -2 x1…
Q: 1. Convert the constraint inequalities 3x + 5y < 15 and 3x + 6y < 20 to equations containing slack…
A: Slack variable is a variable that is added to an inequality constraints to transform it into an…
Q: Locate and classify the critical points of the following 3. y = -2x3 + 6x2 – 48x + 45 4. у %3D х3 +…
A: To find and classify the critical points
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A: As per our guidelines,we are allowed to answer first question only. Thanks 4) Here the model is in…
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Q: Express Constraint 2 to mathematical statement. -0.7x1 + 0.3x2 - 0.7x3 – 0.7x4 = 0 O -0.3x1 + 0.7x2…
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Q: Give an example of a mathematical object that satisfies the described proper- ties or explain why…
A: Determinant
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Q: 4. Write the standard primal and dual for each of the following problems: (a) Minimum z = 5x1 – 3x2…
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Q: 2. Find the absolute maximum and minimum of f(xx) = xX subject to the constraint g(xx) = x2 + 8y2 =…
A: We use langrange multiplier method
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A: To explain, Conditions that must hold for an inconsistent system and methods to verify it.
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Q: Consider the problem minimize f(x, y) = 2y – x² subject to x + y² < 1, x 2 0, y 2 0.
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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
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A: We need to check constraint qualification.
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A: We have to check whether given statement is true or not.
Q: Is the relation aRb → ab < 0 an equivalence relation on the set Z? Justify your answer.
A: Given a relation, aRb⇔ab≤0. To check whether R is an equivalence relation on set ℤ. A relation is an…
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: Determine the next pivot element for the tableau. M y - 8 u V 1 1 ol 24 이-101 - 8 - 5 1 1 1
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Q: What are Equality Constraints?
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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…
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- I would like to please get clarification on a point in Linear Algebra. The following question says that A = LU is only possible if no pivots are 0....Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is used to eliminate x rather than y.Express constraint 3 to mathematical statement.
- A grocery store is holding a 10% discount promo for purchasing all items without certain conditions. Dona, Dini and Dina shop at the store. Dona y 2 kg of cooking oil, 5 kg of rice, and 2 kg of eggs, must pay IDR 133,200.00. Then Dini, who bought 1 kg of cooking oil, 3 kg of rice and 2 kg of eggs, had to pay IDR 97,200.00. Meanwhile, Dina, who bought 2 kg of cooking oil, 4 kg of rice and 1 kg of eggs, also had to pay eggs before the discount! IDR 97,200.00. Determine the price of 1 kg of cooking oil plus 1 kg of rice plus 1 kg of.. A. IDR 50,000.00 B. IDR 52,000.00 C. IDR 54,000.00 D. IDR 56,000.00 Please with an explanation! E. IDR 58,000.00Write down the mathematical expressions for: The market-clearing condition when all endowments are owned by a private-sector individual and that an allocation (x, y) must be feasible in a world with private-endowment, but NO production.22-no additional information for the problem is provided other than what is attached
- What is the fifth constraint?Suppose a farmer wishes to evaluate a new fertilizer. She uses the new fertilizer on one field of crops (A), while using her current fertilizer on another field of crops (B). The irrigation system on field A has recently been repaired and provides adequate water to all of the crops, while the system on field B will not be repaired until next season. She concludes that the new fertilizer is far superior. Is the farmer's conclusion valid? Why or why not?(9)A restricted variable in the LP- Model, is the variable whose value may be ……(a) +ve (b) – ve (c) both a and b (c) neither (10) An unrestricted primal variable will result (for dual form)………(a) greater inequality (b)equality (c)less inequality (d) neither 11)The rules for selecting the entering and leaving variables does not refer as conditions for(a) non-optimality (b) equality (c) less inequality (d) neither (12) If primal constraint variable is originally in greater form, the corresponding dual variables must be(a) zero (b) negative (c) positive (d) unrestricted
- This question from System Identification: Theory for the user - Lennart Ljung Book please do as much as you can, dont reject please answer asapIn recent years, the United States and Japan have engaged in intense negotiations regarding restrictions on trade between the two countries. One of the claims made repeatedly by U.S. officials is that many Japanese manufacturers price their goods higher in Japan than in the United States, in effect subsidizing low prices in the United States by extremely high prices in Japan. According to the U.S. argument, Japan accomplishes this by keeping competitive U.S. goods from reaching the Japanese marketplace. Automobile Retail Prices (thousands of dollars) USA Sales: 18.2 16.2 17.2 18.7 18.4 16.6 14.9 16.8 12.1 10.8 18.5 15.5 16.2 16.3 18.2 19.5 13.2 16.8 12.9 17.2 18.2 16.3 16.8 16.4 18.6 15.6 17.1 18.1 18.9 19.0 17.3 18.8 14.9 16.7 20.3 17.1 14.6 17.2 13.0 18.4 16.9 13.3 16.3 15.9 16.6 17.6 16.0 17.1 14.6 18.0 Japan Sales:…In recent years, the United States and Japan have engaged in intense negotiations regarding restrictions on trade between the two countries. One of the claims made repeatedly by U.S. officials is that many Japanese manufacturers price their goods higher in Japan than in the United States, in effect subsidizing low prices in the United States by extremely high prices in Japan. According to the U.S. argument, Japan accomplishes this by keeping competitive U.S. goods from reaching the Japanese marketplace. Automobile Retail Prices (thousands of dollars) USA Sales: 18.2 16.2 17.2 18.7 18.4 16.6 14.9 16.8 12.1 10.8 18.5 15.5 16.2 16.3 18.2 19.5 13.2 16.8 12.9 17.2 18.2 16.3 16.8 16.4 18.6 15.6 17.1 18.1 18.9 19.0 17.3 18.8 14.9 16.7 20.3 17.1 14.6 17.2 13.0 18.4 16.9 13.3 16.3 15.9 16.6 17.6 16.0 17.1 14.6 18.0 Japan Sales:…