Prove that the number of feasible solutions of an LP problem (in canonical form) is either 0, 1, or infinity.

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: The problem constraint arising from labor contracts has the form ax + by Oc, for some values a, b,…

A: A drive-through restaurant requires 7 employees, so if there are x number of drive-through…

Q: 2.3. COVID-19 adversely affected both our health and economic prospects, which in turn affected the…

A: a) Since Covid-19 led to increase in uncertainty by a huge amount, the firms were not ready to make…

Q: Consider the primal problem Max. z = c'x, s. t. Ax <b, x 20. If the dual problem has a feasible…

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Q: Which supplier should be chosen to minimize the total annual cost for the wafers, and what is the…

A: a. EOQ = sqrt((2*annual demand*ordering cost)/holding cost) Total ordering cost = (Annual demand /…

Q: The LP problem has an unbounded feasible region    a.) True b.) False

A: We will find the solution of the Problem using using graphical method (by drawing feasible region).…

Q: Consider the problem min x + 2x + 2x1x2 + X1 – X2 – x3 s.t. x1 +x2 + x3 < 1 X3 < 1 (i) Is the…

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Q: 2. Consider an arbitrary program in standard equation form: maximise c'x subject to Ax = b, x >0 (a)…

A: Given: Let us consider the given  Maximise             cTXSubject to            Ax=b…

Q: 3. Find three positive integers x, y, and z if their sum is 30 and the sum of the square is a…

A: Let the positive integers be x , y &amp; z .

Q: Solve the LP problem. If no optimal unbounded. (Enter EMPTY if the reg Maximize p = x + 2y subject…

A: p=x+2y ---------(1) constraints x+4y&lt;=13 3x+y&lt;=6 x&gt;=0 , y&gt;=0 Lets draw the constraints…

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: Question 29 LP theory states that the optimal solution to any problem will lie at A the central…

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Q: Use Simplex Algorithm to determine the optimal solution of this LP problem. Maximize z = 2x1 − x2 +…

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Q: Assume that the production of 1 unit of magnesium requires 0.5 units of magnesium and 0.6 units of…

A: Given that the production of 1 unit of magnesium requires 0.5 units of magnesium and 0.6 units of…

Q: Suppose a problem is in canonical form and the associated basic feasible solution is degenerate, and…

A: Consider the provided question, We have to describe a new basic feasible solution. In a system,…

Q: Scenario 1: You work as a design engineer in SpaceX which is a space exploration company that…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Question 4- CHOOSE TRUE OR FALSE J/F-Every LP has an optimal solution. T/F-All parameters…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: each

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

Q: Consider a canonical LP problem. If it has an optimal solution, then it has a basic optimal…

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Q: Solve the following inequality graphically in two-dimensional plane: x + y &lt; 5

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Q: 11. Where there is a continuous range of possible outcomes, and each point n that range is as likely…

A: It is an important part of statistics. It is widely used.

Q: Consider an arbitrary program in standard equation form: maximise c™x subject to Ax = b, x > 0 Show…

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Q: Prove the following theorem Theorem: Consider a canonical LP problem. If it has an optimal solution,…

A: consider a canonical LP problem  to prove- if it has opitmal solution then it has basic optimal…

Q: First, find a feasible solution of the following LP problem 4). in standard form. Then, convert the…

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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: If the price ceiling for corn is $2.50, what amount and type of disequilibrium would be present in…

A: Answer is option (c) There would be a shortageof 61000.

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

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Q: Prove that if a canonical LP problem has two optimal solutions then it has an infinite number of…

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Q: Write down the mathematical expressions for: The market-clearing condition when all endowments are…

A: We will write mathematical expression step wise.

Q: Consider the LP problem: Maximize z = 2x1+3x2 subject to 2x1+x2 0. 1. Graph the feasible region for…

A: 1. Given Lp is, Max z=2x1+3x2Subject to,2x1+x2≤4x1+2x2≤5x1,x2≥0

Q: Assume an economy with 3 industries. To produce $1 of the output of industry I requires $0.4 worth…

A: According to the given information, an economy has 3 industries.

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

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

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Q: Solve the following inequality graphically in two-dimensional plane:2x + y ≥ 6

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Q: A company is attempting to choose from among 4 locations for new shopping malls. The first location…

A: Given problem Given that   A company is attempting to choose from among 4 locations for new…

Q: 1. A private telephone company serving a small community makes a profit of *12.00 per subscriber, if…

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

Q: Assume an economy with 3 industries. To produce $1 of the output of industry I requires $0.4 worth…

A: According to the given information, an economy has 3 industries.

Q: 2.6 Convert the original LP problem into LP standard form. maximize ) = -x, + 2x2 - x3 + 3x4 s.t. X1…

A: The given problem is to convert the given original linear programming problem to the standard form…

Q: 3- a) Identify an optimization problem that has feasible solutions but not an optimal solution. b)…

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Q: 2. Consider the quadratic program 1 min xER2 X2 4 X2 X2 1 -1 subject to 1 X2 0 1

A: The complete solutions are given beloe

Q: An economy is based on three sectors: Agriculture, Manufacturing, and Energy. Production of a dolar…

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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: 2. Show that the feasible set constrained by the inequalities x > 0, y > 0, 2x+5y < 3, -3x+8y < -5…

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Q: Families who have pets are classified as having one, two or three pets. Let say that in a given…

A: There are some given information in the above question, the solution is givem below.

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: Solve the following inequality graphically in two-dimensional plane:3y – 5x &lt; 30

A: We first graph 3y-5x=30 using a table  x 0 -6 y 10 0

Q: Find the absolute maxluum of fr.4)=2y bject to the Constraint gixy)= x?ty²=/

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Q: Give the corners of the feasible set and the maximum and minimal value.

A: In any LPP , first write equations  as follows.Now we will plot the three lines of the constraints…

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

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