6)A) Gives an infeasible solution.Determine which of the tableaus, if any:B) Gives an optimal solution.C) Gives a degenerate (and feasible) solution.D) Indicates that the problem is unbounded.Tableau 1CoefficientsBasic Varsx2S18283Const-4 00 -30 211-1x21Tableau 2CoefficientsBasic VarsConstxi x21081 82-1 1-2 | -18311x214183-131Tableau 3CoefficientsBasic VarsX2 s18283 Const1360 -41-110 000x211-10 -2831-11Tableau 4CoefficientsBasic Vars83 | Const0 00 2X2s1S2101-10 |0001111831111

In an LPP, there are many cases for example optimal solution, infeasible solution, unbounded…

Answered: Determine which of the tableaus, if…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Owen is working two summer jobs, making $7 per hour washing cars and making $10 per hour clearing tables. in a given week, he can work, he can work a maximum of 17 total hours. He needs to work at least 5 hours clearing tables. he also must work minimum of 4 hours washing cars and y represents the number of hours clearing tables. a)create inequalities to represent the situation. b)Draw the feasible area. c)determine how many hours he would need to work washing cars and how many hours he would need to clean tables in order to earn the maximum amount of money. d)what is the maximum amount of money he can earn?
Provide an example to refute the statement below:A basic feasible solution of an LP can be represented as a convex combination of two other feasible solutions.
Which of the following statements is/are not correct? *a) Bothb) Neitherc) i onlyd) ii only
3. Solve the system of linear inequalities: 4x + 2y ≥ 8 y - 4> x
E1
Classify the problem below as having multiple optimal solutions, having no feasible solution, or having unbounded objective function. If possible, solve the problem. Maximize Z = 12x1 + x2 Subject to: a) 2x, +x, <6 b) x, 34 c) 3x, +4x, 2 28 d) x, 20 e) x, 20
1.) Using the following model, answer the questions below. Max 5A + 10B t. 2A + 4B ≤ 39 2A + B ≤ 33 A ≥ 12 A, B ≥ 0 b) If the optimal solution is A = 15.5 and B = 2, what is the value of the objective function? The value of objective function is Z=5(15.5) +10(2) =97.5 The value of the objective function is 97.5 Please answer ONLY part C below and please show the work to support your answer. c) Using the optimal solution given in part (b), which of the three constraints are binding? How much slack or surplus do the non-binding ones have? The first constraint is binding. 2A+4B=39 (2)(15.5)+4(2) ≤ 39 31+8≤ 39 40≤ 39 2A+B=33 (Please break this constraint down like the first one) A ≥ 12 (Please break this constraint down like the first one)
Multiple choice: You were given the following mathematical statements: Maximize: 200x +150y; Subject to: x >= 2; 2y <= 6; 3x + 4y <= 10; and non-negativity condition, x >= 0 and y >= 0. Should the solution value for the first, second and third constraint amount to one (1), seven (7), and eleven (11), respectively, does it mean a valid optimal solution can be found? • No• Answer is not given• Cannot be determined• Yes
A pet food wholesaler produces a dog food mixture that is sold to pet retail outlets in bags of 10 pounds each. The food mixture contains turkey and beef. The cost per pound of each of these ingredients is as follows: Ingredient Cost/poundTurkey $2.00Beef $5.50 Each bag must contain at least 5 pounds of turkey. Moreover, the ratio of turkey to beef must be at least 2 to 1. The optimal mixture of the ingredients is: Turkey: __________ pounds (Round your answer to the nearest pound) Beef: ___________ pounds (Round your answer to the nearest pound) The total value of the optimal solution is $________ per bag of dog food. (Round your answer to the nearest dollar)
I need help with D please. Solve the following LP Maximize $4x + $5y Subject to 4x + 5y ≤ 72 6x + 5y ≥ 27 -3x + 8y ≥ 0 x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if the profit per unit of x decreases to $1? c) What is the optimal solution and objective function value if the first constraint changes to 4x + 5y ≤ 80 d) What is the optimal solution and objective function value if the third constraint changes to -3x + 8y ≤ 0?
Identify the basic variables and determine the basic feasible solution for the following tableau. 2 3 0 0 0 16] 5 0 35 0 0 |36 2 0 3 -2 2 1 1 6 -3 2 0 0 3
By how much would the optimal value of z approximately change as a result of a change in the size of the constraint from 7 to 8? Please enter the value below (report up to two decimal places, no fractions): z = 3x2 – xy x - y = 7 s.t. Answer:

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Determine which of the tableaus, if any: 6) A) Gives an infeasible solution. B) Gives an optimal solution. C) Gives a degenerate (and feasible) solution. D) Indicates that the problem is unbounded.