Construct the dual of this LP and solve it using the Simplex method. 60x1 2x1 3x1 5x1 + 20x2 + 10x3 + X2 + X3 + X2 + X3 + X2 X1, X2, X3 ≥ 0 values in the final, optimal tableau for the dual, answer the questions, which all relate to the original, primal problem (above). D: ≥ 15 > 22 ≥ 30 IV
Q: Minimize f = 7x + 9y subject to the following constraints. x 25 y s 19 2 X= y = f= -x+y z Need Help?…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: In the problem on excel : 1.What are the decision variables 2.What is the objective functions 3.…
A:
Q: STAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper…
A: Decision Variables: Suppose-xj= No. of 100 foot wide rolls using cutting pattern j, where…
Q: Dickie Hustler has $2 and is going to toss an unfair coin(probability .4 of heads) three times.…
A:
Q: (b) Indicate whether the following linear program is an all-integer linear program or a…
A: Find the given details below:Objective Functions and Constraints:Based on the given details, the…
Q: If constraint has a shadow price of $6, Right-Hand-Side (RHS) is 12, allowable increase is 2,…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Find a solution using the Simplex method (BigM method) MIN Z = 5x1 + 3x2 subject to 3x1 + x2 = 3 4x1…
A: Given LP-Min Z = 5x1 + 3x2Subject to-3x1 + x2 = 34x1 + 3x2 ≥ 6x1 + 2x2 ≤ 4x1, x2≥0
Q: Suppose we are solving a maximization problem andthe variable xr is about to leave the basis.a What…
A:
Q: Consider the following Pareto maximization problem with decision variables x and y: vmax (x2 + x, -…
A: VMax ( x^2 + x , -2y ) Now, (x) is Positive, hence its value must be as higher as much possible to…
Q: Elaborate/ Explain Integer Linear Optimization and put examples
A: Integer linear optimization is a version of linear programming where the condition is that all or a…
Q: Suppose Box I contains five red balls and two white ones while Box II contains one red and four…
A: Probability is the branch of mathematics that deals with the likelihood of events happening. It's a…
Q: A, What is the linear programming model for this problem? Decision Variables: LP Model:
A: Hello thank you for the question. As per guidelines, we would provide only one answer at a time.…
Q: Max 3x, + 1lx, + 5x, + 3x4 s.t. = 30 3x, + lx, + 2x, 2x, + lx, + 3x, + 1x 15 %3D 2x2 + 3x, <25 X1,…
A:
Q: Player A and B play a game in which each has three coins, a 5p, 10p and a 20p. Each selects a coin…
A: Let's get a matrix with different situations
Q: In the game shown below, Player 1 can move Up or Down, and Player 2 can move Left or Right. The…
A: Given data: Player 2 Player 1 Left Right Up 3, 2 2, 3 Down 0,9 1, 1
Q: TRUE OR FALSE In the simplex minimization method, optimality is signaled by the presence of all…
A: In the optimal simplex table, cj-zj=0 value indicates an Alternative solution
Q: Write in normal form and solve by the simplex method, assuming x, to be nonnegative. 1. The owner of…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Which of the following is true? a)The maximin criterion is an approach in Optimization under…
A: The Maximin criterion is an approach in optimization under uncertainty which finds a solution with…
Q: a. What is the efficient outcome? b. If there are negotiation costs of $150, what activities will…
A: In this scenario, Kenya and Dionne have adjacent plots of land with different potential uses, and…
Q: A survey was conducted to 12 first time voters on their preferred candidate. The results are: BBM,…
A: The First question is related to Plurality Method. As per this method only first choice votes are…
Q: In problems involving maximization and minimization, what is the objective function? States…
A: The objective function in problems involving maximization and minimization is a mathematical…
Q: 2(a) The tableau is not optimal for either maximization or a minimization problem. Thus, when a…
A: The given tableau- Basic X1 X2 X3 X4 X5 X6 X7 X8 Solution Z 0 -5 0 4 -1 -10 0 0 620 X8 0 3 0…
Q: Determine the pivot element in the simplex tableau. (If there is more than one correct pivot…
A:
Q: Indicate which of the following is an all-integer linear program and which is a mixed-integer linear…
A: Objective Functions: Max 70x1 + 65 x2 Constraints: Subject to 9x1 + 4.5 x2 ≤ 400 5…
Q: Max 3x, + lx, + 5x3 + 3x4 s.t. 3x, + lx, + 2x3 2x, + lx, + 3x, + 1x 15 2x2 = 30 I| + 3x, <25 X1, X2,…
A: Objective Function: Max Z = 3x1 + 1x2 + 5x3 + 3x4 Constraints: Subject to 3x1 + 1x2…
Q: Which of the following is a common reason for the failure of quality initiatives? O Companies don't…
A: Quality management is the act of controlling all procedures and duties necessary to uphold a desired…
Q: For the remaining questions, consider the following problem description: An oil company is…
A: This question belongs to the field of Operations Research, particularly in the area of optimization…
Q: A monorail shuttle is being planned between the airport and downtown. Find the break-even fare to…
A: Given, Fixed cost = $10,000,000 Variable cost = $400,000 + $40,000 = $440,000 Selling price =…
Q: Martin owns an older home, which requires minor renovations. However, the neighborhood where Martin…
A: The objective of the question is to understand the factors that might lead to an increase in the…
Q: Innis Investments manages funds for a number of companies and wealthy clients. The investment…
A: The following computer solution (Sensitivity report) is provided for the question:
Q: Combined-cycle power plants use two combustion turbines to produce electricity. Heat from the first…
A:
Step by step
Solved in 4 steps with 9 images
- Suppose Box I contains five red balls and two white ones while Box II contains one red and four white ones. A box is chosen at random by selecting a random number from 0 through 9. If a 1 or 2 is selected, Box I is chosen; otherwise Box II is chosen. If I took Box 1 and chose 2 balls without replacement, what is the proabability that exactly one would be red?Determine the pivot element in the simplex tableau. (If there is more than one correct pivot element, choose the element with the smaller row number.) X1 X2 X3 S1 S2 3 4 2 1 15 1 20 -8 -3 10 1 row column N O OSTAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: 1 2 Pattern 12ft. 15ft. 30ft. Trim Loss 0 4 1 10 ft. 3 0 7 ft. 8 0 0 4 ft. 2 1 2 1 ft. 5 2 3 1 1 ft. Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12)+1(15) + 2(30) = 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. hand will be sold on the open market at the selling price. No inventory is held. Number of: 3
- -For this problem clearly derive the Linear program-Graph this problem and clearly indicate the feasible options- Clearly determine the solution to the problem using the method of points (be smart about which points you have to evaluate based on the graph of the objective functionA survey was conducted to 12 first time voters on their preferred candidate. The results are: BBM, BBM, LR, IM, PL, PL, IM, IM, BBM, BBM, LR, LR. Which statement is true? The Borda score of PL is two points. BBM wins by plurality method. The Condorcet winner is IM. The modes are LR and IM Which of the following is a property of all linear programming problems? alternate courses of action to choose from minimization of some objectives a computer program usage of graphs in the solutionInnis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client's needs. For a new client, Innis has been authorized to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs $100 and provides an annual rate of return of 4%. The client wants to minimize risk subject to the requirement that the annual income from the investment be at least $60,000. According to Innis' risk measurement system, each unit invested in the stock fund has a risk index of 8, and each unit invested in the money market fund has a risk index of 3. The higher risk index associated with the stock fund simply indicates that it is the riskier investment. Innis's client also specified that at least $300,000 be invested in the money market fund. Refer to the computer solution shown below. Optimal…
- Suppose that Pizza King and Noble Greek stopadvertising but must determine the price they will chargefor each pizza sold. Pizza King believes that Noble Greek’sprice is a random variable D having the following massfunction: P(D $6) .25, P(D $8) .50, P(D $10) .25. If Pizza King charges a price p1 and NobleGreek charges a price p2, Pizza King will sell 10025( p2 p1) pizzas. It costs Pizza King $4 to make a pizza.Pizza King is considering charging $5, $6, $7, $8, or $9 fora pizza. Use each decision criterion of this section todetermine the price that Pizza King should charge.Which of the following is true? a)The maximin criterion is an approach in Optimization under uncertainty which finds a solution that has the best possible payoff. b)The maximin criterion is an approach in Optimization under uncertainty which finds a solution with the best worst possible payoff. c)A risk profile represents the probability distribution of uncertain inputs. d)Decision tree is a method to solve any optimization problem when the outcomes are subject to uncertainty.Indicate which of the following is an all-integer linear program and which is a mixed-integer linear program. Write the LP Relaxation for the problem but do not attempt to solve. (a) 70x1 + 65x2 (b) Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. Max Write the LP Relaxation for the problem. s.t. (1) (2) (3) Max s.t. ---Select--- (1) 9x₁ + 4.5x₂ ≤ 400 (2) 4.5X₁ + 2x₂ ≤250 (3) x₁ + x₂ ≤ 150 X₁, X₂20 and X₂ integer Min s.t. (1) Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. (2) Min s.t. Write the LP Relaxation for the problem. 7x1 + 8x2 (1) 6X₁ + 8X₂ ≥ 8 (2) 6X₁ + 10x₂ ≥ 12 X₁, X₂20 and integer ---Select---
- 3. (Note: This is a variation of problem 6 of chapter 16 in your textbook.) Kenya and Dionne live on adjacent plots of land. Each has two potential uses for their land, the present values of each of which depend on the use adopted by the other, as summarized in the table. All the values in the table are known to both parties. Dionne Rental housing Bee keeping Kenya Apple growing A: $200 B: $700 A: $400 B: $650 Pig farming A: $450 B: $400 A: $450 B: $500 a. What is the efficient outcome? b. If there are negotiation costs of $150, what activities will the two pursue on their land? c. If there are no negotiation costs and the two negotiate, what activities will the two pursue on their land? How might a benevolent planner help reduce the costs of negotiating to encourage the optimal combination of land uses?Please answer very soon will give rating surelyThe alternatives shown are to be compared on the basis of their present worth values. At an interest rate of 8% per year, the values of n that you should use in the uniform series factors to make a correct comparison by the present worth method are: Alternative(A) Alternative (B) -25,000 -10,000 10,000 First Cost M&O cost/year 3,000 Salvage value 6,000 -2,000 Life 4 O A n 4 years for A and n =4 years for B OB. None of the above O C. n = 4 years for A and n =3 years for B O D. n = 12 years for A and n = 12 years for B