Solve the linear programming problem using the simplex method. Maximize z= 2x, + 3x2 subject to 5x1 +X2 S60 3x1 +2x2 s80 X1 +X2<70 X1, X2 2 0. ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is z = when x1 X2 = |, $1 =, s2 = , and I S3 %3D = B. There is no maximum solution for this linear programming problem.
Q: The standard form of the following linear programming model is given. Find the values of variables…
A:
Q: Consider the following LP problem developed at •• B.9 Zafar Malik's Carbondale, Illinois, optical…
A: In order to solve the problem graphically, convert inequalities to equality for the constraints.…
Q: Teacher Required Penalty History 35 $26,000 Science 30 $30,000 Math 40 $28,000 English 32 $24,000
A: Formulate Goal programming (GP) model as mentioned below- Decision variables: Let x1, x2, x3, x4,…
Q: Dr. Thompson’s sporting goods store is placing an order for scooters with its supplier. Four models…
A: Given data, Scooter are sold = 30,25,22,20 Store space= 500feet Assembly time = 1200 hours…
Q: Dr. Thompson’s sporting goods store is placing an order for scooters with its supplier. Four models…
A: Given data, Store Space = 500ft Assembly Time = 1200 hours Boys and girls scooter = 4 hours of…
Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…
A: The initial tableau can be written as follows.
Q: The optimal value of the objective function using graphical procedures is found by. Select one: O a…
A: Explanation : The feasible solution region on the graph is one which is satisfied by all…
Q: Set up and solve the following simple linear optimization model: MAX: 23.0 x + 16.9 y subject to: 3x…
A: Given that - MAX: 23.0x + 16.9y Subject to 3x + 4y ≥ 20 4x ≥ 10 5x + 1y ≤ 71 xy ≥ 0
Q: (a) In a particular iteration of the simplex method, if there is a tie for which variable should be…
A: Linear programming is a technique to reach the best outcome whose requirements are represented by…
Q: A market analyst working for a small appliance manufacturer finds that if the firm produces and…
A: Answer (a) When given a graph of a profit equation with the number of items produced on the x-axis…
Q: A marketing company must decide how many interviews to conduct during daytime (their number is D)…
A: A marketing company must decide how many interviews to conduct during the daytime (their number is…
Q: subject to X - 2x, + x, 2 20 2x, + 4.x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: according to u answering A given,
Q: Enrollment Management. An engineering department chair wants to maximize the use of scholarship…
A: Note: Scholarship amount condition not there in question, so not considered. Let, Xi is the number…
Q: Dr. Thompson’s sporting goods store is placing an order for scooters with its supplier. Four models…
A: Given data, Scooter sold = 30,25,22,20 Area of store 500 Assembly time = 1200 Boys and girls…
Q: The maximum number of viewers is In order to get that number of viewers, there should be minutes of…
A: x1,x2 and x3 are number of minutes taken by sports, news and weather segments respectively. Our…
Q: A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the…
A: Let the amount invested in Bond A be Xa, Bond B be Xb, Bond C be Xc, Bond D be Xd, and Bond E be Xe…
Q: Suppose you own 11 bronze coins worth a total of $150,11 silver coins worth a total of $160, and 11…
A: Given that: 11 bronze coins worth a total of $150, 11 silver coins worth a total of $160, and 11…
Q: Which one of the following would be a valid objective function for linear programming? OA. Min7XY O…
A: The objective function in linear programming problems (LPP ) is the fundamental-valued function…
Q: A manufacturing firm has discontinued production of a certain unprofitable product line.…
A: Since you have submitted a question with multiple subparts as per guidelines we have answered first…
Q: You are given the tableau shown in Table 74 for a maximization problem. Give conditions on the…
A:
Q: State the dual of the following and solve the same by the simplex method: Maximize Z = 4x + 2x₂…
A: The development of a primal-dual algorithm thus optimizes a dual program while improving primal…
Q: The optimum solution is: Number of air conditioners to be produced Number of heaters to be produced…
A: Decision variables: x = Number of air conditioners producedy = Number of heaters produced…
Q: w = 4y, +8y2 subject to: 6y +Y2 260 15y, +y2 2 105 Y20, y2 20 Use the simplex method to solve.…
A: Given LP- MIN W = 4y1 +8y2Subject to constraint-6y1+ y2≥6015y1+ y2≥105y1≥0 , y2≥0
Q: Lastly, you will need three constraints that show if SC, SR, or SP are 0, then the Available for…
A: Prepare a spreadsheet as shown below
Q: W = jars of Western Foods Salsa M = jars of Mexico City Salsa leads to the formulation (units for…
A: As per Bartleby guidelines, we can only solve the first three subparts of one question at a…
Q: (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest…
A: THE ANSWER IS AS BELOW:
Q: Suppose you use Solver to find the optimal solution to a maximization model. Then you remember that…
A: When a constraint is added to a maximization problem there are two possible outcomes. The original…
Q: Find the objective function and the constraints, and then solve the problem by using the Simplex…
A: Let; x1 be the number of shirts produced x2 be the number of jackets produced
Q: The cost per day of running a hospital is 200,000 +0.5x2 dollars, where x is the number of patients…
A: Given: 1. Cost per day for the hospital is of the form 200,000+0.5x² patients where x is the number…
Q: Consider the problem to the right. Мaximize z= - 2x1 + 5x2 - 4x3 subject to - 5x2 + 2x3 s7 (a)…
A: Slack and surplus variables are used for the purpose of solving Linear Programming Problems (LPP).…
Q: Dr. Thompson’s sporting goods store is placing an order for scooters with its supplier. Four models…
A: Given Information: It is given that store would like to place an order for at least 275 scooters
Q: Consider the following statements about linear programming and the simplex method. Label each…
A: In a particular iteration of the simplex method, if there is a tie for which variable should be the…
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: Given this linear programming model, solve the model and then answer the questions that…
A: Formula:
Q: Which one is valid for use in an LP problem? O log x1 + x1 x2 +3x3 <=100 3x1+4x2 <5 x3 Maximize x1 +…
A: Linear programming is a technique to accomplish the best result in a numerical model whose…
Q: Given the soft constraint X, + X2 +d* - d" = 45, which was originally the hard constraint X, + X2 =…
A: Slack and surplus variables are referred to as Deviational Variables (di — and di +) in general…
Q: Solve this problem in three ways; 1. Graphical 2. Excel solver 3. Sensitivity analysis/ report. a)…
A: Note: - Since we can only answer only up to three subparts and also it is not specified which…
Q: Consider the given LP: Maximize z = 4x1 + 6x2 + 8x3 Subject to 3x1 + 2x2 + 5x3= 0 1-Find…
A: Given data: Maximize z = 4x1 + 6x2 + 8x3Subject to 3x1 + 2x2 + 5x3<= 30 9x1 + 2x2 +…
Q: Use the simplex method to solve the linear programming problem. z= 8x1 - 7x2 + 2x3 X2 + 8x3 < 48 4x1…
A:
Q: subject to X1 – 2x, + x, 2 20 2x, + 4x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Referring to Exhibit 1, what is the optimal objective function value for this problem? 500 300 800 O…
A: Linear programming model is used to obtain maximum profits, by utilizing minimum resources…
Q: Use the simplex method to solve. Maximize z = 4x1 + 2x2, subject to 3x1 + x2 <…
A: Given Information: Maximize z = 4x1 + 2x2, subject to 3x1 + x2 < 22 3x1 +…
Q: Consider the following linear program: Maximize 30X1 + 10X, Subject to: 3X +X, < 300 X +X, s200 X1s…
A:
Q: Each well that is drilled produces both natural gas and oil. Based on current information, each MCF1…
A: As , Given the cost of well = 1500000 Cost of leasing land= 1800000 Labor & Miscellaneous cost=…
Q: Use the two-stage method to solve. Find x, 20 and x, 2 0 such that X1 + 2x2 s 22 X1 + 3x2 2 10 2x1 +…
A:
Q: It has been suggested that at each iteration of the simplex algorithm, the entering variable should…
A: Since the entering variable will, in general, increase from 0 to a positive number, the value of the…
Q: A gas company owns two refineries, 32 LPG bottling plants, and 367 retail outlets. The company has…
A: Performance management is a tool that enables the evaluation of the quality and efficiency of the…
Q: What are the optimal values of x, y and z? (Round your answers to nearest whole number.) Optimal…
A: Below is the solution:-
Q: company wants to produce 480 units over the next three months at a uniform rate. The months have 19,…
A: The answer is as below:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 6 images
- In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the house then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies: Keep tossing until your total is 3 or more. Keep tossing until your total is 4 or more. Keep tossing until your total is 5 or more. Keep tossing until your total is 6 or more. Keep tossing until your total is 7 or more. For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go: You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house. You toss a 3 and then a 6. You lose. You toss a 6 and stop. The house tosses a 3 and then a 2. You win. You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win. Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?STAR 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: 3A simplex tableau is shown below. You should complete the tableau and respond to the questions posed. Basis CB cj JIN Cj Zj X1 3 1 X2 4 x3 0 0 5 1/2 0 1 S1 O 1/2 S2 O -1/2 6 -1/4 1 What is the current value of the objective function of the current simplex tableau? (round to 2 decimal places) 3
- minimize Z = 5x1 + x2 subject to 3x1 + 4x2 = 24 0 x1 x1 + 3x2WHAT WLL HAPPEN IF THERE IS A CHANGE IS ONE OF THE OBJECTIVE FUNCTION COEFFICIENT? A. SLOPE OF THE OBJECTIVE FUNCTION LINE ALWAYS WILL CHANGE B. OPTIMAL SOLUTION ALWAYS WILL CHANGE C. ONE OR MORE OF THE DECISION VARIABLES ALWAYS WILL CHANGE D. ALL OF THE ABOVE E. NONE OF THE ABOVEA 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 solution
- Which of the following statements is correct regarding the EMH form? Select one: None of the answers are correct If the market is weak-form efficient, then it is also semistrong and strong-form efficient. If the market is semistrong form efficient, then it is also strong form efficient If a market is strong-form efficient, it is also semistrong and weak form efficient If the market is strong-form efficient, it is also semistrong but not weak-form efficientSolve the linear programming problem by the simplex method. Maximize 40x + 30y subject to the following constraints. of 7 ys 8 - 2x + 3y 2 15 uesti from x 2 0, y20 The maximum value of M is which is attained for x= and y =|| %3D pring 2021) i Enter your answer in the edit fields and then click Check Answer. All parts showing Clear AlWhat combination of x and y will yield the optimum for this problem? Maximize Z = $3x + $15y Subject to: Multiple Choice x= 0, y=4 x= 0, y=3 x= 0, y=0 x= 2y=0 O x=1,y=25 2x + 4y ≤ 12 5x + 2y ≤ 10
- Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700Maximize p = 7x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p= (x, y, z)=Graph the feasible region for the system of inequalities. 5x+y< -3 x-y > 3