MinimizeSubject toz = 3x + y3y + 5x > 306y + 4x40y + x8X0Y> 0Solve this using the graphical method. Be sure to clearly show all steps:• Sketch the feasible region●Determine the corner pointsDetermine the minimum of the objective function●Upload a picture showing your work here: Choose File No file chosen

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Answered: Solve this using the graphical method.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A committee in charge of promoting a Ladies Professional Golf Association tournament is trying to determine how best to advertise the event during the two weeks prior to the tournament. The committee obtained the following information about the three advertising media they are considering using. Cost per Audience Reached per Advertisement Advertisement Category TV Radio Internet s.t. Priority Level 2 Goal Priority Level 3 Goal Goal 1: Reach at least 3.7 million people. Priority Level Goal TV limit X₁ <10 Radio limit X₂ ≤ 15 Internet limit X3 ≤18 The last column in this table shows the maximum number of advertisements that can be run during the next two weeks; these values should be treated as constraints. The committee established the following goals for the campaign. Priority Level 1 Goal Goal 1 200,000 Goal 2 50,000 Goal 3 100,000 X Goal 2: The number of television advertisements should be at least 30% of the total number of advertisements. ✓ $2,500 X $400 Goal 3: The number of radio…
find its optimal solution by inspection. Minimize w = 10y1
1. Power Notebooks, Inc. plans to manufacture a new line of notebook computers. Management is trying to decide whether to purchase the LCD screens for the computers from an outside supplier or to manufacture the screens in-house. The screens cost $100 each from the outside supplier. To set up the assembly process required to produce the screens in-house would cost $100,000. The company could then produce each screen for $75. The number of notebooks that eventually will be produced (Q) is unknown at this point. a. Set up a spreadsheet that will display the total cost of both options for any value of Q. Use trial-and-error with the spreadsheet to determine the range of production volumes for which each alternative is best. b. Use a graphical procedure to determine the break-even point for Q (i.e., the quantity at which both options yield the same cost). 2. Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two…
Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40 2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥ 0, z ≥ 0.
For a certain civil engineering system, it is sought to maximize the benefits, which is given by the expression: Z=3x+5y. The decision variables are x (the amount of resource type 1 to be used) and y (the amount of resource type 2 to be used). • The amount of resource type 1 should be at least 3 units. • The amount of resource type 2 should be at least 3 units. The difference between the amount of ● resource type 2 and the amount resource type 1 should not exceed 6. • The total amount of resource types 1 and 2 should not exceed 12 units. a. Identify the obiective function for this problem. b. Identify and write the constraints. c. Provide a sketch graph for the constraint set. d. Clearly show the feasible region. e. Label all extreme points (or vertices) of the feasible region and indicate their coordinates. f. Solve the optimization problem.
tion Determine the unknown displacements using finite element method only given that k = 2000 N/m, u = 2 cm and P = 2000 N. k U K k F ✗ 4 3 2
2. Maximize subject to p = x + 2y X +3y24 2x + y 18 x ≥ 0, y ≥ 0.
TUTORIAL DECISION ANALYSIS 1. e) 0 B) 2. Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gasoline station. Susan's problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table: Size of First Station Small Medium Large Extra Large Stock Market Bonds CDs Good Market (5) Probability a) b) 50,000 80,000 Decision Alternative. 100,000 300,000 Fair Market (S) 20,000 30,000 30,000 25,000 For example, if Susan constructs a small station and the market is good, she will realize a profit of $50,000. what is the criterion of realism decision? Use an a value of 0.8. Develop an opportunity loss table? What is the minimax regret decision? Mickey Lawson is considering investing some money that he…
c. From the following decision tree, develop a payoff table and calculate: * Maximax, Minimax regret, Maximin, and EMV. ORs. 50,000 Good conditions (0.60) Poor conditions (0.40) -O Rs. 30,000 Apartment Building Good conditions (0.60) O Rs. 100,000 Office building Poor conditions (0.40) Purchase ORs -40,000 Warchouse Good conditions (0.60) Rs.30, 000 Poor conditions (0.40) O Rs. 10,000
At a hydrocarbon processing factory, process control involves the periodic analysis of samples for a certain process quality parameter. The analytic procedure currently used is costly and time-consuming. A faster and more economical alternative procedure has been proposed. However, the numbers for the quality parameter given by the alternative procedureare somewhat different from those given by the current procedure, not because of any inherent errors but because of changes in the nature of the chemical analysis. Management believes that if the numbers from the new procedure can be used to forecast reliably the corresponding numbers from the current procedure, switching to the new procedure would be reasonable and cost-effective. The following data were obtained for the quality parameter by analyzing samples using both procedures: a. Use linear regression to find a relation to forecast Y, which is the quality parameter from the current procedure, using the values from the proposed…
What is the computed point estimate given X = .45 and n=2?
4. A consultant has been working on measuring performances of the private hospitals locating in Sinop. Because of the privacy concerns, the names of the hospitals are not shared. The hospitals (H1, H2, and H3) will be evaluated systematically by means of DEA based on AHP method. In the proposed analysis, initially traditional AHP analysis is decided to be applied in order to calculate the weights of the hospitals. Then, the weights derived from AHP method will be directly used in the DEA analysis. Below, pairwise comparison matrices collected from decision maker, are demonstrated. Based on these, calculate the global weights of the hospitals and provide the ranking of the alternatives. (Note: The consistencies of the pairwise comparison matrices have already controlled.) Pairwise Comparison Matrix of Criteria ci Pairwise Comparison Matrix of hospitals with regard to (wrt) Criterion 2 H2 Criteria Criterion 1 (C1) Criterion 2 (C2) Criterion 3 (C3) C2 C3 Alternatives H1 H3 1 3 3 H1 1 1 Н2…

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Solve this using the graphical method. Be sure to clearly show all steps: Sketch the feasible region Determine the corner points Determine the minimum of the objective function ●