Consider a project with seven tasks. Three tasks – tasks 3, 4, and 5 – require a specific resource forcompletion; all needed resources must be available at the site before a task can be started.TaskDurationPredecessor (s)Units ofValue ofResourceCompletedTaskNeeded3310$40003110S3000312$50001472, 5,6Each resource unit cost $100; no quantity discounts are available. In addition, it costs $2 per unitper time period to hold this resource in stock, and it costs $45 just to place an order for materials(independent of the number of units ordered). When should each task in the project be startedand when and how many resources should be ordered to minimize total project costs?1.1,enen1.2.en

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Answered: Consider a project with seven tasks.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section: Chapter Questions

Problem 36P

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Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
A) What is the theoretical minimum number of workstations? a. 3 workstations b. 3.5 workstations c. 3.83 workstations d. 4 workstations e. 5 workstations B) Which of the following statements is FALSE? a. Tasks A, B, and C can be started as soon as possible. b. All of the tasks A, B and C should be finished first before task F can be started. c. All of the tasks A through H should be finished first before task I can be started. d.All of the tasks B, E, C and F should be finished first before task H can be started. Answer the two questions please.
What is true about the assignment problem if the solution has reached the table below? Project A Project B Project C Project D Expert W 0 100 200 0 Expert X 0 0 200 300 Expert Y 0 100 300 0 Expert Z 200 100 0 0 a. The minimum number of vertical and horizontal lines needed to cross out 0s is three. b. Optimal assignment of projects cannot be determined yet. c. Optimal assignment of projects can now be determined.
Troy and Tristan have decided to open a competitive Cheer and Dance business. Troy’s expertise is in business. He has a degree in Business Administration with a minor in Underwater Basket Weaving. Tristan, on the other hand, has a degree in Sports Management and has been coaching the Tesoro cheerleading team, while his girlfriend, Beatrix, has been coaching the dance team. The problem is that no one has much capital to invest. In fact, both are having a little trouble figuring out how they will be able to get the startup capital for the business. Fortunately, there are no other competitive Cheer and Dance companies in the area. Unfortunately, the potential buildings they have found to lease costs over $7,000 per month and they expect that utilities and water will cost approximately $650 per month. Liability insurance is expensive as well, estimated to be $2,000 per month due to possible injuries. What type of business organization should Troy ad Tristan adopt?
A consulting firm has four projects to consider. Each project will require time (in days) in the next three months according to the table below. Project Time in first month Time in second month Time in third month Revenue A 6 8 6 22000 B 5 6 8 18000 C 8 7 6 16000 D 5 5 4 15000 Revenue from each project is also shown. There is 20 days’ time available in the first month, 22 days’ time available in the second month, and 22 days’ time available in the third month to do these projects. The management wants to select at most 3 projects. If project B is selected, then project C must also be selected. The objective of the firm is to maximize the total revenue. Formulate an integer optimization model for this problem by defining the decision variables, the objective function and all the constraints.…
How much influence can the employee requirements for one, two, or three days have on the weekly schedule in the employee scheduling example? Explore this in the following questions: a. Let Monday’s requirements change from 17 to 25 in increments of 1. UseSolverTable to see how the total number of employees changes.b. Suppose the Monday and Tuesday requirements can each, independently of one another, increase from 1 to 8 in increments of 1. Use a two-way SolverTable to see how the total number of -employees changes.c. Suppose the Monday, Tuesday, and Wednesday -requirements each increase by the same amount, where this increase can be from 1 to 8 in -increments of 1. Use a one-way SolverTable to -investigate how the total number of employees changes.
A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
Problem: Acme Manufacturing produces widgets on an assembly line. The assembly process has five tasks, each with its own processing time: Task Processing Time (Seconds) A 10 B 8 C 12 D 9 E 7 drive_spreadsheetExport to Sheets Acme currently has two workers assigned to the assembly line, and they work simultaneously. The company wants to improve line efficiency and reduce waste. Objective: Balance the assembly line by assigning tasks to each worker in a way that minimizes idle time and maximizes output.
A software support company has the following minimum personnel requirements “on duty” during the week. Each employee is required to have two consecutive days off. What are the minimum total regular employees required to satisfy the requirements? (Assume, because of accounting reasons, no employee can take Sunday and Monday off).
Vivian and Wayne are planning on going to Lamazenatural childbirth classes. Lamaze classes meet once a weekfor five weeks. Each class gives 20% of the knowledge neededfor “natural” childbirth. If Vivian and Wayne finish theirclasses before the birth of their child, they will forget duringeach week 5% of what they have learned in class. To maximizetheir expected knowledge at the time of childbirth, duringwhich week of pregnancy should they begin classes? Assumethat the number of weeks from conception to childbirthfollows the probability distribution given in Table 9. Week of Birth Probability36 .0537 .1539 .2040 .3041 .1542 .1043 .05
1. Which of the following is the key identifier of a resource-allocation problem? I. Constraints with the form " Amount of resource used => Amount of resource available" II. Constraints with the form " Amount of resource used <= Amount of resource available" III. Constraints with the form " Level achieved => Minimum acceptable level" IV. All constraints have the form " Amount provided = Required amount" a. I only b. II only c. III only d. IV only e. At least two is correct
Nice-Fit is a (fictional) small business producing outfits for costume parties and specialoccasions. Custom designs can be tailored to a customer’s request. Tom and Ann are theowners of the company and source all the fabric, design the outfits and make the costumesthemselves. Tom and Ann keep spreadsheets with information on the material purchased andcostumes made, but they find it difficult to keep track of their products, raw materials, andsales. The raw materials are supplied from a fabric company in India, and the production takesplace in a manufacturing company in China. The clothing is sold at local weekend markets,sold, or rented through costume hire shops, and sold at their physical store. Tom and Annreceive a small percentage of the sales and rentals of their costumes from the hire shops.They have no information on customers other than those who request custom designsdirectly from them. In 2020, the Covid-19 pandemic had a major impact on global economies,businesses and how we…

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