4. Find the maximum flow of graph K. Find the flow of each path, then determine the maximum flow. 350 550 b a 650 550 K3 C 200 900 a. The path of (s, a, c, t) has flow: The maximum flow is: b. The path of (s, b, c, t) has flow: The maximum flos is: c. The path of (s, b, t) has flow: The maximum flow is: d. The total maximum flow is:
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- The Bayside Art Gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of the eight display rooms that Bayside uses for exhibitions is shown in the figure below; the openings between the rooms are numbered 1 through 13. Entrance Room 1 Room 2 1 4 8 12 Room 3 Room 4 7 Room 5 10 Room 6 2 5 13 Room 7 11 Room 8 A security firm proposed that two-way cameras be installed at some room openings. Each camera has the ability to monitor the two rooms between which the camera is located. For example, if a camera were located at opening number 4, rooms 1 and 4 would be covered; if a camera were located at opening 11, rooms 7 and 8 would be covered; and so on. Management decided not to locate a camera system at the entrance to the display rooms. The objective is to provide security coverage for all eight rooms using the minimum number of two-way cameras.Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 ______ to_______ constraint 2 ______to_______ constraint 3 ______to_______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…
- 5. The manager of a fast-food restaurant featuring hamburgers is adding salads to the menu. If they choose to include a salad bar (i.e., the MAKE option), it will cost $14,000 in annual fixed costs for the leased equipment and added employee, and $1 per salad variable cost. If they choose to have pre-made salads (i.e., the BUY option), it will cost $3 per salad. The manager expects to sell 7,500 salads per year. What is the make or buy quantity (i.e., the breakeven point between making vs. buying)?The chairperson of the department of management at Tech wants to forecast the number of students who will enroll in operations management next semester in order to determine how many sections to schedule. The chair has accumulated the following enrollment data for the past 15 semesters: Using 2 Semester Weighted moving average compute the forecasted number of student for semester 16 the weight are 4 for the most recent semester and 2 for the older one. Semester Students Enrolled in OM 1 270 2 310 3 250 4 290 5 370 6 410 7 400 8 450 9 440 10 470 11 520 12 515 13 525 14 542 15 5034. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month, All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the goal of the maintenance department to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective maintenance, How many hours each month are spent performing preventive maintenance if they achieve their 90% utilization and correct/preventive mix targets?
- The mayor of Cambridge, Colorado, wanting to be environ-mentally progressive, decides to implement a recycling plan.All residents of the city will receive a special three-part bin toseparate their glass, plastic, and aluminum, and the city willbe responsible for picking up the materials. A young city andregional planning graduate, Michael Duffy, has been hired tomanage the recycling program. After carefully studying thecity’s population density, Duffy decides that the followingnumbers of recycling collectors will be needed: The requirements are based on the populations of the vari-ous housing developments and subdivisions in the city andsurrounding communities. To motivate residents of someareas to have their pickups scheduled on weekends, a specialtax break will be given.a. Find the minimum number of recycling collectors re-quired if each employee works 5 days a week and has twoconsecutive days off. Give preference to the S–Su pairwhen that pair is involved in a tie.b. Specify the…The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows: Machine Breakdowns Probability per Week 0.1 0.2 2 0.1 0.25 0.3 0.05 a. Simulate the machine breakdowns per week for 20 weeks. 4. b. Compute the average number of machines that will break down per weck.Projects W, X, Y, and Z are each being screened according to four criteria:Potential Return on Investment, Lack of Technological Risk, Environmental“Friendliness,” and Service to Community:• Project W: Return, high; Risk, medium; Environment, medium; Service, low• Project X: Return, medium; Risk, high; Environment, medium; Service, low• Project Y: Return, medium; Risk, medium; Environment, high; Service, high• Project Z: Return, medium; Risk, medium; Environment, high; Service, low.Create a scheme for screening the projects, assuming equal weight for all criteria.Which project comes out best; which word explain the output of scope with help of figure. How risk been evauted while describing the scope management.
- identify the steps in problem solving * included Identify and define the problem. Determine the set of alternative solutions. Determine the criterion or criteria that will be used to evaluate the alternatives. Evaluate the alternatives. Choose an alternative. Implement the selected alternative. Evaluate the results to determine whether a satisfactory solution has been obtained. Identify and define the problem. Determine the set of alternative solutions. Determine the criterion or criteria that will be used to evaluate the alternatives. Evaluate the alternatives. Choose an alternative. Implement the selected alternative. Evaluate the results to determine whether a satisfactory solution has been obtained.9. Dana is 30 years old and owns a wedding planning business. She takes care of all wedding events details from arranging flowers, tables, theme to catering food to a high standard. She has a good reputation in the market. Recently, she discovered another food catering company with wider varieties and lower prices that her customers will love to have. Thus, she decided to write a negative letter to the current catering company to inform them about terminating their business together. Dana has to plan her negative letter very carefully and to explain the needs of her customers: * A.to avoid responsibility for the message B.to improve future performance on the part of the sender C.to avoid adding a personal message to the recipient D.to gain control of the context of the message E.to minimize damage to the business relationshipExplain or define each of these terms:a. Laplace criterionb. Minimax regretc. Expected valued. Expected value of perfect information