Proctoring Enabled: Chapter 6 Network Optimization Pro. O Saved Help Sove & Exit 4 A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. Oak Street Street School Park Elm Steet Street Path A B D E Сараcity 30 25 25 20 25 20 30 (Round your answer to the nearest whole number.) Maximum Flow
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- Problem 1, see picture Please information for C is different from the one solution found online : A workshop has three (3) types of machines A, B, and C; it can manufacture two (2) products 1 and 2, and all products have to go to each machine and each one goes in the same order; First to the machine A, then to B and then to C. The following table shows The hours needed at each machine, per product unit the total available hours for each machine, per week; and the profit of each product per unit soldA manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 How many arcs will the network have?Scenario The KOREAN factory of Hi-Tech Metal, Inc. primarily manufactures plumbing system parts for gas pipes, drainage pipes, water supply pipes and hoses etc. A mainframe computer was used for scheduling, but it took a lot of time and unnecessarily put heavy workload on scheduling managers and on-site workers. Following are the associated problems to meet customers’ needs Lengthy 3 to 4 days schedule drafting time, caused by mainframe computer’s long processing time. Inflexibility of mainframe computer to sudden order changes, leading to tedious manual calculation and direct on-site adjustment Extra workload for on-site workers One-month base scheduling that cannot meet customers’ need, Task 4 Considering above scenario justify improvements and alternatives to design and manufacturing of plumbing system. [Improvements, alternative systems, explain the IoT systems and Industry4.0 impacts]
- Scenario The KOREAN factory of Hi-Tech Metal, Inc. primarily manufactures plumbing system parts for gas pipes, drainage pipes, water supply pipes and hoses etc. A mainframe computer was used for scheduling, but it took a lot of time and unnecessarily put heavy workload on scheduling managers and on-site workers. Following are the associated problems to meet customers’ needs Lengthy 3 to 4 days schedule drafting time, caused by mainframe computer’s long processing time. Inflexibility of mainframe computer to sudden order changes, leading to tedious manual calculation and direct on-site adjustment Extra workload for on-site workers One-month base scheduling that cannot meet customers’ need, Task 1 Considering above scenario Summarize the design process for the finished component [Identify components, explain the utilities and design process (5/7/10 step) for components]Currently they have 5 refrigerated trucks and planning to expand as market for their services ison the rise. The fixed cost of their operations is $1,200,000 per year covering managerial,administrative, insurance, and other related expenses at their headquarters. Every truck hasapproximately $100,000 annual expense for lease, maintenance, and insurance. The variablecost of operation for each truck is $3.50 per mile covering fuel and truck driver’s pay. Themaximum mileage capacity of each truck is 200,000 miles per year and current demand is1,000,000 miles per year. The company charges $10.00 per mile for a fully loaded truckshipment. Construct an Excel cross tabulation table to find profit for this company using 6 to 14trucks and mileage demand of 1,000,000, 1,500,000, 2,000,000, 2,500,000, 3,000,000, and3,500,000 miles per year. Based on the table find the optimal number of trucks needed for abovelisted mileage demands.Show your step-by-step process using the SPECIAL PURPOSE LINEAR PROGRAMMING: ASSIGNMENT METHOD to solve this problem. Four Engineers are to work on 4 projects of Dora Company. The problem is to decide which engineer should be assigned to which project. Each engineer charges different fees on each project, due to distances of the projects and the complexity of the work. The cost of assigning particular engineers to particular projects are as stated below. The objective is to find the lease cost of assignment. Engineer 1 to Projects A, B, C, D = $11k, $8k, $10k, $7k respectively.Engineer 2 to Projects A, B, C, D = $6k, $5k, $3k, $8k respectively.Engineer 3 to Projects A, B, C, D = $4k, $8k, $10k, $9k respectively.Engineer 4 to Projects A, B, C, D = $11k, $10k, $5k, $7k respectively.
- The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 2 minutes. The average traveling time (a round trip) is 20 minutes. How many Avis buses are traveling to and from the airport? The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to Avis’s offices to 2.5 minutes. Is she correct? If your answer is negative, then what will the average traveling time be?Jeff Sowing Shop Jeff Sowing Shop was established in 2002 in downtown Kingston. The company currently employs one thousand five hundred (1,500) employees. In order to meet the Christmas demand, the company is considering employing an additional five hundred and fifty (550) workers and establishing a shift system. The first shift will work from 8 a.m. to 3 p.m. and the second shift from 3. p.m. to 11 p.m. Management took a decision not to pay a shift premium but told the workers in a meeting that they will be given a bonus at the end of the year providing the set targets are achieved. The workers were unhappy with the outcome of the meeting and decided to discuss the matter with their trade union. A delegation from the union met with management and the meeting ended in a stalemate. A second meeting was set to resolve the conflict. Prior to that meeting, management met and agreed that their position is right and they are not going to change. At the second meeting, both teams held their…Baking dog treats in her kitchen has been a simple process for Emma to manage. She has two ovens, one sink, a refrigerator, and enough room for two people to work at the same time. However, when Emma moves her business out of her home, she will have a commercial kitchen that can accommodate as many as six people working simultaneously. She had never thought of her business as “production” until the real estate agent who showed her the space asked how many production workers she needs to accommodate. At that point, Emma realized she would be running a production system. Even worse, she realized that she had never even visited a manufacturing facility or set foot on a real production floor. How will she ever manage this process?
- A1 Credit provides credit information to its customersthroughout the country, 24 hours per day. Credit representativesanswer customer calls and provide information. Based on demandpatterns, the estimated number of representatives needed duringfour-hour time periods of each day are shown in the table. Employees work shift s of eight consecutive hours, and shift scan start at the beginning of any of the six periods shown inthe table. Assume this schedule will be repeated day aft er day,so that someone starting at 8 pm will contribute to the need forrepresentatives in the midnight–4 am time period. Th e supervisorhas been instructed to schedule employees so that all demandscan be met with a minimum possible number of employees.(a) Formulate an LP to minimize the number of representativesneeded.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution.Avis Company is a car rental company that is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 2 minutes. The average traveling time (round-trip) is 20 minutes.a. How many Avis buses are traveling to and from the airport?b. The branch manager wants to improve the service and suggests dispatching buses every 0.5 minutes. She argues that this will reduce the average traveling time from the airport to the Avis offices to 2.5 minutes. Is she correct? If your answer is negative, what will the average traveling time be?A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?