The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3)and terminate at a major city (node T), where the other nodes are junction points in the system.FromR1R2R3R1R2ΤοR3ABUsing units of thousands of acre feet, the tables below show the maximum amount of water that can bepumped through each aqueduct per day.ToDABC From130 115 -A70 90 110B140 120CEFTDEFDEF FromD110 85 -130 95 85130 160 FToT220330240The city water manager wants to determine a flow plan that will maximize the flow of water to the city.a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and thetransshipment nodes, and then drawing the complete network that shows the capacity of each arc.

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Answered: The next diagram depicts a system of…

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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Jing's Pizza wants to know to whether customers will buy the new Fancy Feijoa pizza. You are the owner's son/daughter and your mum (the owner) knows you have just completed a paper in business analytics. She asks (or tells!) you to come up with a plan to answer her question. Luckily, she has a database of frequent customers in an excel spreadsheet. You go through your notes and decide that you will use clustering and find groups of similar customers in her spreadsheet. 1. Identify the data that might use for customers who will buy the new Pizza. 2. What plan or alternative plan might use to sell the pizza?11:35 AM
The following network describes a transportation scenario in which there are four sources A, B, C, and D, and three destinations P, Q, and R. (The numbers next to each arrow represent the cost of transporting one unit from that particular source to the destination located at the other end of that arrow). Write the mathematical formulation of the problem. Use the Excel Solver to solve the problem. Generate the answer and sensitivity reports in Excel, and submit your Excel workbook as a separate attachment. Provide the solution obtained in the space provided. What is the optimal cost of transportation?
Explain along with examples related to Freight Traffic Assignment Problems and vehicle routing problem in the logistics activities of manufacturing and service companies! Solve the following case study using the transportation method: Suppose there is a manufacturing company that produces and distributes its products to various customer locations across the country. This company has three production plants (Plant A, Plant B, and Plant C) located in different locations, and there are also five distribution centers (DC 1, DC 2, DC 3, DC 4, and DC 5) scattered across various regions. The company's goal is to determine the most efficient transportation routes for delivering products from the plants to the distribution centers, considering transportation costs and available capacities.
Beeson Co. is experiencing a decrease in sales and operating income for the fiscal year ending December 31st. Julia Faure, controller of Beeson Co., has suggested that all orders received before the end of the fiscal year be shipped by midnight, December 31st even if shipping department must work overtime. Since Beeson Co. ships all merchandise FOB shipping point, it would record all such shipments as sales for the year ending December 31st, thereby offsetting some of the decreases in sales and operating income.Discuss whether Julia Faure is behaving in a professional manner and what are the implications of her actions?
allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)
The metes and bounds system primarily relies on which of the following to describe land? section, lot, and block numbers within a subdivision a readily identifiable point of beginning and the boundaries of a property in terms of distances and compass directions checks, correction lines, and tiers meridians, base lines, townships, and ranges
Please help me with part b
A company has three existing warehouses to which it will ship furniture from a new factory whose location must be decided. The factory will receive raw materials from its wood supplier and fabric supplier. The annual number of shipments, shipment costs and the location of the suppliers and warehouses are shown below Existing facilities Annual L to or from fact cost Coordinate location Wood supplier 120 10 (100, 400) Fabric supplier 200 10 (800,700) Ware h 1 61 10 (300, 600) Ware h 2 40 10 (200, 100) Ware h 3 70 10 (600, 200) Using the median load answer the following questions –Where the factory should be located to minimize annual transportation cost –What will be the minimum annual transportation cost
A bank has its head office in the financial district in the middle ofa city. A bank has six branches, three in the north of the city and threein the south all 5 km from the centre and spaced 3 km apart. The bankwishes to link all its branches via private leased lines but mustdecide between providing an individual line to each branch via anumber of inter-branch links and a smaller number of multiplexed linesto the centre. If a modem costs £100, a multiplexer/demultiplexercosts £200 and leased lines cost £100 per km per year to rent, suggesta design that will yield the most cost effective solution if theinstallation is to remain in operation for four years. 1st option is - link all branches by providing individual line to each branch via a number of inter branch links to the centre. 2nd option is - link all branches by providing smaller number of multiplexed lines to the centre Please calculate both options and choose the most cost effective solution for four years?
A company has 4 plants: Plant 1, Plant 2, Plant 3, and Plant 4. All the plants make the same product The company sells the product in 4 different cities: City 1, City 2, City 3, City 4. Maximum production (in thousands of units) that is possible at the 4 plants are given respectively by (Plant 1 to Plant 4): 5, 25, 10, and 15. Your forecast shows that the demand for the product (in thousands of units) in each of the cities is given by (City 1 to City 4): 15, 7, 9, 10. Your firm does not want to have any backorders or lost demand. The production & transportation cost for getting a product from any given plant to any given city if given blow: Plant 1 Plant 2 Plant 3 Plant 4 Production and Transportation Cost per 1000 units (Thousand $) City 1 City 2 1070 1260 1825 780 800 City 3 1400 1685 1540 1070 2425 1355 843 City 4 1530 1100 500 1045 You need to decide which plant will serve which city and how much. Find the optimal way to serve the demands in all the cities. What is the optimal…
Maximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex method
The prices for traveling between five cities in Colorado by bus are given in the table below. Use the edge-picking algorithm to find a low-cost bus route that starts and ends in Boulder and visits each city. Colorado Springs Grand Junction $48 $24 $21 $44 $57 Boulder Denver Boulder $15 Colorado Springs $24 Grand Junction $48 Durango $73 Denver $15 $21 $44 $71 O Boulder-Denver-Colorado Springs-Grand Junction-Durango-Boulder O Boulder-Colorado Springs-Denver-Durango-Grand Junction-Boulder O Boulder-Colorado Springs-Denver-Grand Junction-Durango-Boulder O Boulder-Denver-Colorado Springs-Durango-Grand Junction-Boulder O Boulder-Grand Junction-Colorado Springs-Denver-Durango-Boulder $57 $58 -- $31 Durango $73 $71 $58 $31

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