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- A gold mining area in Lanao contains on average, 1 ounce of gold per ton. Two methods of processing are available; method A costs ₱1.5 M per ton and recovers 90% of gold; method B cost ₱1.3M per ton and recovers 80% of the gold. If gold can be sold for ₱2.4M per ounce, which method is better and by how much?A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load meter moved. An analyst has prepared the following flow and distance matrices: Distances (meters) Flows (Loads per week) From/To I II III From/To X Y Z I - 10 20 X - 0 80 II - - 10 Y 30 - 150 III - Z 100 130 -If the company were to locate departments X, Y, and Z in areas 1, 2, and 3, respectively, what would be the total distance (in meters) loads would be moved each week?A. 3,100B. 3,600C. 6,200D. 7,200E. 8,200 Work must…find themaximum flow from source to sink. Also find a cut whosecapacity equals the maximum flow in the network.
- 9-43. Northwest University is in the process of complet-ing a computer bus network that will connect com-puter facilities throughout the university. The prime objective is to string a main cable from one endof the campus to the other (nodes 1–25) throughunderground conduits. These conduits are shownin the network below; the distance between them isin hundreds of feet. Fortunately, these undergroundconduits have remaining capacity through which thebus cable can be placed.(a) Given the network for this problem, how long (inhundreds of feet) is the shortest route from node1 to node 25?(b) In addition to the computer bus network, a newphone system is also being planned. The phonesystem would use the same underground conduits. If the phone system were installed, the follow-ing paths along the conduit would be at capacity and would not be available for the computer busnetwork: 6–11, 7–12, and 17–20. What changes(if any) would you have to make to the pathused for the computer bus if the phone…A 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?A refiner in city Q serves three customers near city Wand maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $650 plus $300 per stop. The refiner is considering aggregating deliveries to city Won a singletruck. The demand ofthe first customer is 96 tons a year, the demand of the second customer is 24 tons per year, and the demand of the third customer is 9.6 tons per year. Product cost is $7,700 per ton, and it uses a holding cost of 15%. Truck capacity is 15tons. a.What is the annual transportation and holding cost if the refiner ships a full truckload each time a customer is running out of stock? How many days of inventory is carried at each customer under this policy? b.What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual transportation and holding cost? How many days of inventory…
- Can you please solve this Q using slover for the option of having both Low capacity & high capacity. please attched the excel file (doing one of them, or none of them but not both)BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…
- 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?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?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.
