A company will be producing the same new product at two different factories, and then the productmust be shipped to two warehouses. Factory 1 can send an unlimited amount by rail to warehouse 1only, whereas factory 2 can send an unlimited amount by rail to warehouse 2 only. However,independent truckers can be used to ship up to 50 units from each factory to a distribution center,from which up to 50 units can be shipped to each warehouse. The shipping cost per unit for eachalternative is shown in the following table, along with the amounts to be produced at the factories andthe amounts needed at the warehouses.FromFactory 1Factory 2ToDistribution centerAllocationUnit Shipping CostDistributionCenter34Warehouse1726029490Output8070(a) Formulate the network representation of this problem as a minimum cost flow problem.(b) Formulate the linear programming model for this problem.

Answered: A company will be producing the same…

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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The Gorilla Oil Company near Pittsburg transports gasoline to its distributors by truck. The company recently contracted to supply gasoline distributors in Kansa, and it has $1,000,000 available to spend on the necessary expansion of its fleet of gasoline tank trucks. Three models of gasoline tank trucks are available. II. Truck Model Capacity (gallons) Purchase Cost Monthly Operating Cost Super Tanker Regular Line Econo-Tanker 5,000 3,000 2,000 $50,000 $40,000 $25,000 $1,000 $ 800 $ 600 The company estimates that the monthly demand for the region will be 500,000 gallons of gasoline. Because of the size and speed differences of the trucks, the number of deliveries or round trips possible per month for each truck model will vary. Trip capacities are estimated at 10 trips per month for the Super Tanker, 20 trips per month for the Regular Line, and 30 trips per month for the Econo-Tanker. Based on maintenance and driver availability, the firm does not want to add more than 30 new vehicles…
Is transportation modeling a type of linear programming? Justify your answer
ABC Apple Juice Company produces and markets fresh fruit juice. During the apple harvest season, trucks bring apples from the fields to the process plant during a workday that runs long hours from 7AM. On peak days, approximately 3,000 kg of apples are trucked in per hour. Trucks dump their contents in a holding bin with a storage capacity of 9,000 kg. When the bin is full, incoming trucks must wait until it has sufficient available space. A conveyor moves apples from bin to the processing plant. The plant is configured to process apples at the rate of 2,000 kg per hour. Trucks arrive uniformly between 7:00AM to 5:00PM. Each truck holds about 1,000 kg of apples. The truck drivers are paid at the rate of $10 per hour. As ABC makes fresh juice, it does not store apples. Processing plant starts at 10:00AM and ends when all the apples received during the day have been processed. It takes 2 hours to clean the empty plant that must be kept ready for the next day production. Trucks are owned…
Your company offers a weekly consolidation service from Toronto to Frankfort , via Lufthansa Airways. The carrier has given you a 1000 kg (or less) buying rate of CAN $2.27/kg and a plus 1000 kg buying rate of CAN $1.85/kg. You sell this service to clients who ship 700 kg (or less) at a rate of CAN $2.95/kg and for clients who ship in excess of 700 kg at a rate of CAN $2.55/kg. A) Shipper: J&J Company 123 John Street Toronto, ON, Canada, L5R 2N3 Shipment: 140 cartons of books Total weight: 426 kg Dimensions of each carton: 15 cm x 49 cm x 47 cm B) Shipper: R&R Company 432 Avenue Road Toronto, ON, Canada, R2S 1A3 Shipment: 380 cartons of umbrellas Total weight: 700 kg Dimensions of each carton: 39 in x 18 in x 19 in What is the profit on this shipment? full calculation
A company manufactures a product at its plants in C and D; then ships the product to its four distribution centers in K, L, M, and N. The transportation costs per unit (in dollars per unit) are as follows: from C to K, L, M, and N: 10, 5, 9, and 20. from D to K, L, M, and N: 2, 8, 30, and 10. The monthly demand from K, L., M, and N are: 3000, 1400, 4000, and 1200 units, respectively. On the other hand, the monthly capacity at plants C and D are: 4100 and 5800 units, respectively. Develop a linear programming model that can be used to determine the distribution plan that will minimize total monthly transportation cost. Use Excel Solver to find the optimal solution The optimal solution shows that the total monthly transportation cost is dollars.
Chapter 5: Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. Calculate the utilization of cashiers and their capacity cushion during a peak hour?
The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to outlets in Honolulu and Venice Beach. The Tucson plant, when operating at full capacity, can manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes, can produce only 410 boards per week. The outlet in Honolulu orders 500 Gladiator boards per week, while Venice Beach orders 530 boards per week. Transportation costs are as follows. Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board. Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10 per board. (a) Assuming that you wish to fill all orders and ensure full capacity production at both plants, is it possible to meet a total transportation budget of $9,900? O Yes O No If so, how many Gladiator boards are shipped from each manufacturing plant to each distribution outlet? (If…
A retail has 8 stores supplied from 4 suppliers, where each supplier supplies different goods. Delivery from the Supplier is in trucks with a capacity of 40,000 units at a cost of $1100 per load plus $100 per delivery to the store. Inventory costs are $0.2 per unit per year. The Supply Chain Manager is considering whether to use direct shipping or Milk Run delivery for 4 stores for each truck in one shipment a) if annual sales in each store are 1000,000 units, which shipping method provides the lower cost b) if the annual sales in each store are 200,000 units, which shipping method provides the lower cost
2.) Your business provides technical support for very complex and specialized machinery used by companies throughout the country, and you currently have support centers at 5 locations. However, due to a poor market, you have been forced to close your centers in Houston and San Diego. You will have to relocate all of your technicians in these two centers to your other three centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and travel and retraining times, the cost for relocating an employee varies depending on where the employee is moving. These costs are given in the following table: To: From: Cleveland Seattle Charlotte $5,000 | $7,000 $7,000 $4,000 $6,000 $8,000 Houston San Diego You currently have 40 employees in Houston and 55 employees in San Diego, which all need to be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at most 32 employees, and Charlotte is able to take in at most 50 employees.…
John is travelling from home in Sydney to a hotel in Perth. Three stopovers on the way a number of choices of towns for each stop only one hotel to choose from in each town, except for Perth, where there are three hotels (J, K, and L) to choose from Each trip has a different distance resulting in a different cost (petrol) (cost is marked by each arc) Hotels have different costs (cost is marked by each node (town)) ● ● ● The goal is to select a route to and a hotel in Perth so that the overall cost of the trip is minimized. Use dynamic programming (forward recursion) to solve this problem by constructing the usual tables for each stage. Stage: 0 (Sydney) 1 Petrol cost start 22 8 12 Hotel cost 70 80 B 80 25 10 2 50 A E 70 30 10 18 8 7 3 50 F 70 70 H 60 8 10 10 4 (Perth) 50 13 K 10 15 L 60 70
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
Consider the situation of three (3) incoming product lots, as shown in the table. Consider floor stacking. For a dedicated storage system using a lane depth of 4 pallets, determine the number of lanes needed, and the floor space, for the incoming lots.Pallet dimensions 80 x 120 cm. The shorter dimension is placed along the access aisle, and the longer one into the lane. Clearances are 8 cm between pallets, between lanes, and back-to-back between pallets. The access aisle is 3.2 m wide; it is not shared with other products on the other side. The flue space at the back end of the lane is 50 cm.; this space is not shared with other products. The stacking heights is 2.5; see the sketch bekow. A third pallet can be placed on top of two stacks, as shown. Product A В C Lot size 162 144 134

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