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1. A washing machine manufacturing company has two supply sources A, and B with capacities of 60 and 70 units respectively. The company needs to transport washing machines to its destribution centers at Laguna (L), Batangas (B), and Cavite (C) with demands of 30, 40, and 60 units respectively. The cost of transporting 1 unit of washing machine from one source to a certain destination is given in the following table: source\destination A B Demand LBC P30 P40 P30 P60 30 40 60 Supply 60 P 20 P80 70 Find the number of units to be transported from each source to each distribution center that gives the minimum total transportation cost.

1. A washing machine manufacturing company has two supply sources A, and B with capacities of 60 and 70 units respectively. The company needs to transport washing machines to its destribution centers at Laguna (L), Batangas (B), and Cavite (C) with demands of 30, 40, and 60 units respectively. The cost of transporting 1 unit of washing machine from one source to a certain destination is given in the following table: source\destination A B Demand LBC P30 P40 P30 P60 30 40 60 Supply 60 P 20 P80 70 Find the number of units to be transported from each source to each distribution center that gives the minimum total transportation cost.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show your complee solution to each of the following problems: 1. A washing machine manufacturing company has two supply sources A, and B with capacities of 60 and 70 units respectively. The company needs to transport washing machines to its destribution centers at Laguna (L), Batangas (B), and Cavite (C) with demands of 30, 40, and 60 units respectively. The cost of transporting 1 unit of washing machine from one source to a certain destination is given in the following table: source destination A B Demand L B P 30 P 60 30 assignment employee Job 1 Job 2 Job 3 Job 4 Job 5 Find the number of units to be transported from each source to each distribution center that gives the minimum total transportation cost. P40 P 20 40 2. In a department store, there are five newly hired employees A, B, C, D, E ad five jobs 1, 2, 3, 4, 5. Assigning a job to a certain employee will cost the owner to pay that employee a monthly salary shown in he table below. A B P 20k P18k P21k P 17k P 18k C P 30 P 15k P 20k P23k P80 60 P 18k P 18k Supply 60 70 DE P25k P 15k P25k P 20k P20k C P 18k P20k P12k P 14k P25k P27k P21k P23k P 16k P 19k How should the store owner assign the available jobs to his employees so that it will cost him as little as possible to pay all his employees per month?
Transcribed Image Text:Show your complee solution to each of the following problems: 1. A washing machine manufacturing company has two supply sources A, and B with capacities of 60 and 70 units respectively. The company needs to transport washing machines to its destribution centers at Laguna (L), Batangas (B), and Cavite (C) with demands of 30, 40, and 60 units respectively. The cost of transporting 1 unit of washing machine from one source to a certain destination is given in the following table: source destination A B Demand L B P 30 P 60 30 assignment employee Job 1 Job 2 Job 3 Job 4 Job 5 Find the number of units to be transported from each source to each distribution center that gives the minimum total transportation cost. P40 P 20 40 2. In a department store, there are five newly hired employees A, B, C, D, E ad five jobs 1, 2, 3, 4, 5. Assigning a job to a certain employee will cost the owner to pay that employee a monthly salary shown in he table below. A B P 20k P18k P21k P 17k P 18k C P 30 P 15k P 20k P23k P80 60 P 18k P 18k Supply 60 70 DE P25k P 15k P25k P 20k P20k C P 18k P20k P12k P 14k P25k P27k P21k P23k P 16k P 19k How should the store owner assign the available jobs to his employees so that it will cost him as little as possible to pay all his employees per month?
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