A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 120 widgets per day. Plant D can produce 60 widgets per day. Each day, the widgets produced in the plants must be shipped to satisfy the demand of 3customers. Customer 1 requires 55 units per day, customer 2 requires 120 units per day, and customer 3 requires 245 units per day. The shipping costs for each possible route are shown in the table below:Shipping Costs per unit at PlantCustomer 1Customer 2 Customer 3A$15$20$25B$20$30$40C$25$35$15D$40$35$20The firm needs to satisfy all demand each day but would like to minimize the total costs.The objective function for the firm's problem will have how many terms?05710O 12

Find the given details below: Shipping cost per unit at plantCustomer 1Customer 2Customer…

Answered: A firm has 4 plants that produce…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 53P

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A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 100 widgets per day. Plant D can produce 50 widgets per day. Each day, the widgets produced in the plants must be shipped to satisfy the demand of 3 customers. Customer 1 requires 75 units per day, customer 2 requires 100 units per day, and customer 3 requires 175 units per day. The shipping costs for each possible route are shown in the table below: Shipping Costs Customer per unit Plant 1 2 3 A $ 25 $ 35 $ 15 B $ 20 $ 30 $ 40 C $ 40 $ 35 $ 20 D $ 15 $ 20 $ 25 The firm needs to satisfy all demand each day, but would like to minimize the total costs. The firm’s problem falls within which classification? Multiple Choice Cost-benefit-trade-off Assignment problems Transshipment problems Transportation problems Resource-allocation
A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 100 widgets per day. Plant D can produce 50 widgets per day. Each day, the widgets produced in the plants must be shipped to satisfy the demand of 3 customers. Customer 1 requires 75 units per day, customer 2 requires 100 units per day, and customer 3 requires 175 units per day. The shipping costs for each possible route are shown in the table below: Shipping Costs Customer per unit Plant 1 2 3 A $ 25 $ 35 $ 15 B $ 20 $ 30 $ 40 C $ 40 $ 35 $ 20 D $ 15 $ 20 $ 25 The firm needs to satisfy all demand each day, but would like to minimize the total costs. Which of the following constraints is unnecessary for this problem (xi,j is the number of widgets shipped from factory i to customer j)? A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 100 widgets per day. Plant D can produce 50 widgets per day. Each day, the widgets produced…
Nash Auto has two plants, two warehouses, and three customers. The plants are in Detroit and Atlanta,the warehouses are in Denver and New York, and the customers are in Los Angeles, Chicago, and Philadelphia. Cars are produced at plants, then shipped to warehouses, and finally shipped to customers. Detroit can produce 800 cars per week, and Atlanta can produce 400 cars per week. Los Angeles requires 450 cars per week, Chicago requires 300, and Philadelphia requires 250. It costs $10,000 to produce a car at each plant. The costs of shipping a car between various cities are listed in the file P05_56.xlsx. Assume that during a week, at most 250 cars can be shipped from a warehouse to any particular city.Determine how to meet Nash’s weekly demands at minimum cost.
A company supplies goods to three customers, who eachrequire 30 units. The company has two warehouses.Warehouse 1 has 40 units available, and warehouse 2 has 30units available. The costs of shipping 1 unit from warehouseto customer are shown in Table 7. There is a penalty for eachunmet customer unit of demand: With customer 1, a penaltycost of $90 is incurred; with customer 2, $80; and withcustomer 3, $110. Formulate a balanced transportationproblem to minimize the sum of shortage and shipping costs.

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