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 65 units per day, customer 2 requires 120 units per day, and customer 3 requires 235 units per day. The shipping costs for each possible route are shown in the table below:Shipping Costs per unit at Plant Customer 1 Customer 2 Customer 3ABCD$25$35$15$40$35$20$15$20$25$20$30$40The firm needs to satisfy all demand each day but would like to minimize the total costs.Select the constraint that models customer demand.XB1 + XB2 + XB3 ≤ 1200xC1 + xc2+xc3 ≤ 120XA1 + XB1 + XC1 + XD1 = 65Ο ΧΑΙ+XA2+XA3 ≤ 120

As given in the question,the production capacity for each plant is given as 120 widgets per day for…

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. 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…
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