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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 per widget for each possible route are shown in the table below: Customer Plant 1 A B C D $25 $20 $40 $15 2 2 3 $35 $15 $30 $40 $35 $20 $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 (xij is the number of widgets shipped from factory i to customer j)? XA,1+XA,2+XA,3 = 100 XB,1 + XB,2+ XB,3 = 100 XC,1 + XxC,2+ XxC,3 =100 XA,1+XB,1 + XXC,1 =75

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 per widget for each possible route are shown in the table below: Customer Plant 1 A B C D $25 $20 $40 $15 2 2 3 $35 $15 $30 $40 $35 $20 $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 (xij is the number of widgets shipped from factory i to customer j)? XA,1+XA,2+XA,3 = 100 XB,1 + XB,2+ XB,3 = 100 XC,1 + XxC,2+ XxC,3 =100 XA,1+XB,1 + XXC,1 =75

Practical Management Science
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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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 per widget for each possible route are shown in the table below: Customer Plant 1 A B C D $25 $20 $40 $15 2 2 3 $35 $15 $30 $40 $35 $20 $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 (xij is the number of widgets shipped from factory i to customer j)? XA,1+XA,2+XA,3 = 100 XB,1 + XB,2+ XB,3 = 100 XC,1 + XxC,2+ XxC,3 =100 XA,1+XB,1 + XXC,1 =75
Transcribed Image Text: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 per widget for each possible route are shown in the table below: Customer Plant 1 A B C D $25 $20 $40 $15 2 2 3 $35 $15 $30 $40 $35 $20 $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 (xij is the number of widgets shipped from factory i to customer j)? XA,1+XA,2+XA,3 = 100 XB,1 + XB,2+ XB,3 = 100 XC,1 + XxC,2+ XxC,3 =100 XA,1+XB,1 + XXC,1 =75
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