A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 110 widgets per day. Plant D can produce 55 widgets per day. Each day, the widgets produced in the plants must be shipped to satisfy the demand of 3 customers. Customer 1 requires 85 units per day, customer 2 requires 110 units per day, and customer 3 requires 190 units per day. The shipping costs for each possible route are shown in the table below: Shipping Costs per unit at Plant Customer 1 10 O 12 A B с D $40 $25 $20 $15 Customer 2 Customer 3 $35 $35 $30 $20 $20 $15 $40 $25 The 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? 0 5 7

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 110 widgets per day. Plant D can produce 55 widgets per day. Each day,
the widgets produced in the plants must be shipped to satisfy the demand of 3 customers. Customer 1 requires 85 units per day, customer 2 requires
110 units per day, and customer 3 requires 190 units per day. The shipping costs for each possible route are shown in the table below:
Shipping Costs per unit at Plant
A
B
C
D
Customer 1
$40
$25
$20
$15
Customer 2
$35
$35
$30
$20
Customer 3
$20
$15
$40
$25
The 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?
5
7
10
12
Transcribed Image Text:A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 110 widgets per day. Plant D can produce 55 widgets per day. Each day, the widgets produced in the plants must be shipped to satisfy the demand of 3 customers. Customer 1 requires 85 units per day, customer 2 requires 110 units per day, and customer 3 requires 190 units per day. The shipping costs for each possible route are shown in the table below: Shipping Costs per unit at Plant A B C D Customer 1 $40 $25 $20 $15 Customer 2 $35 $35 $30 $20 Customer 3 $20 $15 $40 $25 The 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? 5 7 10 12
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