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 3 customers. 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 3 A B C D $25 $35 $15 $40 $35 $20 $15 $20 $25 $20 $30 $40 The firm needs to satisfy all demand each day but would like to minimize the total costs. Select the constraint that models customer demand. X81+x82+x83 120 xc1+xc2+xc3 ≤ 120 XAI + XE + X + XOI = 65 XA1 XA2+XA3 ≤ 120

Practical Management Science
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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 3
customers. 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 3
A
B
C
D
$25
$35
$15
$40
$35
$20
$15
$20
$25
$20
$30
$40
The 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 ≤ 120
0xC1 + xc2+xc3 ≤ 120
XA1 + XB1 + XC1 + XD1 = 65
Ο ΧΑΙ
+XA2+XA3 ≤ 120
Transcribed Image Text: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 3 customers. 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 3 A B C D $25 $35 $15 $40 $35 $20 $15 $20 $25 $20 $30 $40 The 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 ≤ 120 0xC1 + xc2+xc3 ≤ 120 XA1 + XB1 + XC1 + XD1 = 65 Ο ΧΑΙ +XA2+XA3 ≤ 120
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