The Sunrise Manufacturing Company produces medical devices at two plants: Aurora and Barlow. The medical devices are shipped to four distribution centers located in Creswell, Dayton, Elgin, and Florence. Information about the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands is provided in the table below.
Distribution Center
Plant
Creswell
Dayton
Elgin
Florence
Capacity / Demand
Aurora
$13.00
$ 15.25
$10.99
$18.48
1,250
Barlow
$10.75
$ 15.16
9.65
18.50
750
Demand
175
325
480
950
Management would like to determine how much to ship from each plant to each distribution center to minimize the total transportation cost. Define Xij = number of units shipped from plant i to distribution center j, where i=1 (Aurora), 2 (Barlow) and j= 1(Creswell), 2 (Dayton), 3(Elgin), 4 (Florence). Answer the following questions based on the above information:
Question 6: C Which of the following is the constraint for total amount shipped from Barlow?
A. X21 + X22 + X23 + X24 ≤ 1,250
B. X12 + X22 + X32 + X42 ≤ 750
C. X21 + X22 + X23 + X24 ≤ 750
D. X21 + X22 + X23 + X24 ≥ 750
Question 7 D Which of the following is the constraint for the demand met at a distribution center?
A. X13 + X23 ≥ 210
B. X21 + X22 = 325
C. X11 + X12 = 175
D. X13 + X23 = 480
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