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A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses. It is thinking about using a transportation LP formulation to exactly match capacities and requirements. Data on transportation costs (in dollars per unit), capacities, and requirements are given below.
Plant 1 2 3 Capacities
A 2.41 1.63 2.09 4,000
B 3.18 5.62 1.74 6,000
C 4.12 3.16 3.09 3,000
Requirement 8,000 2,000 3,000
a. How many variables are involved in the LP formulation?
b. How many constraints are there in this problem?
c. What is the constraint corresponding to Plant B?
d. What is the constraint corresponding to Warehouse 2?
e. What is the minimum transportation cost?
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