Exam 21: Modeling Using Linear Programming
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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 Plant Plant 1 2.1 1.3 2.09 8,000 Y 3.18 5.62 1.74 2,000 Z 4.12 3.16 3.0 3,000 Capacities 4,000 0,000 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 2?
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The term 'programming' is used in linear programming because these models find the best 'program' or course of action to follow.
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