Suppose that a computer supplier has two warehouses, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 50 units, and the customer in city D orders 60 units. The number of units at the warehouse in city A is 70, and the number of units at the warehouse in city B is 80. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, and from B to D is 4. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost (as- suming that the values of units to be shipped are real numbers). Express the problem as an equivalent standard form linear programming problem.
Suppose that a computer supplier has two warehouses, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 50 units, and the customer in city D orders 60 units. The number of units at the warehouse in city A is 70, and the number of units at the warehouse in city B is 80. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, and from B to D is 4. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost (as- suming that the values of units to be shipped are real numbers). Express the problem as an equivalent standard form linear programming problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose that a computer supplier has two warehouses, one located in city
A and another in city B. The supplier receives orders from two customers,
one in city C and another in city D. The customer in city C orders 50
units, and the customer in city D orders 60 units. The number of units at
the warehouse in city A is 70, and the number of units at the warehouse
in city B is 80. The cost of shipping each unit from A to C is 1, from A
to D is 2, from B to C is 3, and from B to D is 4.
Formulate the problem of deciding how many units from each warehouse
should be shipped to each customer to minimize the total shipping cost
(as- suming that the values of units to be shipped are real numbers).
Express the problem as an equivalent standard form linear programming
problem.
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