Answered: A company is considering opening…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A company is considering opening warehouses in four
cities: New York, Los Angeles, Chicago, and Atlanta. Eachwarehouse can ship 100 units per week. The weekly fixed cost
of keeping each warehouse open is $400 for New York, $500
for Los Angeles, $300 for Chicago, and $150 for Atlanta.
Region 1 of the country requires 80 units per week, region 2
requires 70 units per week, and region 3 requires 40 units per
week. The costs (including production and shipping costs) of
sending one unit from a plant to a region are shown in Table
11. We want to meet weekly demands at minimum cost, subject
to the preceding information and the following restrictions:
1 If the New York warehouse is opened, then the Los
Angeles warehouse must be opened.
2 At most two warehouses can be opened.
3 Either the Atlanta or the Los Angeles warehouse
must be opened.
Formulate an IP that can be used to minimize the weekly
costs of meeting demand.

To ($)

From Region 1 Region 2 Region 3
New York 20 40 50
Los Angeles 48 15 26
Chicago 26 35 18
Atlanta 24 50 35

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