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IEOR 162, Fall 2011
Homework 10
1. (Problem 9.2.10; 5 points) If
x
and
y
are integers, how could you ensure that at least one of
x
+
y
≤
3
and 2
x
+ 5
y
≤
12 is satisﬁed?
2. (Problem 9.2.11; 5 points) If
x
and
y
are integers, how could you ensure that whenever
x
≤
2 is
satisﬁed, then
y
≤
3 is satisﬁed?
Hint.
The information that
x
is an integer is critical.
3. (Problem 9.2.12; 10 points) A company is considering opening warehouses in four cities: New York,
Los Angeles, Chicago, and Atlanta. Each warehouse 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 the table below.
From
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 Fall '07
 Zhang

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