Math 006 (Applications)
Example 1.
A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with
a combined carrying capacity of 520,000 gallons. Tank cars with three different carrying
capacities are available: 8,000 gallons, 16,000 gallons, and 24,000 gallons. How many of
each type of tank car should be leased?
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Example 2.
The rushhour traffic flow for a network of for oneway streets in a city is
shown in the figure.
The numbers next to each street indicate the number of vehicles
per hour that enter and leave the network on that street. The variable
x
1
, x
2
, x
3
and
x
4
represent the flow of traffic between the four intersections in the network.
(a) For a smooth traffic flow, the number of vehicles entering each intersection should
always equal the number leaving. For example, since 1000 vehicles enter the intersec
tion of 1st Street and 3rd Street each hour and
x
1
+
x
3
vehicles leave this intersection,
we see that
x
1
+
x
3
= 1000. Find the equations determined by the traffic flow at each
of the other three intersections.
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 Fall '09
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 Math, Automobile, traffic flow, Tank car, OnePerson TwoPerson FourPerson, combined carrying capacity, railroad tank cars

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