Bectol, Inc. is building a dam. A total of 10 million cuft of dirt is needed to construct the dam. A bulldozer is usedto collect dirt for the dam. Then the dirt is moved via dumpersto the dam site. Only one bulldozer is available, and it rentsfor $100 per hour. Bectol can rent, at $40 per hour, as manydumpers as desired. Each dumper can hold 1,000 cu ft ofdirt. It takes an average of 12 minutes for the bulldozer toload a dumper with dirt, and each dumper an average of fiveminutes to deliver the dirt to the dam and return to the bulldozer. Making appropriate assumptions about exponen-tiality, determine how Bectol can minimize the total expected cost of moving the dirt needed to build the dam.
Bectol, Inc. is building a dam. A total of 10 million cuft of dirt is needed to construct the dam. A bulldozer is usedto collect dirt for the dam. Then the dirt is moved via dumpersto the dam site. Only one bulldozer is available, and it rentsfor $100 per hour. Bectol can rent, at $40 per hour, as manydumpers as desired. Each dumper can hold 1,000 cu ft ofdirt. It takes an average of 12 minutes for the bulldozer toload a dumper with dirt, and each dumper an average of fiveminutes to deliver the dirt to the dam and return to the bulldozer. Making appropriate assumptions about exponen-tiality, determine how Bectol can minimize the total expected cost of moving the dirt needed to build the dam.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Bectol, Inc. is building a dam. A total of 10 million cu
ft of dirt is needed to construct the dam. A bulldozer is used
to collect dirt for the dam. Then the dirt is moved via dumpers
to the dam site. Only one bulldozer is available, and it rents
for $100 per hour. Bectol can rent, at $40 per hour, as many
dumpers as desired. Each dumper can hold 1,000 cu ft of
dirt. It takes an average of 12 minutes for the bulldozer to
load a dumper with dirt, and each dumper an average of five
minutes to deliver the dirt to the dam and return to the
bulldozer. Making appropriate assumptions about exponen-
tiality, determine how Bectol can minimize the total expected
cost of moving the dirt needed to build the dam.
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