The U.S. government is auctioning off oil leases at twosites: 1 and 2. At each site, 100,000 acres of land are to beauctioned. Cliff Ewing, Blake Barnes, and Alexis Pickens arebidding for the oil. Government rules state that no bidder canreceive more than 40% of the land being auctioned. Cliff hasbid $1,000/acre for site 1 land and $2,000/acre for site 2 land.Blake has bid $900/acre for site 1 land and $2,200/acre for site2 land. Alexis has bid $1,100/acre for site 1 land and$1,900/acre for site 2 land. Formulate a balanced transportationmodel to maximize the government’s revenue.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 36P
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The U.S. government is auctioning off oil leases at two
sites: 1 and 2. At each site, 100,000 acres of land are to be
auctioned. Cliff Ewing, Blake Barnes, and Alexis Pickens are
bidding for the oil. Government rules state that no bidder can
receive more than 40% of the land being auctioned. Cliff has
bid $1,000/acre for site 1 land and $2,000/acre for site 2 land.
Blake has bid $900/acre for site 1 land and $2,200/acre for site
2 land. Alexis has bid $1,100/acre for site 1 land and
$1,900/acre for site 2 land. Formulate a balanced transportation
model to maximize the government’s revenue.

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