The Ayatola Oil Company controls two oil fields. Field 1 can produce up to 40 million barrels of oil per day, and field 2 can produce up to 50 million barrels of oil per day. At field 1, it costs $3 to extract and refine a barrel of oil; at field 2, the cost is $2. Ayatola sells oil to two countries: England and Japan. The shipping cost per barrel is shown in Table 12. Each day, England is willing to buy up to 40 million barrels (at S6 per barrel), and Japan is willing to buy up to 30 million barrels (at $6.50 per barrel). Formulate a balanced transportation problem to maximize Ayatola's profits. TABLE 12 To ($) From ($) England Japan Field 1 1 2 Field 2 1

Practical Management Science
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The Ayatola Oil Company controls two oil fields. Field
1 can produce up to 40 million barrels of oil per day, and
field 2 can produce up to 50 million barrels of oil per day.
At field 1, it costs $3 to extract and refine a barrel of oil; at
field 2, the cost is $2. Ayatola sells oil to two countries:
England and Japan. The shipping cost per barrel is shown
in Table 12. Each day, England is willing to buy up to 40
million barrels (at $6 per barrel), and Japan is willing to
buy up to 30 million barrels (at S6.50 per barrel). Formulate
a balanced transportation problem to maximize Ayatola's
profits.
TABLE 12
To ($)
From ($)
England
Japan
Field 1
1
Field 2
2
1
2.
Transcribed Image Text:The Ayatola Oil Company controls two oil fields. Field 1 can produce up to 40 million barrels of oil per day, and field 2 can produce up to 50 million barrels of oil per day. At field 1, it costs $3 to extract and refine a barrel of oil; at field 2, the cost is $2. Ayatola sells oil to two countries: England and Japan. The shipping cost per barrel is shown in Table 12. Each day, England is willing to buy up to 40 million barrels (at $6 per barrel), and Japan is willing to buy up to 30 million barrels (at S6.50 per barrel). Formulate a balanced transportation problem to maximize Ayatola's profits. TABLE 12 To ($) From ($) England Japan Field 1 1 Field 2 2 1 2.
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