An Oil Company Controls Two Oil Fields

question 37

Essay

An oil company controls two oil fields.Field 1 can produce up to 45 million barrels of oil per day,and Field 2 can produce up to 55 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.The company sells oil to two countries: France and Japan.The shipping costs per barrel are shown below. Each day,France is willing to buy up to 45 million barrels (at $6 per barrel),and Japan is willing to buy up to 35 million barrels (at $6.50 per barrel).What is the maximum profit the company can make?

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Definitions:

Square Roots

The value that, when multiplied by itself, gives the original number, often denoted as √x.

Perfect Square

A number that is the square of an integer, such as 1, 4, 9, 16, etc.

Evaluate

To figure out the valuation of an expression.

Principal Square Root

The principal square root is the non-negative root of a given number, represented as sqrt(x) for a non-negative number x.