An Oil Company Has Oil Fields in San Diego and Los

question 91

Essay

An oil company has oil fields in San Diego and Los Angeles. The San Diego field can produce up to 500,000 barrels per day, and the Los Angeles field can produce up to 400,000 barrels per day. Oil is sent from the fields to a refinery, either in Dallas or in Houston. Assume that each refinery has unlimited capacity. To refine 100,000 barrels costs $725 at Dallas and $950 at Houston. Refined oil is shipped to customers in Chicago and New York. Chicago customers require 400,000 barrels per day, and New York customers require 300,000 barrels per day. The costs of shipping 100,000 barrels of oil (refined or unrefined) between cities are shown in the table below:
-(A) Determine how to minimize the total cost of meeting all demands.
(B) If each refinery had a capacity of 380,000 barrels per day, how would you modify the model in (A)?

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Definitions:

Direct Labor Costs

The wages and benefits paid for labor that is directly involved in the production of goods.

Property, Plant, and Equipment

Long-term tangible assets that a company uses in its operations and that are expected to provide benefits for more than one year.

Standard Cost

A predetermined cost of manufacturing a product or providing a service, under normal conditions, which serves as a benchmark for measuring performance.

Direct Labor Workers

Direct Labor Workers are employees who are directly involved in the production of goods or services, whose wages are considered part of the direct costs of production.