Mathematics

Problem 1

An oil company wants to create lube oil, gasoline and diesel fuel at two refineries. There are two sources of crude oil. The following network representation depicts this problem.

Write out the LP formulation for this problem (you do NOT need to solve).

Problem 2

A company makes 2 products A and B from 2 resources, labor and material. The products have the following resource requirements and produce the accompanying profits. The available quantity of resources is also shown in the table.

Product

A

B

Available resources

Labor(hr/unit)

3

2

150

Material(ounces/unit)

1

2

200

Profit($/unit)

7

6

Management has developed the following set of goals

Goal1: Produce approximately 40 units of product 1.

Goal2: Produce approximately 70 units of product 2.

Goal3: Achieve a profit over $400.

Goal4: Consume less than 150 hours of labor

Goal5: Consume less than 200 ounces of material

Formulate a goal programming model of this problem (you do NOT need to solve).

attachment
lp_q.docx

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