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Carlton Construction Is Supplying Building Materials for a New Mall

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Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):
Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):    Formulate an LP model for this logistics problem. Formulate an LP model for this logistics problem.

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Definitions:

Technology

The application of scientific knowledge for practical purposes, especially in industry, involving the development and use of technical means and their interrelation with life, society, and the environment.

Stock of Capital

The total quantity of physical assets used in the production of goods and services in an economy.

Short-Run Aggregate Supply Curve

A graphical representation showing the relationship between the total supply of goods and services produced by an economy and the price level for those goods and services in the short term.

Long-Run Aggregate Supply Curve

A graphical representation showing an economy’s potential output level when all factors of production are fully utilized.

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