Carlton Construction Is Supplying Building Materials for a New Mall

question 24

Essay

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.

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Definitions:

Middle-Aged

A term describing individuals who are in the middle phase of life, often considered to be between the ages of 40 and 65.

Multiple Linear Regression

An analytical approach utilizing numerous independent variables to estimate the result of a target variable.

Deviations

Variations or departures from a standard or norm, often measured to assess conformity or performance in various contexts, including statistics, quality control, and behavioral studies.

Explanatory Variables

Factors in a statistical model that account for changes in the variable being studied, also referred to as independent variables.