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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.


Definitions:

Motivating Potential Score

A formula used to evaluate the motivating potential in job design based on five core job characteristics: skill variety, task identity, task significance, autonomy, and feedback.

Job Profile

A detailed description of the responsibilities, required qualifications, and expected performance for a specific job position.

Critical Psychological State

A condition in which an individual's psychological well-being is significantly affected, impacting their emotions, thoughts, and behaviors.

Job Characteristics Model

A theory that proposes that the nature of a person's job or the characteristics of the organization predominantly determines their levels of motivation, satisfaction, and performance at work.

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