Larkin Industries Manufactures Several Lines of Decorative and Functional Metal

question 7

Essay

Larkin Industries manufactures several lines of decorative and functional metal items.The most recent order has been for 1200 door lock units for an apartment complex developer.The sales and production departments must work together to determine delivery schedules.Each lock unit consists of three components: the knob and face plate,the actual lock itself,and a set of two keys.Although the processes used in the manufacture of the three components vary,there are three areas where the production manager is concerned about the availability of resources.These three areas,their usage by the three components,and their availability are detailed in the table.
A quick look at the amounts available confirms that Larkin does not have the resources to fill this contract.A subcontractor,who can make an unlimited number of each of the three components,quotes the prices below.
Develop a linear programming model that would tell Larkin how to fill the order for 1200 lock sets at the minimum cost.

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Definitions:

Social Interaction

The process by which individuals act and react in relation to others, influencing and being influenced by the social environment.

Morality

Principles concerning the distinction between right and wrong or good and bad behavior, often based on cultural, religious, or personal values.

Developmental Psychologists

Specialists in psychology focusing on how people grow and change throughout the lifespan, from infancy to old age.

Stages in Development

Distinct phases through which individuals progress over their lifetime, typically encompassing physical, cognitive, and social/emotional development.