Larkin Industries Manufactures Several Lines of Decorative and Functional Metal

question 6

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:

Tear Duct

A small tube that carries tears from the eye into the nasal cavity, playing a crucial role in eye lubrication and the drainage system.

Dilator

A tool or substance used to expand or enlarge an opening or passage in the body.

Onychectomy Tray

a set of surgical instruments specifically designed for performing onychectomies, the surgical removal of nails.

Nail Removal

A medical procedure involving the extraction of a nail (fingernail or toenail) due to infection, disease, or injury.