Larkin Industries Manufactures Several Lines of Decorative and Functional Metal

question 59

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:

Flowchart Symbols

Symbols used in flowcharts to represent different types of actions or steps in a process.

Border Colors

The colors applied to the outlines of shapes, cells in tables, or elements in a document or presentation to enhance aesthetic appeal or denote information categorization.

Predefined Shapes

Built-in geometric forms or figures that can be quickly inserted and used in software applications, such as word processors and graphic design programs.

Visual Interest

The aspect of a design or composition that draws the viewer's eye and makes it engaging through elements like color, shape, and layout.