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:

Shafir, Simon, And Tversky

Researchers known for their contributions to the field of decision-making and behavioral economics, though no combined work by all three is specifically famous.

Sony Product

Items manufactured and sold by Sony, a multinational company known for producing electronics, games, and entertainment content.

Aiwa Product

Items manufactured by Aiwa, a brand known for its consumer electronics, including audio and video equipment.

Number Of Options

The total count of possible choices available in a given decision-making scenario.