Larkin Industries Manufactures Several Lines of Decorative and Functional Metal

question 41

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. $$\begin{array} { l c c c c } \text { Resource } & \text { Knob and Plate } & \text { Lock } & \text { Key (each) } & \text { Available } \\\hline \text { Brass Alloy } & 12 & 5 & 1 & 15000 \text { units } \\\text { Machining } & 18 & 20 & 10 & 36000 \text { minutes } \\\text { Finishing } & 15 & 5 & 1 & 12000 \text { minutes }\end{array}$$ 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. $$\begin{array} { l c c } \text { Component } & \text { Subcontractor Cost } & \text { Larkin Cost } \\\hline \text { Knob and Plate } & 10.00 & 6.00 \\\text { Lock } & 9.00 & 4.00 \\\text { Keys (set of 2) } & 1.00 & .50\end{array}$$ Develop a linear programming model that would tell Larkin how to fill the order for 1200 lock sets at the minimum cost.

---

Definitions:

Team Performance

A measure of how effectively a group achieves its goals and objectives.

Task Conflict

A situation where there are disagreements among group members regarding the content and outcomes of the task being performed, often seen as beneficial for enhancing decision-making and problem-solving.

Process Conflict

Disagreements among team members about the logistics of task accomplishment, including the distribution of resources, procedures, and policies.

Responsibility

The state or fact of having a duty to deal with something or of having control over someone, often involving accountability and ethical obligations.