A Large Accounting Firm Has Three Auditors

question 69

Essay

A large accounting firm has three auditors. Each can work up to 180 hours during the next month, during which time three projects must be completed. Project 1 takes 140 hours, Project 2 takes 150 hours, and Project 3 takes 170 hours. The amount per hour that can be billed for assigning each auditor to each project is given in the table below: Determine how to maximize total billings during the next month by formulating the company's problem as a transportation model.

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Definitions:

Oligopoly Model

An economic model that describes a market structure in which a few firms dominate the industry and have the ability to influence prices and market outcomes.

Competitive Market

A market structure in which many firms offer products or services that are similar, leading to high levels of competition.

Remarkable Healing

Significant or extraordinary recovery from illness or injury.

Cournot Duopolists

Firms in a duopoly market structure where each firm chooses its output level assuming the other does not change its output, leading to a strategic interdependence in decision-making.