Evaluating Production Models
A farm manager is modeling the relationship between the number of workers hired (X) and the total tons of crops harvested (Y). All other factors, such as land area and equipment, are fixed. The manager is considering two possible mathematical models:
Model A: Y = 15X Model B: Y = 70 * sqrt(X)
Critique both models. Which model is more likely to represent a realistic production scenario as the number of workers becomes very large? Justify your choice by explaining the underlying assumptions each model makes about the contribution of each additional worker.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.1 Prosperity, inequality, and planetary limits - The Economy 2.0 Microeconomics @ CORE Econ
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Evaluation in Bloom's Taxonomy
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A firm's production of widgets (Y) depends on a single variable input: the number of workers (X). All other inputs are fixed. The firm's manager observes two things: 1) with zero workers, no widgets are produced, and 2) hiring an additional worker always increases the total number of widgets produced, but each new worker adds fewer widgets to the total than the previous worker did. Which of the following mathematical functions, Y = f(X), best models this specific production scenario?
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Power Production Function