The University of Iowa Is Experimenting with a Blend of Soil

question 50

Essay

The University of Iowa is experimenting with a blend of soil amendments to be used in an analysis of variance study of the response of tomatoes to various amounts of sunlight.To perform this study, all other elements must be controlled so that the only variable is the sunlight.The minimum requirements for calcium, phosphorous, and potassium are 125 pounds, 150 pounds, and 120 pounds respectively.The soil amendment mixture from Prairie Gold consist of 25% calcium, 25% phosphorous, 12½% potassium, and 37½% other ingredients.It costs $0.40 per ounce.The mixture from Grinell Grow is 20% calcium, 25% phosphorous, 25% potassium, and 30% other ingredients.It sells for $0.50 per ounce.Formulate a linear programming model that will allow the University of Iowa to conduct this experiment using a minimum cost blend of the two soil amendment mixtures.

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Definitions:

Personal Fable

A concept in adolescent psychology referring to a belief held by some adolescents that they are unique and exceptional and therefore not subject to the rules that govern the rest of the world.

Formal Operational Reasoning

A stage in Piaget's theory of cognitive development where individuals are able to think abstractly and logically.

Selective Attention

The cognitive process of focusing on certain information while ignoring other stimuli.

Abstract Thought

The ability to think about objects, principles, and ideas that are not physically present.