Robert Hope Received a Welcome Surprise in This Management Science $25 \%$

question 53

Essay

Robert Hope received a welcome surprise in this management science class; the instructor has decided to let each person define the percentage contribution to their grade for each of the graded instruments used in the class. These instruments were: homework, an individual project, a mid-term exam, and a final exam. Robert's grades on these instruments were 75, 94, 85, and 92, respectively. However, the instructor complicated Robert's task somewhat by adding the following stipulations:
-homewark can account far up to $25 \%$ of the grade, but must be at least $5 \%$ af the grade;
-the praject can account for up to $25 \%$ of the grade, but must be at least $5 \%$ af the grade;
-the mid-term and final must each accaunt far betwen $10 \%$ and $40 \%$ of the grade but cannot accaunt far mare than $7 \%$ of the grade when the percentages are cambined; and
-the project and final exam grades may not collectively constitute more than $50 \%$ of the Iratade. Formulate an LP model for Robert to maximize his numerical grade.

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Definitions:

Null Hypotheses

Hypotheses that state there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.

Main Effect

The direct influence of an independent variable on a dependent variable in an experiment, ignoring the effects of all other independent variables.

Factorial ANOVA

A statistical method designed to evaluate the impact of two or more variables acting independently at various levels on an outcome variable.

Interaction Effect

Occurs when the effect of one independent variable on the dependent variable changes depending on the level of another independent variable.