A lighthouse is 8 miles off a straight coast and a town is located 18 miles down the seacoast. Supplies are to be moved from the town to the lighthouse on a regular basis and at a minimum time. If the supplies can be moved at the rate of 7 miles/hour on water and 25 miles/hour over land, how far from the town should a dock be constructed for shipment of supplies? 
Definitions:
F Statistic
The F statistic is used in statistical testing to compare the variances among group means to decide if they significantly differ from each other.
Two-Way ANOVA
A statistical test used to determine the effect of two nominal predictor variables on a continuous outcome variable.
Interaction
A statistical term describing a situation in which the effect of one explanatory variable on the response variable depends on the level of another explanatory variable.
Main Effects
In statistics and experimental design, the direct impact of an independent variable on a dependent variable, disregarding interactions with other variables.
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