# Optimizing Load per Time

## Bird Feeding

We have a bird searching for food to bring back to its young. The blue distance from A to B represents the amount of time it take to get to the nest to the hunting grounds and back again. The purple distance (x-coordinate of C) is the amount of time spent searching for food. The y-coordinate of C is the amount of food found to be brought back to the nest. The bird wants to minimize the amount of food brought back per time.

## Visualizing the Rate

How can we graphically represent the amount of food brought back per time?

## Graphically Finding the Optimal Position

Manipulate the position of C to find the optimal position. What can we say about the red line at this point?