Problem

Specify the details of an energy-saving lighting system that would allow the gymnasium des...

Specify the details of an energy-saving lighting system that would allow the gymnasium described in Example 5.8 to be used for movement-minimal assemblies.

Example

The Gymnasium Lighting System

A small town renovated its high-school gymnasium. The new facility included dual-use seating to accommodate assemblies as well as physical education classes and sporting events. As part of an overall energy-saving strategy, the overhead lights were equipped with motion detectors. In the absence of motion on the central gym floor, the lights would gradually dim and turn off.

The new gym was a huge success. The first time the room was used for a general assembly, however, a critical design flaw was discovered. A very famous speaker had been invited to address the student body on an important social issue. The speaker’s podium was set up at one end of the room, and students and faculty sat on the sides in bleachers and chairs. Ten minutes into his speech, the lights began to dim, eventually leaving the entire assembly in darkness. The motion detectors, sensing no movement in the center of the gym, proceeded to turn off the lights under the mistaken conclusion that the room was empty. By the way, the design engineers had failed to provide a manual override for the motion detectors. The assembly continued in darkness.

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Solutions For Problems in Chapter 5.4