The graph shows the Taguchi loss function for the speed of cassette tapes in a handheld recording device. The target speed is $1\mathrm{.}875$ inches per second. Based on past data, the company expects that repair costs under warranty will be $$20$ if the actual speed is as slow as $1\mathrm{.}725$ or as fast as $2\mathrm{.}025$ inches$/$second$.$ When the graph loads, it shows the design specifications when it costs $$5$ to have a technician inspect tape speed and readjust it to the target before shipping. Speeds between the two indicaed values would be expected to generate less loss in warranty claims than the $$5$ it would cost to adjust them to the target speed. So$,$ recorders with speeds outside that range would be adjusted, while those with speeds inside that range would not.

Drag on the graph to change the design specification range and observe the corresponding cost estimate.