The shape of the power curve for a sprinter is said to be the same for many riders.  If this is so, one should be able to "create" a Power Profile from maximum and average power.  Wingate test results often only report maximum and average power.  Such values can be used to recreate a Power Profile.  Also, a person may want to estimate maximum and average power values and use the resulting Power Profile to answer "What if" questions.

Sample Power Profile, given maximum power, average power, time at maximum power, and period of Power Profile: