
Let
S equal the total amount of sarcasm, where
a is the initial post, and
b represents the locking post, graphed as a function of
x, namely
f(x), where
x represents the time wasted seeking such answers here, and
y represents the OP's average frustration quotient, or FQ. Note that frustration vs. time wasted produces a sinusoidal wave of expectancy that the question may be answered correctly, which forms the upper limit of the area of sarcasm.