this benighted dishwasher, is familiar with the P Propensity Theorem, seeing as he (think grizzled, unshaven guy in the back of the restaurant cleaning plates)
invented it
the need to solve for the need to P, while undertaking prep for the great dishwashing, is mathematically soluble:
N, the number of ***** dishes D%, the variable percentage of how *****, (necessitating pre-scrubbing, or not,) M, the meal, breakfast lunch or supper, (a modifier of N) Ba2, bladder age squared)
formula: if P = N(D%) {M_} b [where M1 is breakfast, M2 is lunch etc.]