A Mathematical Perspective: Focus during Weekdays should be on Supply for the Sabbath a Support for Workable Competition

This paper proves mathematically in an original theoretical model the common sense and intuitive
proposition that consumers are better off when they have more food for the Sabbath at the expense
of having less food for the other six days of the week. I prove the conditions of shifting consumption
from off peak to peak times will necessarily add to consumer surplus. Like the manna that fell from
heaven for forty years in the desert — an omer to a person, Sunday through Friday with double
portions on Friday — my model assumes that consumers buy standardized semi-perishable food
baskets, one basket per person per day, Sunday through Friday with extra baskets for the Sabbath.
In my model I analyze benefits to consumers according to two alternative pricing schemes, whereby
consumer expenditures and weekly food consumed are the same. I prove that consumers are better
off according to the pricing scheme that allows for more food for the Sabbath day. The significance of
my proof is to urge social focus on increasing and prolonging cyclical peaks. My proof supports John
M. Clark’s workable competition thesis.