(How a math problem changed its look)


Up to the 1960's
A peasant sells a bag of potatoes for $10. His costs amount to 4/5 of his
selling price. What is his profit?

In the early 1970's
A farmer sells a bag of potatoes for $10. His costs amount to 4/5 of his
selling price, i.e., $8. What is his profit?

1970's (new math)
A farmer exchanges a set P of potatoes with a set M of money. The
cardinality of the set M is equal to $10 and each element of M is worth $1.
Draw 10 big dots representing the elements of M. The set of production cost
is comprised of 2 big dots less then the set M. Represent C as a subset of
M and give the answer to the question: What is the cardinality of the set of
profits?

1980's
A farmer sells a bag of potatoes for $10. His production costs are $8 and
his profit is $2. Underline, the word "potatoes" and discuss with our
classmates.

1990's
A farmer sells a bag of potatoes for $10.00. His production costs are 0.80
of his revenue. On your calculator graph revenue versus costs. Run the
"POTATO" program on your computer to determine the profit. Discuss the
result with the other students in your group. Write a brief essay that
analyzes how this example relates to the real world of economics.



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