Sweet Tooth
by Mathalicious

Marginal enjoyment describes the pleasure someone gets from each individual piece of candy. Total enjoyment describes how much pleasure someone gets from all of the pieces together. Use the graph below to show how the total enjoyment changes as each person eats their ten pieces of candy.

If you could go back and reallocate the siblings’ twenty pieces of candy, how many would you give each sibling? If you included your ten pieces, how would you allocate the thirty pieces of candy? Explain.