A util is the unit of utility measuring satisfaction or happiness. Assume that you have two consumption choices: gum and chocolate - each the same price. Each piece of chocolate will give you 4 utils of utility. The utility schedule of gum is given below. If you want maximize utility how many pieces of gum should you consume per day? .

  Pieces of gum consumed per day    0    1    2    3    4    5    6    7    8    9    10  
  Total utility    0    28    51    67    73    83    89    92.5    95    97    98