IV. Fizzy Company produces six-packs of soda cans. Each can is supposed to contain at least 12 ounces of soda. If the total weight in a six-pack is less than 72 ounces, Fizzy is ned $100 and receives no sales revenue for the six-pack. Each six-pack sells for $3.00. It costs Fizzy $0.02 per ounce of soda put in the cans. Fizzy can control the mean ll rate of its soda-lling machines. The amount put in each can by a machine is normally distributed with standard deviation of 0.10 ounces. 3. Assume that the weight of each can in a six-pack has a 0.8 correlation with the weight of the other cans in the six-pack. What mean ll quantity maximizes expected prot per six- pack? Try mean ll rates from 12.00 to 12.35 in increments of 0.05. With correlated values, what mean ll rate maximizes mean prot? b. If the weights of the cans in the six-pack are probabilistically independent, what mean ll quantity maximizes expected prot per six-pack? Try the same mean ll rates as in part a. c. How can you explain the difference in the answers to parts a and b