Fizzyr Company produces sixpacks of soda cans. Each can is supposed to contain at least 12 ounces of soda. If the total weight in a sixpack is less than }'2 ounces, Fizzyr is ned $100 and receives no sales revenue for the sixpack. Each sixpack sells for $3.00. It costs Fizzy $0.02 per ounce of soda put in the cans. Fizyr can control the mean ll rate of its sodalling machines. The amount put in each can by a machine is normallyr distributed with standard deviation 0.10 ounce. a. Assume that the weight of each can in a sixpack has a 0.8 correlation with the weight of the other cans in the six-pack. What mean ll quantityr maximizes expected prot per six-pack? Tr',r mean || rates from 12.00 to 12.35 in increments of 0.05. With correlated values. the mean prot is maximized for a large mean ll rate of 0. b. If the weights of the cans in die sixpack are prolJalJilisticall}.r independent, what mean ll quantityr maximizes expected prot per sixpack? Try the same mean ll rates as in part a. With uncorrelated values,the mean prot is maximized for a large mean ll rate of 0