Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon lime soda to make 12 cups he pays $3.00 for a 2 liter container of lemon lime soda and $4.00 for a quart of sorbet what is the minimum amount he should charge per cup of punch to make a $10.00 profit?
First, we need to determine the total cost of the ingredients. Since Rafael needs 2 liters of lemon lime soda and each 2 liter container costs $3.00, the total cost of the soda is 2 * $3.00 = $<<2*3=6.00>>6.00.
Similarly, since Rafael needs a gallon of sorbet and each quart costs $4.00, the total cost of the sorbet is $4.00 * (1 gallon / 1 quart) = $<<4*1=4.00>>4.00.
Next, we need to convert the gallon of sorbet to cups. Since a gallon is equal to 4 quarts and there are 4 cups in each quart, a gallon is equal to 4 * 4 = <<4*4=16>>16 cups.
Therefore, the total cost of the sorbet per cup is $4.00 / 16 cups = $<<4/16=0.25>>0.25 per cup.
Now, we need to calculate the total cost of the ingredients per cup of punch. Since Rafael needs 12 cups of punch, the total cost of the ingredients per cup is ($6.00 + $4.00) / 12 cups = $10.00 / 12 cups = $<<10/12=0.8333333333333334>>0.83 per cup.
Finally, to make a $10.00 profit, Rafael should charge a minimum of $0.83 + $10.00 = $<<0.83+10=10.83>>10.83 per cup of punch. Answer: \boxed{10.83}.