Doc is particularly interested in the last question posed by his supervisor, "does the dye meet the adi (accepted daily intake) values accepted in the united states? " .

Yes, ADI (Accepted Daily Intake) values are accepted in the United States.

ADI is a result of toxicity studies or other toxicology information for direct food additive or color additive used in food. The ADI is based on the dose  level of the additive in animal studies that was shown to cause no adverse effect, multiplied an appropriate safety  factor (often 1/100). Prolonged ingestion of the additive at the ADI value is considered  cause no harm.

here is table 2-2:

country

percent of eligible voters that voted

rank

united states

44.9%

138

canada

60.1%

107

costa rica

84.6%

14

hungary

66.9%

82

japan

57.0%

118

egypt

27.7%

159

south africa

85.5%

10

ans is no, the data set cannot be plotted as a single circle graph