Tintin is a young Belgian reporter and an adventurer. He is currently in Shanghai, China, working on his case, "The Blue Lotus", with his wire fox terrier, Snowy. In the midst of his busy schedule, Tintin needs to figure out what to eat for lunch. His aim is to maximize his utility/satisfaction level from consuming the meal.

Tintin has two food choices available to him: one of China's famous noodles dish, Dandanmian, and some pearl meatballs, a delicious dish from central China.

Tintin is a young and busy reporter with a healthy appetite. He needs to find out the optimal number of noodles servings and meatballs servings that will maximize his satisfaction from lunch.

Let one small bowl (i.e., one serving) of dandanmian be denoted by X1, and the price of one serving to be 3 Chinese yuan.

Let one serving of pearl meatballs be denoted by X2 and the price of one serving to be 4 Chinese yuan.

Tintin has 24 yuan available as his lunch money. His utility function is given by the following utility function; U(X1, X2) = 6X1X2.

QUESTION:

What is Tintin'stotal level of utilitywhen he buys and consumes the optimal combination of noodles and meatballs?