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 byX_1,and the price of one serving to be3Chinese yuan.

Let one serving of pearl meatballs be denoted byX₂and the price of one serving to be4Chinese yuan.

Tintin has24 yuanavailable as his lunch money. His utility function is given by the following utility function; U(X₁, X₂) = 6X₁X₂.

Can you help Tintin find hisoptimal "noodles-meatballs" consumption bundle? Before you do that, answer the following questions.

Q. 1 Can you calculate the numerical value of Tintin'smarginal rate of substitutionfor the following values of X₁and X₂:

X₁= 1 and X₂= 1?

Group of answer choices

a. 2

b. 1/2

c. 6

d. 1

Q2. What is theslopeof Tintin'sbudgetline?

Group of answer choices

a. 2

b. 1/2

c. 1/3

d. 3/4

Q 3. If Tintin ends up choosing2 bowls of noodles (X₁)and2 servings of meatballs (X₂), do you think he will be able tomaximizehis utility level?

Group of answer choices

a. Yes, Tintin will maximize his utility if he chooses this bundle.

b. No, Tintin will not maximize his utility level if he chooses this bundle.

c. Maybe.

Q4. Question 13

1pts

With the help of your knowledge of microeconomic theory, can you find the consumption bundle that willmaximize Tintin's utilityfrom his lunch?

Group of answer choices

a. X1 = 0, X2 = 4

b. X1 = 2, X2 = 2

c. X1 = 3, X2 = 4

d. X1 = 4, X2 = 3

Q. 5. What is Tintin'stotal level of utilitywhen he buys and consumes the optimal combination of noodles and meatballs?

Group of answer choices

a. U = 48

b. U = 60

c. U = 64

d. U = 72