Reference: For questions 19 to 25, refer to the information given below about Mr. Thomas O'Malley's preferences:

Mr. Thomas O'Malley has a utility function given by U = 6X +2Y where X and Y are two consumption goods.

The price of X is $2 and the price of Y is $1.

Mr. O'Malley has $12 to spend on the two goods.

19. What is Mr. O'Malley's budget equation?

a. 12 = 6X+2Y

b. 12 = 6X + Y

c. 12 = 2X + 2Y

d. 12 = 2X + Y

20. What type of preferences does Mr. O'Malley have over X and Y?

a. The utility function exhibits Cobb Douglas preferences

b. The utility function exhibits that goods are perfect complements for the consumer.

c. The utility function exhibits that the goods are perfect substitutes for the consumer.

d. The consumer has lexicographic preferences for the two goods.

21. What is the marginal utility of X?

a. 2

b. 6

c. 3

d. 1/6

22. What is the marginal utility of Y?

a. 2

b. 6

c. 3

d. 1/6

23. What is Mr. O'Malley's marginal rate of substitution?

a. 2

b. 1/2

c. 1/3

d. 3

24. What is the slope of Mr. O' Malley's budget line?

a. 2

b.

c. 1/3

d. 3

25. If Mr. O'Malley wants to maximize his utility from consumption of X and Y, given his budget of $12, which combination of goods should he choose?

a. X = 6, Y = 0

b. X = 3, Y = 3

c. X = 0, Y = 12

d. X = 6, Y = 2