Question

In: Economics

Suppose there is an individual with “well behaved preferences” who consumes bundles of two goods, (X,Y)...

Suppose there is an individual with “well behaved preferences” who consumes bundles of two goods, (X,Y) and this individual is indifferent between bundle 1, (15,3) and bundle 2, (6,12). There is also bundle 3, (10.5, 7.5).

a) List and briefly define the 5 assumptions that define “Well behaved preferences”

b) Between bundles 1 and 3, does the consumer prefer one bundle over the other, or is he indifferent? What about between 2 and 3? Justify your answer mathematically.

Solutions

Expert Solution


Related Solutions

Randy consumes two goods: X and Y.  Randy’s preferences over consumption bundles (X,Y) are summarized by the...
Randy consumes two goods: X and Y.  Randy’s preferences over consumption bundles (X,Y) are summarized by the utility function: u (X,Y) = X3Y. Write algebraic expressions for Randy’s demand functions for goods X and Y to be If PX= 1, PY= 1, and m = 100, what would be Randy’s optimal consumption of goods X and Y? Suppose now that the price of X rises to 3, while the price of Y and income remain unchanged.  What is Randy’s new optimal consumption...
Consider an economy with two goods, x and y. Explain why if a consumer has well-behaved...
Consider an economy with two goods, x and y. Explain why if a consumer has well-behaved preferences over bundles of x and y then the two goods cannot both be inferior goods. (Please answer that easy to understand)
1. Consider the preferences of an individual over two goods, x and y, with prices px...
1. Consider the preferences of an individual over two goods, x and y, with prices px and py and income I. (a) If the individual's preferences can be represented by the utility function u(x,y) =2x1/2 + y, what is the marginal rate of substitution? What does this MRS imply about how this consumer would trade y for x? Are the underlying preferences homothetic (explain)? Graphically illustrate a typical indifference curve and explain how you know the shape. (b) If the...
Kevin has well-behaved preferences and currently has a bundle with positive amounts of two goods. Let...
Kevin has well-behaved preferences and currently has a bundle with positive amounts of two goods. Let x1 and x2 denote the quantities of goods 1 and 2, respectively. Thinking in terms of x1 on the horizontal axis, the absolute value of Kevin’s marginal rate of substitution between the two goods at his current consumption bundle is greater than 3. Using this information, can the theory we have developed so far predict Kevin’s reaction to the following propositions? (Please show all...
An Individual consumes commodity bundles including two goods: P and Q. The satisfaction/value/utility obtained for the...
An Individual consumes commodity bundles including two goods: P and Q. The satisfaction/value/utility obtained for the individual is provided by the following equation – 3*(units of P)^2 + 2*(units of Q). Now answer the following questions a. Compute the utility got the following bundles – (12, 5), (2,7) and (8,5) b. Considering a utility level of 75 units; identify one consumption bundle that provided that level of utility c. Now draw an indifference curve for the individual with an utility...
2. Suppose an individual has quasi-linear preferences goods forxandydescribed by U (x, y) = 4√x+y. Recall...
2. Suppose an individual has quasi-linear preferences goods forxandydescribed by U (x, y) = 4√x+y. Recall this means that MUx=2√x and MU y= 1. Suppose that Px=1,Py= 2 and I= 24. (a) Plot the income consumption curve associated with a change in income from I= 24 to I= 34.(To do this problem, you would need to calculate the optimal consumption associated with eachof these incomes. Or you could look at the solutions to HW #3.) (b) What shape would the...
Mark faces a labor supply decision. His well-behaved preferences over the two goods ‘hours of leisure’...
Mark faces a labor supply decision. His well-behaved preferences over the two goods ‘hours of leisure’ L and ‘consumption’ c can be represented by u = 4 L + c. He has no non-labor income and can choose how many hours to work at the wage rate w per hour. The price per unit of consumption is p, and his available free time is T hours. a) Sketch Mark’s budget set, with axes, intercepts, and slope labeled (these will depend...
A consumes two goods, x and y. A ’s utility function is given by u(x, y)...
A consumes two goods, x and y. A ’s utility function is given by u(x, y) = x 1/2y 1/2 The price of x is p and the price of y is 1. A has an income of M. (a) Derive A ’s demand functions for x and y. (b) Suppose M = 72 and p falls from 9 to 4. Calculate the income and substitution effects of the price change. (c) Calculate the compensating variation of the price change....
You are a consumer who consumes goods X (education) and goods Y (recreation), where the price...
You are a consumer who consumes goods X (education) and goods Y (recreation), where the price of good X is PX and the price of Y is Py. Your income that can be allocated to purchase these two items is M. Questions a. What happens if the price of education rises? Describe the substitution effect and the income effect. b. Derive the demand curve for education.
You are a consumer who consumes goods X (education) and goods Y (recreation), where the price...
You are a consumer who consumes goods X (education) and goods Y (recreation), where the price of good X is PX and the price of Y is Py. Your income that can be allocated to purchase these two items is M. Question a. What happens if the price of education rises? Describe the substitution effect and the income effect. b. Derive the demand curve for education.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT