Question

In: Economics

Suppose that Tom considers 12.3 units of good x to be a perfect complement for 17.86...

Suppose that Tom considers 12.3 units of good x to be a perfect complement for 17.86 units of good y. Write down a utility function that represents Tom’s preferences. What is the slope of the Tom’s income expansion path?

Solutions

Expert Solution

U(x, y) = min{17.86x, 12.3y}

For such functions, 17.86x = 12.3y (As they are always consumed together.)
So, y = (17.86/12.3)x

Slope of income expansion path = dy/dx = 17.86/12.3 = 1.45


Related Solutions

Assume that 7 units of good x are a perfect substitute for 11 units of good...
Assume that 7 units of good x are a perfect substitute for 11 units of good y. Which utility function describes this situation? A. ?^7?^11 B. ?^11?^7 C. 7x+11y D. 11x+7y E. ??? ( ?/7 , ?/11) F. ??? ( ?/11 , ?/7 )
Suppose a consumer buys 20 units of good X and 10 units of good Y every...
Suppose a consumer buys 20 units of good X and 10 units of good Y every year. The following table lists the prices of goods X and Y in the years 2005–2007. Assume that these two goods at the mentioned consumption constitute the typical market basket. Calculate the price indices for these years with 2005 as the base year and complete table. What is the inflation rates for 2006 and 2007? Compared to 2005, was inflation higher in 2006 or...
An agent considers good 1 and good 2 "perfect substitutes" and thus her preferences can be represented by the utility function u (x,y) = 4x + 2 y.
An agent considers good 1 and good 2 "perfect substitutes" and thus her preferences can be represented by the utility function u (x,y) = 4x + 2 y. The agent starts with $10. Use this information to answer the following questions. (a) What is the slope of this agents indifference curves (i.e. the mrs)? Hint: You do not need to use calculus if you solve for the equation of an indifference in slope-intercept form. (b) What is the maximum price at which...
Good 1 and Good 2 are perfect substitutes. Suppose that good 1 is an ordinary good....
Good 1 and Good 2 are perfect substitutes. Suppose that good 1 is an ordinary good. a. Should both good 1 and good 2 be normal goods? b. Should good 2 be an ordinary good? Explain using income effects and/or substitution effects.
Good 1 and Good 2 are perfect substitutes. Suppose that good 1 is an ordinary good....
Good 1 and Good 2 are perfect substitutes. Suppose that good 1 is an ordinary good. a. Should both good 1 and good 2 be normal goods? Explain. b. Should good 2 be an ordinary good? Explain.
Suppose that Jim uses his budget to purchase 100 units of Good X and 100 units...
Suppose that Jim uses his budget to purchase 100 units of Good X and 100 units of Good Y. When the price of Good X rises, he purchases 55 units of Good X and 95 units of Good Y. An economist calculates his compensated budget and finds that in that scenario, Jim would buy 60 units of Good X and 105 units of Good Y. Calculate the substitution effect. (Remember to include a negative sign (-) if the effect reduces...
Suppose the indifference curves of a perfect substitutes agent have a slope of -9/7. Good x...
Suppose the indifference curves of a perfect substitutes agent have a slope of -9/7. Good x is the numéraire. What would ?? need to be in order to create the “degenerate case” (whereby the agent is indifferent between everything on his budget line)?
Income /substitution effects It is known that Jack considers X to be an inferior good. Graphically...
Income /substitution effects It is known that Jack considers X to be an inferior good. Graphically show his original and new consumption choice after a drop on the price of X. Be sure to decompose into a substitution and an income effect.
Data of a perfect competition market for good X is given by the following supply and...
Data of a perfect competition market for good X is given by the following supply and demand equation: (D) : P = -1/2*Q + 600 (S): P = 1/2*Q + 350 The world price; Pw = 450$ Assume that the country is small and there is free trade. a. Calculate the imported amount of good X, domestic quantity supplied and quantity demanded at the world price. b. Now the government imposes a tax of t = 10$/ imported unit, identify...
Consumer A regards the two goods as perfect complements, always wanting 2 units of good 1...
Consumer A regards the two goods as perfect complements, always wanting 2 units of good 1 for every unit of good s, where as B regards 4 units of good s and 3 units of good 2 as perfect substitutes. Initially, A has 60 units of good 1 and 75 units of good 2, and B has 140 units of good 1 and 25 units of good 2. a) Draw an Edgeworth box (put good 1 on the horizontal axis)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT