5) Use the following statements to answer this question. Please provide correct answer with explanation I. The numerical labels attached to indifference curves are meaningful only in an ordinal way. II. The numerical labels attached to isoquants are meaningful only in an ordinal way. A) both I and II are true. B) I is true, and II is false. C) I is false, and II is true. D) both I and II are false.
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- For this question, assume that indifference curves are strictly convex, consumption andleisure are normal goods, and the optimal amounts of consumption, leisure, and labor arealways positive. A wage increase ______. (SE = substitution effect; IE = income effect)(a) increases labor supply via the SE and decreases labor supply via the IE(b) decreases labor supply via the SE and decreases labor supply via the IE(c) increases labor supply via the SE and increases labor supply via the IE(d) decreases labor supply via the SE and increases labor supply via the IE(e) Can’t tell without knowing the utility function8.Explain why convex preferences means that “averages are preferred to extremes.no 6. Given an indifference curve U, = 100 = FS (F>0 and S>0) df Use the implicit function rule to derive the slope. KHHHHHI WE WE WE WE WEREW BERE BERE BERE BE be be bebe bebe bH XXXX curve. b) At S = 144, Calculate the slope. of the indifference. ****************** HNNNNNN) NNNNNN IHNE (HHM)
- Consider the relationship y = f(x). In this relationship: %3D Oa. y is called the independent variable and x is called the dependent variable. O b. y is called the range and x is called the domain. O c. yis called the dependent variable and x is called the independent variable. O d. y is called the domain and x is called the range.In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/4b³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is T. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume = 0.5. Knowing that bad weather…Please explain two principal variables that have determined the commodification by giving examples.
- In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/46³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is π. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume π = 0.5. Knowing that bad weather…If the slope of indifference curve is -0.8 and the change in X axis is 8, what is the change in Y axis? Select one: a. - 10 b. 10 c. - 0. 1 d. - 6.4Question 3Draw indifference curves for the following sets of preferences and indicate the direction inwhich the individuals’ satisfaction (or utility) is increasing. Be specific about slopes when itis necessary. Assume for both parts (a) & (b) that soft drinks are measured on x-axis andhamburgers on the y-axis. (a) Mary always gets twice as much satisfaction from an extra hamburger as she does froman extra soft drink. (b) Bob loves soft drinks but dislikes hamburgers.
- On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according tothe functionU(c, b) = 20c− c²+ 18b − 3b²a. How many cigars and glasses of brandy does he consume during an evening? (Cost isno object to J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum ofglasses of brandy and cigars consumed to 5. How many glasses of brandy and cigarswill he consume under these circumstances?The value in Y axis has changed from 13.54 to 11.78 and the value in X axis has changed from 9.96 to 4.14, what is the slope of the indifference curve at this point? a. 0.30 b. -3.31 c. -8.01 d. 11.22Graph and explain indifference curves for the following situations:(i) An individual has constant marginal utility toconsumption in both periods.(ii) An individual does not derive utility from this period’sconsumption, but does from the next period’sconsumption.(iii) An individual’s utility decreases with consumption inboth periods.