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Suppose a change in income of $5,100 causes a change in consumption of $2,600.
What is the MPS?
-
0.51
-
0.49
-
0.31
-
0.69
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- Find consumption if income is $300 and APC is 0.43EXERCISE 7 Aisha is considering how to allocate the next 6 hours of her free time. She could choose between leisure (L) and helping her neighbour with the house chores. If she decides to help her neighbour, she is going to get paid at £25 per hour, which she can then spend on her favourite pizza (P). Suppose the price of pizza is £12.50. Aisha's preferences for leisure and pizza are given by the following utility function: U(L, P) = 3L + P. (MU₁ = 3, MUp = 1). a) Write down Aisha's budget equation and draw the corresponding budget line. Clearly label the axes and calculate the coordinates of the points of intersection of the budget line with each axis. b) Calculate Aisha's marginal rate of substitution between leisure and pizza. Explain the concept of MRS and interpret the figure obtained. c) Find Aisha's optimal consumption bundle, both algebraically and graphically. Explain your reasoning. d) Would Aisha's optimal choice change if she could get a discount on her pizza purchases so…Question 2 David spends his budget on chocolate and chip. His utility function is given by ?(?1,?2)= 2?1?2, where ?1 is the number of chocolates he consumers per week, and ?2 is the number of chips he buys per week. A chocolate costs 10 SEK, and a chip costs 20 SEK. David’s weekly budge for consuming on these two goods is 120 SEK. (1) What is David’s budge line? Draw the budget line on a graph with chocolate amounts on the horizontal axis and chip amounts on the vertical axis. Write explicitly at which points budget line crosses the axis. (2) What is David’s marginal utilities for the two goods, respectively? What is his marginal rate of substitution between the two goods? (3) What is David’s optimal choice? Calculate the numerical answer for the optimal bundle. Also draw an indifference curve for David on the same graph as question(1) and show the optimal bundle.
- A consumer prefers to consume 1 unit of x with each unit of y. if the price of x is $12 and the price of y is $4 , and he has income of $120, what is the optimal pair (x*,y*) to consume? a. (12,12) b. (20,20) c. (22,22) d. (40,40)Donald likes fishing (X1) and hanging out in his hammock (X2). His utility function for these two activities is u(x1, x2) = 3X12X24. (A) Calculate MU1, the marginal utility of fishing. (B) Calculate MU2, the marginal utility of hanging out in his hammock. (C) Calculate MRS, the rate at which he is willing to substitute hanging out in his hammock for fishing. (D)Last week, Donald fished 2 hours a day, and hung out in his hammock 4 hours a day. Using your formula for MRS from (c) find his MRS last week. (E) This week, Donald is fishing eight hours a day, and hanging out in his ham mock two hours a day. Calculate his MRS this week. Has his MRS increased or decreased? Explain why? (F) Is Donald happier or sadder this week compared to last week? Explain.Find income if consumption is $310 and APC is 0.33
- You have an income of $100,000. You can buy an electric car (which costs $60,000) or an internal- combustion car (which costs $30,000). The electric car has a lower mileage than an internal-combustion car: it costs you $1/km if you drive an electric car, but it costs you $2/km if you drive an internal- combustion car. You enjoy driving (measured in kilometers driven) and spending on other goods ( measured in dollars). Draw your budget line (in a diagram measuring all other goods on the vertical axis) if you buy an electric car. What is its slope and what is the economic meaning of its value?T/F Normal goods demand increase with the increase in the income of the consumer and vice versa.Your own a chocolate producing company which can advertise on both television (T) and internet(I). The effect of TV and online commercials on sales is again given byS(T,I) = 500 + 48T−6T2+ 112I−6I2+ 4TI. You have a budget of $25 that you can spend on T and I. The price of aTV commercial is $12per unit and the price of an online commercial is also $12 per unit. 1. Determine the optimal level of TV commercials T and online commercials I if you have to spend all of your budget. You should provide two methods to solve this, by direct substitution and by setting up the Lagrangian. Is the Lagrange multiplier positive or negative? Give an intuitive interpretation of why this is the case? 2. Now determine the optimal level of TV commercials T and online commercials I if you DO NOT have to spend all of your budget. Do you obtain the same answer as subquestion 5.1? What is the Lagrange multiplier equal to in this case? Discuss.
- A consumer is choosing between magazines and books. His set of consumer optimums are shown on the graph to the right. 50 Consumer income allocated for these two goods is equal to $150. The price of 45 magazines (P,) is equal to $5.00. 40- How do these changes in the price of books affect the demand for magazines? 35- 30- 25 NN 20- demand remains constant 15- PCC demand increases 10- 5- demand decreases 0- Ó 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 Books étv 21 MacBook Air 80 DII F5 F6 F7 F8 F9 F10 F1 F2 F3 ! @ $ & * 1 2 3 4 6. 7 Q W E T U A S F H. J K L C V M option command command op ...- * C0 Magazines DQUESTION 11 If the budget equation is the following 19594 x1 +8525 x2 = 10269. What is the maximum amount of x₁ that the consumer can buy? Save AllTom's income is 32. He consumes a single consumption good, C, which has a price of 2. His utility function depends on his marital status: when happily married, his utility is given byU=C^(1/2) When he is not married, his utility is given by U=0.5C^(1/2) a. Suppose that Tom is not currently married. What is his utility? Now suppose that Tom gets married.What is his utility? Assume Tom can spend all his income on his own consumption when he is married. b. Use compensating variation (CV) and equivalent variation (EV) to calculate the value of marriage to Tom. How do the two figures compare?