)ncob buys only milk and cookies.a. In yeor 1, Jocob earns $100, milk costs $2 perqua rt, and cooki es cost S4 per dozen. Ora\"•jacob's budget constraint.b. Now suppose that a ll prices increase by10 percent in yeor 2 ond !hot jacob's salaryincreases by 10 percent as well. Draw jacob'sn<:w budget constraint. How would Jacob'soptimnl combination of milk and cookies in year 2compare to his optimal combination in year 17
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| )ncob buys only milk and cookies. a. In yeor 1, Jocob earns $100, milk costs $2 per qua rt, and cooki es cost S4 per dozen. Ora\"• jacob's budget constraint. b. Now suppose that a ll prices increase by 10 percent in yeor 2 ond !hot jacob's salary increases by 10 percent as well. Draw jacob's n<:w budget constraint. How would Jacob's optimnl combination of milk and cookies in year 2 compare to his optimal combination in year 17 |
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- Draw Maries budget constraint with pies on the horizontal axis and magazines on the vertical axis. What is the slope of me budget constraint?As a college student you work at a part-time job, but your parents also send you a monthly allowance. Suppose one month your parents forgot to send the check. Show graphically how your budget constraint is affected. Assuming you only buy normal goods, what would happen to your purchases of goods?a. Andre has a salary of $1000. He spends his entire budget on shoes and beers.The cost for a pair of shoes is $15 and the cost for can of beer is $25.i. Construct Andre’s budget constraint (place) beers on the y-axis. ii. Suppose Andre’s salary rises by 25%. Also suppose that the price ofshoes and beers each rise by 40%. Construct Andre’s new budget constraint. What is the difference between the new and old budgetconstraints? iii. Suppose that the price of beers fell from $25 per beer to $15. ConstructAndre’s new budget constraint. What is the difference between the newand old budget constraints.
- a. Andre has a salary of $1000. He spends his entire budget on shoes and beers.The cost for a pair of shoes is $15 and the cost for can of beer is $25.i. Construct Andre’s budget constraint (place) beers on the y-axis. [4marks]ii. Suppose Andre’s salary rises by 25%. Also suppose that the price ofshoes and beers each rise by 40%. Construct Andre’s new budget constraint. What is the difference between the new and old budgetconstraints? [4 marks]iii. Suppose that the price of beers fell from $25 per beer to $15. ConstructAndre’s new budget constraint. What is the difference between the newand old budget constraints. [4 marks]b. Explain the relationship between the budget constraint and indifference curveat consumer optimum. [3 marks]b. Mary has two dinner options available: eating a home cooked meal for $150 permeal, or at a restaurant for $260 per meal. Her weekly budget is $2500.iv. Suppose the price of a home cooked meal increases to $200 and incomeincreases to $4200. Show the impact of the new budget line relative to theoriginal budget line. What would be the new marginal rate of substitutionthat corresponds to the optimal consumption choice? Interpret themarginal rate of substitutionEren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
- Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).Maya divides her income between coffee andcroissanls (both of which arc normal goods). An earlyfrost in Brazil causes a large increase in the price ofcoffee in the U nitcd Stites.a. Show the eflcct ol the frost on Maya's budgetconstraint.b. Shm" the effect ol the frost on Maya's optinu,loonsumption bwl<ile assunling that the substitutioneflcct outweiglls the income effect for croiss:mls.c. Show the eflcct of the frost on Maya's optimalconsumption bw,dle assuming that the incomeeffect outweighs the substitution effect forcroissantsa. Andre has a salary of $1000. He spends his entire budget on shoes and beers. The cost for a pair of shoes is $15 and the cost for can of beer is $25. i. Construct Andre’s budget constraint (place) beers on the y-axis.ii. Suppose Andre’s salary rises by 25%. Also suppose that the price of shoes and beers each rise by 40%. Construct Andre’s new budgetconstraint. What is the difference between the new and old budget constraints? iii. Suppose that the price of beers fell from $25 per beer to $15. Construct Andre’s new budget constraint. What is the difference between the new and old budget constraints. b. Explain the relationship between the budget constraint and indifference curve at consumer optimum.
- Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).a halving price of the prices of good A and Good B have the same effects on the budget line as doubling income. is this true or false and how woukld it look like using ana equation of a budget line(a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?
