Suppose you enjoy renting movies; your marginal benefit curve for watching a certain number of movies is given as MB = 30-3QM, where QM is the number of movies you watch. Suppose your marginal cost curve is fixed at MC = 3, since each movie costs $3 to rent. How many movies should you consume to maximize your net benefit?
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- Basil is a broke college student who consumes only coffee and pizza. No one is really sure how he can survive on those two goods alone, but somehow he does. Coffee is $2 per cup, and pizza is $5 per pizza. Basil's weekly budget constraint is shown below. On the graph below show how his budget constraint would change if Basil gets an additional $10 per week from his grandmother. Coffee (cups per week) 15 14 13 3 210 000 654 120 w 2 -N Budget Constraint 0 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Pizza (number per week)The table shows the marginal benefit that Marcus derives by consuming different quantities of hotdog and soda. The price of a hotdog is $3, and the price of a soda is $1. Soda Marginal Benefits ($) Marginal Benefits ($) 10 ITT 8 6 4 2 1 0.6 What is the optimal combination of Soda and Hotdog for Marcus, if his weekly budget for hotdog and soda is $14? Quantity 2 3 4 5 6 O A. 2 sodas, and 4 hotdogs O B. 3 sodas, and 3 hotdogs O C. 5 sodas, and 3 hotdogs O D. 6 sodas, and 5 hotdogs Hotdog 18 12 6 3 12. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?
- Lee has calculated her marginal utility from buying pizza slices and soda (shown on the table in the worksheet) and wants to use these data to decide how to rationally spend the money she has. The price of pizza is $2.00 and the price of soda is $2.00 question 9 (a) given these prices and your worksheet calculations, what is the first product lee will buy? (b) would lee ever buy four slides of pizza? Why/why not? question 10Given the data in your worksheet, how many pizza slices and sodas lee should buy to maximize her total utility if she rationally spends her budget of 10.00? question 11 when the price of pizza changes, lee's MU/$P changes. If the price of pizza decreases to $1.50 and her budget decreases to $7.50, how many pzza slices and sodas lee should buy to maximize her total utility?The table below shows the marginal benefit that Dan derives by consuming different quantities of tacos and soda .The price of a taco is $3 and the price of soda is $1. Quantity sodas Tacos Marginal benefits ($) Marginal benefits($) 1 10 18 2 8 12 3 6 6 4 4 3 5 2 1 6 1 0.6 Refer to the table above.If Dan consumes 3 tacos and 0 sodas -not necessary his optical choice- how much consumer surplus is he enjoying? a) $ 24 b) $ 27 c) $ 9 d) $67. Bob receives utility from days spent traveling on vacation domestically (D) and daysspent traveling in a foreign country (F) as given by the utilityU(D; F) = DFThe price of a day spent traveling domestically is 160 pounds and in a foreigncountry 200 pounds. Bobís annual budget for traveling is 8000 pounds. (a) Find Bobís utility maximising choice of days traveling domestically and of daystravelling in a foreign country. Find also his utility level from consuming thatbundle. Suppose that the price of domestic traveling increases to 250 pounds per day.Denoting his budget for traveling x, (suppose by now that it is unknown) findthe demand for D and F under the new prices as a function of x.
- A student has a monthly budget of $120 to spend on either burritos, which cost $6 each, orsodas, which cost $4 each.What is the largest number of burritos that the student could afford to purchase in onemonth?What is the largest number of sodas the student could afford to purchase in one month? Draw the student's budget constraint. Put burritos on the x-axis and sodas on the y-axis.Ari intends to purchase a new car and has narrowed it down to a Dodge Ram truck or a Toyota Camry. A Dodge Ram truck costs $55000 while a Toyota Camry costs $20000. The utility that Ari will get from Dodge Ram truck is 12500 while Toyota Camry will generate a utility of 2500. Note: A purchase generating utility tells us the marginal utility of the good. What is the Marginal Utility per Dollar for Dodge Ram truck? What is the Marginal Utility per Dollar for Toyota Camry? Will Ari be better off buying a Dodge Ram truck or a Toyota Camry? ODodge Ram truck OToyota Camry AEXERCISE 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…
- 1. A consumer has an income of $3024 to spend each day. The only two goods the consumer is interested in purchasing are goods A and B. The marginal-utility schedules for these two goods are shown in the table below. The price of B does not change and is $378. The marginal utility per dollar from B is also shown in the table. But the price of A varies as shown in the table. The marginal utility per dollar from A when the price of A is $1512 and $756 is shown in the following table. Good A Good B Quantity MU MU/$1512 MU/$756 MU MU/$378 1 24 2 15 3 12 4 8 5 6 6 4 48 32 24 16 8 4 ||||| ||||| |||3. Suppose Mary enjoys Pepsi and Coke according to the functionU(P;C) = 4C + 5P. What does her utility function say about her MRS of Coke for Pepsi? What do her indi§erence curves look like? What type of goods are Pepsi and Coke for Mary? If Pepsi and Coke each cost $1 and Mary has $20 to spend on these products, how many units of each product should she buy in order to maximize her utility? Show this utility maximiz- ing combination combination of Pepsi and Coke on the graph. how would her consumption and utility maximizing bundle of Coke and Pepsi change if the price of Coke decreases to 50 cents. 4. Vera is an impoverished graduate student who has only $100 a month to spend on food. She has read in a government publication that she can assure an adequate diet by eating only peanut butter and carrots in the Öxed ratio of 2 pounds of peanut butter to 1 pound of carrots, so she decides to limit her diet to that regime. a) If peanut butter costs $4 per pound and carrots cost $2 per…If something has negative marginal utility, what happens to your total utilitywhen you consume it?