Myrtle has $400 per month to spend on Transit (X) and all other goods (Y). She currently buys a bus pass for $100 and rides 80 times per month.If she didn't buy the pass, bus rides would cost $2/ride and she would take 20 trips. She is indifferent between the $100 bus pass and $2 per ride. Myrtle is offered to join a Transit program that would allow her to pay a registration fee and then could ride the bus for $1 per trip. The most Myrtle would pay for the membership is $30 and then she would ride 40 times a month. If she were given the membership for free, she would ride the bus 45 times per month. Myrtle also reveals that she would be indifferent between a free membership (and $1 per ride) versus simply having the traditional bus pass reduced to $50 per month (flat rate), where she would again choose to ride the bus 80 times a month.
- Using all the information provided, draw all the relevant budget constraints and indifference
curves. Be sure to label all equilibrium points and have a legend that explains each point (in one or two sentences). - Calculate her CV (compensating variation)
- Calculate her EV (equivalent variation)
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- Suppose you have $10, which you can wager in a game called "double or quits." In this game, you roll a fair die. If you roll a 4, 5, or 6, you win the game, getting back your $10 plus $10 more for a total of $20. If you roll a 1, 2, or 3, you lose the game and your $10. Your utility function is shown on the following graph Utility 10 20 Income According to this graph of your utility function, would you be considered risk-averse or a risk-taker? Why? Risk averse because of increasing marginal utility of income Risk taker because of increasing marginal utility of income Risk taker because of diminishing marginal utility of income O Risk averse because of diminishing marginal utility of incomearrow_forwardSuppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas (B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the price of an apple is $1.00 and the price of a banana is $0.25. QUESTION #1: How many apples and bananas should you buy? QUESTION #2: When you have found the answer, draw a diagram that shows the outcome. Step #1. Determine your preferences. Let's suppose that your preferences can be represented by the following utility function: U(A, B) = AªBß = A0.40 B0.60 FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in economics! The reason we like it so much is that it has: 1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1 2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of the A good (or B good); a 0.40); B > a. Step #2: Determine your…arrow_forwardSean is arguing with his girlfriend, Yvette. They have been going out for a little more than two years. YVETTE: I'm leaving you, Sean. Get over it. SEAN: Are you saying that being single will make you happier than you've been with me? Speaking personally, I think the utility we've had in this relationship was much more than you could have had if you'd been single this whole time! YVETTE: I had taken an economics class and the word "utility" rings a bell. It's not that at all. We've had a fine time. It's that the utility I would get by continuing our relationship isn't worth it anymore. SEAN: I've never been dumped by someone citing the law of before. You're a piece of work, you know that? Yvette doesn't hear. She has already walked off, leaving Sean feeling like something of a sunk cost.arrow_forward
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- Terry attends college and works part-time in a drug store. She can work up to 40 hours per week and is paid $9 per hour. With her schoolwork and other responsibilities, she only has 40 hours per week total to devote to work and leisure. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 5 45 35 10 34 10 90 59 15 48 15 135 77 20 56 20 180 86 25 60 25 225 92 30 65 30 270 98 35 69 35 315 103 40 72 40 360 107 Terry decides to decrease her work hours from 20 to 10. What will be her total utility from both leisure and income when working 10 hours per week?arrow_forwardTrue or false. A budget constraint, budget line or budget set is a graphical way to illustrate all possible combinations of two goods that a person can afford.arrow_forwardYour parents give you $500 per month to spend on college expenses or other personal expenses. Your parents change their mind, and decide to make a matching offer. They will give $0.25 for every $1 you spend on college expenses, but only up to $100 extra. Graph the effect of a matching allowance increase of $0.25 for each dollar you spend on college expenses, with a $100 limit, on your budget constraint.arrow_forward
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