consumer has $300 to spend on goods X and Y. The market prices of these two goods re P, = $15 and P, = $5. (L02) What is the market rate of substitution between goods X and Y? Illustrate the consumer's opportunity set in a carefully labeled diagram. Show how the consumer's opportunity set changes if income increases by $300. How does the $300 increase in income alter the market rate of substitution between goods X and Y?
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- E1 Suppose the Federal Government issues $100 worth of food stamps to everyone in your city. These stamps are coupons that can be exchanged for $100 worth of food at the grocery store and they can be used only by the person to whom they are issued. Draw your budgetline between “food’ and “all other goods” both before and after the food stamps are issued. Assume the price of food = price of “all other goods” = $1.00 and the individual’s initial income is $200.Q30 The marginal rate of substitution is the... a. Rate of substitution between the marginal values of any two goods. b. Rate of substitution between the total utility of any two goods. c. Substitution of one good for another as we move along the budget line. d. Amount of one good the consumer is willing to give up in exchange for another to keep total expenditure unchanged. e. Amount of one good the consumer is willing to give up in exchange for another to remain indifferent.Matthew said that he is exactly indiffferent between consuming four slices of pizza and one beer versus consuming three slices of pizza and two beers. He also said that he prefers a bundle consisting of one slice of pizza and three beers to either of the first two bundles. Do Matthew's preferences exhibit diminishing marginal rate of substitution?
- Antonio buys five new college textbooks during his first year at school at a cost of $80 each. Used books cost only $50 each. When the bookstore announces that there will be a 50 percent increase in the price of new books and a 50 percent increase in the price of used books, Antonio's father offers him $200 extra. What happens to Antonio's budget line? 1.) Using the line drawing tool, graph Antonio's original budget line. Label this line L1. 2.) Using the line drawing tool, then graph Antonio's new budget line. Label this line L2. Carefully follow the instructions above, and only draw the required objects.Suppose that the price of commodity Y is $ 20 per unit while the price of commodity X is $ 15 per unit and suppose that an individual’s money income is $ 100 per period and is all spent on X & Y. Draw the budget constraint line for this consumer at the initial point. If the price of X decreases to $10, incorporate BL2 showing change in the Budget line.Suppose that the price of commodity Y is $2 per unit while the price of commodity X is $4 per unit and suppose that an individual’s money income is $100 per time period and is all spent on X and Y. Draw the budget constraint line for this consumer at the initial point. 2.If the price of Y decreases to $3, incorporate BL2 showing change in the Budget line.
- Mrs. Griffiths earns $5000 a week and spends her entire income on dresses and handbags, since these are the only two items that provide her utility. Furthermore, Mrs. Griffiths insists that for every dress she buys, she must also buy a handbag. Suppose the price of a dresses increases to $200 and income decreases to $4200. What is the new algebraic equation for Mrs. Griffiths budget constraint? Show the impact of the new budget line relative to the original budget line. What would be the new marginal rate of substitution that corresponds to the optimal consumption choice? Interpret the marginal rate of substitution. Assume for this question only that when the price of dresses decreases, less of that good is demanded. Illustrate the income and substitution effect of this price decrease.Katie’s preferences for consumption and leisure can be expressed as U(C, L) = (C – 80) x (L – 40) This utility function implies that Katie’s marginal utility of leisure is C – 80 and her marginal utility of consumption is L – 40. There are 110 hours in the week available to split between work and leisure. Katie earns $15 per hour after taxes. She also receives $200 worth of assistance benefits each week regardless of how much she works. Graph Katie’s budget line. What is Katie’s marginal rate of substitution when L = 70 and she is on her budget line? What is Katie’s reservation wage? Find Katie’s optimal amount of consumption and leisure.Scenario 16.1: Irrespective of the amount of cheese doodles and pretzels that Sam consumes, his marginal rate of substitution of cheese doodles for pretzels is 2. Also, irrespective of the amount of cheese doodles and pretzels that Sally consumes, her marginal rate of substitution of cheese doodles for pretzels is 3. Refer to Scenario 16.1. Suppose instead that Sam is initially allocated 3 cheese doodles and 3 pretzels, whereas Sally is initially allocated 6 cheese doodles and 10 pretzels. Which of the following statements is TRUE? A. The allocation is not Pareto optimal as Sally would be willing to exchange two pretzels for one cheese doodle and be better off, without making Sam worse off. B. This allocation is Pareto optimal. C. The allocation is not Pareto optimal as Sam would be willing to exchange one pretzel for two cheese doodles and be better off, without making Sally worse off. D. This allocation is not Pareto optimal as Sally and Sam have unequal amounts of each good.
- NOTE: THIS IS FOR A NON-GRADED QUIZ. Louis has stable preferences and consumes two goods, wine and cheese. In 1994, the price of wine was $4/glass and the price of cheese was $2/ounce. Louis's income was $60 and he bought 12 glasses of wine and 6 ounces of cheese. In 1995, wine costs $2/glass and cheese costs $4/ounce. Louis's income is still $60. a. Draw both years' budget lines. Where do they cross? b. What is Louis's marginal rate of substitution of wine for cheese in 1994? [hint: you can't use calculus]Mary has two dinner options available: eating a home cooked meal for $150 per meal, or at a restaurant for $260 per meal. Her weekly budget is $2500.iii. What would be the marginal rate of substitution at the point thatcorresponds to the optimal consumption choice? Interpret the marginalrate of substitution. 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 substitution.Anna is a Vancouverite who starts off her day drinking either a coffee or a bubble tea. From her part-time job, she has earned P15 that she can spend on either coffee or bubble tea over a month. A coffee costs P1, and a bubble tea costs P1. Draw her budget line, with bubble tea on the y-axis. If she chooses to drink only coffee or only bubble tea for one month, how many of each can she drink?