1. Suppose that you like to consume exactly two hot dogs (h) at every football game (f) that you attend. Additional games and additional hot dogs do not provide any extra utility. (a) Graph three indifference curves for your preferences. Hot Dog Football Games (b) Write a utility function for your preferences.
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- The table below represents how Marco feels about chocolate candy bars. a. Fill in the missing values for total utility and marginal utility. Instructions: Enter your answers as a whole number. Chocolate Candy Bars and Marco's Utility Chocolate Candy Total Utility Bars (utils) 0 0 1 27 2 3 4 5 6 (Click to select) 60 ♦ 76 Marginal Utility (utils) 27 19 Suppose Marco currently has two candy bars. You tell Marco you will give him either a soda, which gives him 28 utils of happiness, or two additional candy bars. b. Which is he likely to prefer? 6 14 Emily goes camping on the weekend and eats marshmallows (M) and crackers (C) there. She wants to match 1 marshmallow with 2 crackers, but does not eat in different proportion (i.e., perfect com- plement). The price of a marshmallow is 10 cents and the price of a cracker is 5 cents, and she spend up to $3 in total. a) Write down a utility function which represents Emily's preferences over marshmallows and crackers. b) How many marshmallows and crackers is she going to consume? (Hint: the first-order conditions will not help; draw the budget constraint and the indifference curves and look at the highest one that intersect the budget constraint). c) What is the exact value of Emily's indirect utility?1. Suppose that there are two breakfast options, pancakes and waffles. Kwame only cares about the calories he gets from his breakfast he wants to consume as much as possible, no matter the food. Suppose that a waffle has thrice as many calories as a pancake. What do Kwame's indifference curves look like, illustrated with waffles on the y axis and pancakes on the x - axis?
- 13. Shawn likes to consume pineapple smoothies and hotdogs. His preferences are represented by the utility function U(x,y) = 34x - x²/2 + y where x is his consumption of pineapple smoothies and y is his consumption of hotdogs. The price of pineapple smoothies is $2 and the price of hotdogs is $1. If the price of pineapple smoothies increases to $6, the change in Shawn's consumer surplus is: A) -144 B) -128 C) -120 D) -112 E) -90Suppose you had a budget of $20.00 and the prices of a burger and a slice of pizza are $4.00 and $2.00 respectively. What is the marginal utility per dollar spent for the fourth burger?Tony is throwing a party at his Fraternity and is trying to choose what booze to buy. A bottle of vodka has three times the alcohol as a six-pack of beer. Assume that Tony only cares about the total amount of alcohol in his basket. (use vodka on the X-axis and beer measured in six-pack on the Y-axis) a) Devise a utility function to represent these preferences. b) Suppose a bottle of vodka costs $40, a six-pack of beer costs $10, and the budget is $200. Write the budget constraint. c) Solve Tony’s utility maximization problem and find the optimal combination. d) Suppose that a bottle of vodka cost has increased to $50. What will be his new optimal combination.
- Matt has $14 to spend on fruit today at the grocery store. The only fruits he likes are apples and oranges. Both cost $2 per pound. Matt's preferences between these fruits are presented in the table below. How many apples and oranges will he buy if he were a utility maximizer? a b с Pounds of Apples 1 2 3 4 5 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. d Pounds of Oranges 1 2 3 4 5 Apples = 1 pound, Oranges = 2 pounds Apples = 2 pound, Oranges = 5 pounds Apples = 1 pound, Oranges = 1 pound Marginal Utility from Apples Apples = 3 pounds, Oranges = 3 pounds. 200 300 380 440 480 Marginal Utility from Oranges 100 200 250 280 300Kim has $40 per week in her entertainment budget. She splits her time between going to the movies and yoga classes. Each movie costs $10 while each yoga class costs $5. a. Graph Kim’s budget constraint, with movies on the x-axis and yoga on the y-axis. What is the value of the x-intercept? What is the value of the y-intercept? What is the slope of this budget constraint? Suppose the total utility from each of these activities is listed in the table below. What is Kim's utility maximizing point? Movies Total Utility Yoga Classes Total Utility 0 0 0 0 1 40 1 30 2 70 2 55 3 90 3 75 4 95 4 90 5 100 5 100 6 105 6 105 movies and yoga classes How much total utility does she obtain from this combination? c. Suppose the price of movies drops to $5 each. What is her new optimal consumption choice? The new slope of her budget constraint is? Kim will choose to consume how many movies and how many yoga…How do your total and marginal utility change as you stay at home watching the same TV show (not necessarily the same episode) alone all day?
- Suppose Ann likes both pancakes (P) and waffles (W) and is always willing to substitute two pancakes for one waffle. Write the equation for Ann's utility function. a. b. Given her preferences, what is Ann's marginal utility of an additional pancake? What is Ann's marginal utility of an additional waffle? с. With pancakes on the horizontal axis and waffles on the vertical axis, graph Ann's indifference curves for U=4 and U=8. d. What is Ann's marginal rate of substitution?Quarts of ice cream Total utility from ice cream 0 0 1 80 2 150 3 210 4 260 From the information in the above table, what is the marginal utility of the third quart of ice cream? A) 80 B) 70 C) 60 D) 230 Pizza Pepsi Slices per week Total utility Quantity per week Total utility 0 0 0 0 1 100 1 70 2 150 2 130 3 175 3 180 4 190 4 220 5 195 5 250 The table shows Elaine's utility from pizza and Pepsi. If Elaine consumes 2 slices of pizza and 3 Pepsis, her marginal utility from the fourth Pepsi is ________ units. A) 60 B) 54 C) 40 D) 220 Fritos Fruit drinks Quantity Total utility Quantity Total utility 0 0 0 0 1 40 1 50 2 75 2 95 3 105 3 135 4 130 4 170 5 150 5 200 6 165 6 225 The table above shows the…Explain and differentiate preference and utility.