Sam is going to Baltimore for the day to watch his favorite baseball team (Orioles). Sam loves his Orioles, but he is addicted to drinking beer (B) and eating hotdogs (D) while watching his team. His utility function is: U = (B*D)1/2 Suppose Sam has $50 to spend on beer and hotdogs. Beer costs $5 a mug and a hotdog costs $ 4. What is the combination of beer and hotdogs that yield the highest utility?

Enrique is a movie buff. He likes to watch on demand movies from his cable company, which cost $5 each, and so likes to go to the local movie house, which charges $15 a ticket. Suppose that given his budget and his tentative spending plans, the marginal utility from a cable movie is 15 utils and the marginal utility of a movie at the local cinema is 45 utils. Assuming he is spending his entire budget, Enrique is currently maximizing his utility Enrique can increase his utility by buying more cable movies and watching fewer cinema movies Enrique can increase his utility by buying more cinema movies and fewer cable movies

Boyd has the following utility function: U= 100B /C where B represents books and C represents audio CDs Boyd currently consumes 46 units of good B and 36 units of good C. His total level of utility is (Enter a numeric response using a real number rounded to two decimal places.) 15 MacBook Air 80 esc F1 F2 F3 F4 F5 F6 F7 @ #3 $ % 1 2 3 4 7 8. Q W E Y tab S caps lock C V * 00 つ エ B LL D A.

27. Mike spends all his income on films (F) and concerts (C). Films cost $10 and concertscost $30. Mike’s preferences can be described by the utility function: U = F C and hence themarginal utility of films is C and the marginal utility of concerts is F. Which of the followingbundle will Mike purchase? (Hint: You do not need to know income in $ amount. Answerthe question using the tangency condition.)(a) Mike purchases 30 concerts and 10 films a month.(b) Mike purchases 10 concerts and 30 films a month.(c) Mike purchases 20 concerts and 20 films a month.(d) Mike purchases 5 concerts and 10 films a month.

Suppose that Biff enters a hot dog eating contest. He enjoys hot dogs, so he gladly pays the $20 entry fee. Biff realizes there is very little chance that he will actually win the contest. He just likes the idea of being able to eat all the hot dogs he wants. The table below shows Biff’s utility from eating hot dogs.       a. Use the table below and fill in the values for marginal utility.   Hot Dogs and Biff's Utility Hot Dogs Total Utility (utils) Marginal Utility (utils) 5 48 — 6 52   7 54   8 55   9 54   10 51     b. Use the table to graph Biff's total utility and marginal utility for hot dogs.                 c. If Biff is rational, and has no intention of winning the hot dog eating contest, what is the optimal number of hot dogs he will eat? What is the maximum level of utility Biff can reach from eating that number of hot dogs?        Optimal number of hot dogs:         Maximum utility:

Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either callher on the land-line phone for five cents per minute or he can drive to see her, at a round-trip cost of $2 in gasolinemoney. He has a total of $10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses ahandy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values inTable 6.6, figure out the points on Jeremy’s consumption choice budget constraint (it may be helpful to do a sketch)and identify his utility-maximizing point

Your gym offers two classes at the same time:weightlifting and yoga. Both classes are includedin your membership and have space available.Your friend tells you he wants to work on hisstrength and take the weightlifting class, but youalways see him in yoga class. Which class giveshim more utility? How do you know this?

Styles 15. Damian Matthews is busy. He allocates his free time between watching movies and working out at the gym. The table below shows his utility from the number of times per week he watches a movie or goes to the gym. Damien has 14 hours a week to spend on movies or the gym (think of hours like $ of income here). Each movie takes 2 hours. Each gym trip takes 2 hours. Q of Gym Total Q of Movie Total Utility visits Utility from visits from Gym Visits movies 100 1 60 180 110 3 240 3 150 4 280 4 180 310 190 330 195 340 7 197 a) What bundles of gym visits and movies can Damien consume if he spends 1) all his time in the gym or 2) all his time watching movies? b) Calculate the marginal utility of each gym visit'and movie. Then calculate the Marginal Utility per hour of each activity. c) How should he allocate his time to maximize his utility? 12

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 A

5. Sheila and Bruce are taking a canoe trip. Sheila brought 10 boxes of peanuts (x) and 15 bags of chips (y). Sheila's utility function is U*(x,y) = lnvx*+ Invy°. Bruce also brought 20 boxes of peanuts and 5 bags of chips. Bruce's utility function is UB(x.y) = min[x', y'I. a) Illustrate the endowment point and draw a sample set of indifference curves through the endowment point. b) If Sheila and Bruce trade what will be the pattern of mutually beneficial trade? c) If the terms of trade are the number of bags of chips (y) per box of peanuts (x) then what is the largest value that these terms can be for a mutually beneficial trade in this economy? d) Find one mutually beneficial trade where the terms of trade are 1 bag of chips (y) per 2 boxes of peanuts (x). Suppose that Sheila and Bruce set up two competitive markets for peanuts and chips. Below you will show that if the price of peanuts (x) is $1 and the price of chips (y) is $2 then the markets for both peanuts and chips will clear.…