Dave currently consumes 10 hot dogs and 6 sodas each week. At his current consumption basket, his marginal utility for hot dogs is 5 and his marginal utility for sodas is 3. If the price of one hot dog is $1 and the price of one soda is $0.50, is Dave currently maximizing his utility? If not, how should he reallocate his spending to increase utility?

Rohan’s current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility from consuming cashews is 200 utils per ounce. If peanuts cost $0.10 per ounce and cashews cost $0.50 per ounce, is Rohan maximizing his total utility from the kinds of nuts?  Enter your responses as whole numbers. At the current level of peanut consumption, Rohan receives:  utils per dollar.At the current level of cashew consumption, Rohan receives:  utils per dollar.Therefore, Rohan           maximizing his total utility because MUp/Pp is           MUc/Pc.

Pam has a monthly budget of £120 to be spent on T-shirts and trainers. She could afford to buy two T-shirts and two pairs of trainers. She could also buy eight T-shirts. In each case, she would be spending her entire monthly allowance. Calculate the price of a T-shirt and the price of a pair of trainers. Write down Pam’s budget equation and draw the corresponding budget line. Mark the two consumption bundles mentioned above. In your graph, clearly label the axes, the budget line, and calculate the coordinates of the points of intersection of the budget line with each axis. Interpret each of those points. Discuss how Pam’s budget set would change if the price of a T-shirt doubles. Show the relevant changes graphically. How should Pam’s income change so that she could still afford to buy two T-shirts and two pairs of trainers? Discuss how Pam’s budget constraint would change if the government imposed a tax of £3 per each pair of trainers.

Sergei splits his consumption between baseball bats and cameras. The price of baseball bats rises. If Sergei responds to this price increase by reducing his purchases of cameras, does this imply that he has a stronger income effect or a stronger substitution effect? Explain. If Sergei responds to this price increase by purchasing fewer baseball bats but more cameras, does this imply that he has a stronger income effect or a stronger substitution effect? Explain.

7. MRS and utility maximization Suppose your classmate Felix loves to eat dessert-so much so that he allocates his entire weekly budget to apple crisp and pie. The price of one bowl of apple crisp is $1.75, and the price of a piece of coconut crème pie is $7.00. At his current level of consumption, Felix's marginal rate of substitution (MRS) of apple crisp for pie is 5. In other words, Felix is willing to sacrifice five bowls of apple crisp for one piece of pie per week. Does Felix's current consumption bundle maximize his utility? That is, does it make him as well off as possible? If not, how should he change it to maximize his utility? Felix could increase his utility by buying more apple crisp and less pie per week. Felix could increase his utility by buying less apple crisp and more pie per week. Felix's current bundle maximizes his utility, and he should keep it unchanged.

Gabriella obtains utility from consuming granola bars and cappuccino. The following table shows the total utility (TU) she obtains from consuming different amounts of the two goods. The price of a granola bar is $3 and the price of a cup of cappuccino is $2. She has allocated $9 to spend on granola bars and cappuccino. 1. Complete the table by calculating the marginal utility (MU) and the MU per dollar spent on each granola bar and cup of cappuccino. 2. What is Gabriella’s optimal consumption bundle of granola bars and cups of cappuccino?

Consider the figures to the right. Suppose that the individual currently consumes 5 digital apps. What happens to the person's total utility if they reduce their consumption to 4 units? Why does this fact imply that the marginal utility curve cuts through the horizontal axis of the lower figure between the fourth and fifth app consumed? Reducing consumption to 4 apps from 5 apps leaves total utility at utils in the upper , which is the figure. Hence, the marginal utility between these two quantities of apps equals value of the axis in the lower figure. Thus, the marginal utility curve crosses the axis of the lower figure between units 4 and 5. (Enter your responses as whole numbers.) Marginal Utility (utils per week) 6- 4- 22 Total Utility (utils + q r per week) 14- 12- 10- 20 ø Ø 18- 04 0 Downloaded Digital Apps Utilized per Week Downloaded Digital Apps Utilized per Week G Q

Bob consumes food and housing. Suppose his marginal utility from an additional unit of food is 20 and his marginal utility from an additional unit of housing is 180. Furthermore, suppose the price of a unit of food is $1.00 and the price of a unit of housing is $2.00. Can Bob increase his utility without changing his total expenditures on food and housing? Holding expenditures constant, A. Bob can increase utility by spending more on food and less on housing. B. Bob can increase utility by spending more on food and the same amount on housing. C. Bob can increase utility by spending less on food and more on housing. D. Bob cannot increase his utility. E. Bob can increase utility by spending more on food and more on housing.

Alex distributes his monthly income of $600 between two goods, movies and food. By spending his entire income on movies, he can enjoy a maximum of 20 movies. On the other hand, by spending his entire income on food he can consume a total of 60 units of food. Assume that food consumption is measured along the horizontal axis and the consumption of movies is measured on the vertical axis. Calculate the slope of Alex's budget line when the price of food increases to $20 while the price of movie remains unchanged. -2/3 - 1.5 -2 -3/4

Lisa consumes only two goods, pizzas and burritos. In equilibrium, her marginal utility per slice of pizza is 10 and her marginal utility per burrito is 8. Instructions: Enter your answer rounded to two decimal places. If a slice of pizza costs $3, then the price of a burrito must be $