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- The marginal utility for shoes and coffee is given below for five individuals. A pair of shoes costs $2, and a cup of coffee costs $1. Which of these consumers are optimizing over their choices? Explain For those who are not, how should they adjust their spending? Explain “Pasta is Miguel’s favorite meal therefore the law of diminishing marginal utility does not apply”. Do you agree with this statement? It is known that the indifference curve is convex. What does this tell you about the relationship between the goods? The income effect and the substitution effect work in the same direction for a normal good. Explain how this differs for an inferior good.While discussing the choice bundle of a consumer, differentiate between Boundary Optimum and Interior Optimum. Show and explain in which cases a consumer faces these types of optimal equilibria?Assume that you only buy two goods, fish and Fanta soda. You are analyzing your personal consumption for the two goods. Assume that you have a weekly budget of $80, fish costs $5 per Ib and Fanta costs $2 a soda. a. Draw your budget line with Fanta on the y-axis. Calculate the x and y intercepts as well as the slope of the budget line. Include your personal indifference curve to show your optimal consumption between the two goods (assume that your indifference curve is such that you consume positive values of each good). 3. Assume that the price of fish falls from $5 per Ib to $4 per Ib. On a new graph draw the change in price along with the new intercept(s) and new optimal consumption point.
- Currently, Paula is maximizing utility by purchasing five TV dinners (T) and four LeanCuisine Meals (L) each week. Suppose both T and L cost $5 each.a. Graph Paula’s initial utility-maximizing choice.b. Suppose the price of T falls by $1 and the price of L rises by $1.25. Can Paula stillafford to buy her initial consumption choices? What do you know about her new budgetconstraint?c. Make a new graph to show why Paula will choose to consume more T and less Lgiven her new budget constraint to maximize utility. Is her utility increased, decreased,or unchanged given the price change? [Hint: try to make the graph as big as possible tosee how the utility is tangent/intersects with the lines more easily] d. In part (b), suppose another scenario where the price of T rises by $1 and the priceof L falls by $1.25. Is Paula’s utility increased, decreased, or unchanged given the pricechange?Kim 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…