1.3 Using the coffee demand function, Q=8.56-p-0.3p. +0.1Y, show that sugar is a complement for coffee. You can use a numerical example, algebra, or calculus.
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- The Law of Demand states that as the price of a good increases, ceteris penbus, the The relationship that exists between these two variables can be described as decreases. This can be shown graphically with demand curve or numericaly in a table using a 0The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of units produced and sold during a month.How many units must be produced and sold to maximize utility? What is the maximum utility?To help with his busy schedule, Joe drinks a lot of cappuccinos. In particular, his weekly demand for cappuccinos is: cap = 0.1 M-8 Pcap Where Xcap is the number of cappuccinos drunk per week, Mis Joe's weekly income and Pcap is the price of a cappuccino. (Note that Xcop is an average demand and need not be a whole number). (a) Suppose that income M = 240 euro, and the price is Pcap = 1.5 euro. How many Cappuccino, on average, will Joe drink per week? Suppose that the price increases to Pcap = 1.6 euro. (b) What is Joe's new demand for cappuccinos? What is his total change in demand due to the price change? (c) Given the new price (Pcap = 1.6), how much extra income would Joe need to allow him to continue buying the number of Cappuccinos calculated in part (a), without needing to reduce his demand other goods? (In other words, how much would Joe's expenditure on cappuccinos have gone up if he had continued to buy the number of cappuccinos calculated in part (a)?) (d) Compute the change…
- (Review Question) Sarah consumes both wine ) and cheese (y) and considers them perfect substitutes. She always gets twice as much utility from consuming wine as she does cheese. What equation would represent her utility function? U-(2xy) U=x+2y U=2x+y U=min(x,2y)Consumer demand for Caramel Iced Mochas (a kind of drink) at a coffee shop is given by p=7−.25x dollars per drink, where x items are drinks are sold every day. Total consumer spending S is the product of the price per drink and the number of drinks sold. Which of the following is a formula for total consumer spending?Utility function...
- Suppose Ed's utility from the consumption of martinis (m) is proportional to the number he drinks: U(m) = m. Further, Ed is particular about his martinis: He enjoys them in exactly three parts of gin (g) to one part vermouth (v). So we can write the utility as: U(m) = U (g, v) = min (g, 3v). (a) Provide a sketch of Ed's indifference curve in the (g, v)-space for various level of utility. (a) Let the prices be p, and p, and Ed's income be I. Find the demand functions for 9 and v [Hint: Use the proportional rule and budget constraint. No need for differential calculus] (b) Using the results in (b), what is Ed's indirect utility function? (c) Find the expenditure function; given a level of utility U, and prices pg and Pv.Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function. a) Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b) Why do the average rates of change decrease as x increases? a) The average rate of change of U as x changes from 0 to 1 is. (Type an integer or a decimal.) C Utility (pleasure units) AU 200- 150- 100- 50- 0 (1,67) (2,106) I (3,134) (4,156) 2 Number of units of product 4 XAyana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain.
- Consider a utility function given by:Ayana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain. (b) Calculate consumers’ income elasticity as a function of the parameters. (c) Anaya is targeting a market whose income is expected to double over the next five years.Explain whether she should expect the demand for chargers to increase or decrease, andby how much, using the language of normal, inferior, luxury, and necessity goods. (d) Calculate the cross-price elasticity ofCwith respect toPF. (e)…The utility of a consumer derives from consuming the two goods X and Y can be assumed to be determined by the utility functionU(X,Y)= 4X03Y05. If good X costs 10 birr a unit and good Y costs 15 birr a unit and the consumer's income is 120 birr. What combination of X and Y that will maximize utility?
