2. For a consumer with demand function q = 100-5p-¹/2, find: (a) Consumer surplus (CS) at price po = 9. (b) CS at price p = 4. (c) ACS resulting from the price change p = 9 to p = 4.
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- a) A consumer has a utility function given by U = x025 y0.75 He has an income of £100, the price of good x is £5 and the price of good y is £10. How much of the 2 goods x and y does the consumer buy? Take a picture of your workings and upload with your answer, or type out your workings. b) For the utility function above, what is the cross-price elasticity of demand for good x with respect to the price of good y? Take a picture of your workings and upload with your answer, or type out your workings. c) For the utility function above, what is the elasticity of demand of good x with respect to its own price? Take a picture of your workings and upload with your answer, or type out your workings.-x2 + 324. Find the consumers' The demand function for a particular product is given by the function D(x) surplus if xE = 9 units.2. Consider the following utility function: u(x,y) = xỉ + yž. (a) Derive the optimal utility maximizing demands for x as a function of prices and income. (b) Find the formula for price elasticity of demand for x. (c) Find the formula for the income elasticity of demand for x.
- Suppose = 10,000-2P + 3P -4.5M, where P = $100, P = $50, and M (income) = $2,000. (a) What is the own x x y price elasticity of demand? Please show your calculations. (b) What is the cross price elasticity between good x and good Y? Please show your calculations. (c) What is the income elasticity of demand? Please show your calculations. Hint: For this question please look at the section "Obtaining Elasticities from Demand Functions" in Chapter 3 on pages 89 - 90 of the textbook 2. Suppose Qd=10,000-2 Px +3 Px-4.5M, where Px $100, Px = $50, and M (income) = $2,000. (a) What is the own price elasticity of demand? Please show your calculations. (b) What is the cross price elasticity between good X and good Y? Please show your calculations. (c) What is the income elasticity of demand? Please show your calculations. Hint: For this question please look at the section "Obtaining Elasticities from Demand Functions" in Chapter 3 on pages 89-90 of the textbook7) If the price of good X increases from RM3 to RM5, the quantity demanded drops from 10 to 8. Find the slope of the demand curve. a) 0.2b) 5c) -1d) -2Other: 8) Based on Question 7, calculate the quantity when the price is equal to 0.1 pointa) 13b) 2c) 10d) 5 9) Based on Question 7, if the market price is equal to 1, determine how many units of good X will be sold in the market. a) cannot be determinedb) 12c) 10d) 14 10) If the price of Pepsi increases, what will happen to the market price of Coke? a) remain unchangedb) decreasec) increased) changea) The demand function for a product is p = 60 3-9/15) where q is the number of units and p is the price of one unit. At what price will the demand be 15 units? How many units will be demanded if the price is $41.60?
- Marc-Antoine and Annabelle have demand curves for books which are descending lines. Annabelle's demand curve has the same slope as Marc-Antoine's. Annabelle's demand curve is to the right of Marc-Antoine's. An increase in the price of books will cause: (a) a shift to the right of the Annabelle and Marc-Antoine demand curves. (b) a left shift of the Annabelle and Marc-Antoine demand curves. (c) a greater reduction in excess consumer consumption for Annabelle than for Marc-Antoine. (d) a smaller reduction in excess consumer demand for Annabelle than for Marc-antoine5. Consider the demand function for good1, Q1 = 2037 - 9P1 + 0.6000000000000001P2 - 0.75P3 + 0.07Y Where, price of good1 (P1) is 59, price of good2 (P2) is 255, price of good3 (P3) is 195, and income (Y) is 24425; (a) Find the price elasticity of demand (PED). **Don't forget to consider taking absolute value!** (b) Find the income elasticity of demand (YED). (c) Find the cross-price elasticity of demand (XED) between good1 and good3. (d) Estimate the percentage change in the demand for good1 resulting from a 4% decrease in the price of good2. (e) Based on the value of YED, comment on the nature/type of the goods ( answer in one word ) (f) Based on the value of the XED between good 1 and good3, comment on the relationship between these two goods ( answer in one word)13. If a change of 15% in price of good X, results in a change in demand for good Y of 5%,then:(a) The cross-price elasticity of demand is 1/3 and the goods are substitutes(b) The cross-price elasticity of demand is 3 and the goods are substitutes(c) The cross-price elasticity of demand is 1/3 and the goods are complements(d) The cross-price elasticity of demand is 3 and the goods are complements(e) None of the above is true
- Consumers' Surplus The demand function for a certain brand of CD is given by p = -0.01x? - 0.1x + 19 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus (in dollars) if the market price is set at $7/disc. (Round your answer to two decimal places.) $ 225 The units in the original equation are in thousands. Need Help? Read It Master It Submit AnswerIn the following cases, calculate the inverse demand and the consumer surplus at the price p = 10 dollars, as well as the graphical representation. a) D(p) = 100 − p. b) D(p) = 100 − bp, where b is a positive constant. c) D(p) = 100 − 0, 25p. d) D(p) = a − p, where a is a positive constant. 2- The price goes from 10 to 13 dollars, a) D(p) = 100 − p. b) D(p) = 100 − bp, where b is a positive constant. c) D(p) = 100 − 0, 25p. d) D(p) = a − p, where a is a positive constant.6)An increase in supply, ceteris paribus, lowers a good's price. If the total revenue of sellers now falls, we know * a)that the good's price elasticity of demand was greater than 1. b)that the good's price elasticity of demand was smaller than 1. c)that the good's demand curve was vertical. d)that the good's price elasticity of demand was equal to 1 e)that the good's demand curve was a rectangular hyperbola.