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- 3. (a) Draw and explain the shapes of the total utility and marginal utility curves.(b) State and explain the condition for consumer equilibrium.You are choosing between two goods, X and Y, and your marginal utility from each is shown in the following table. Units of X MUx Units of Y MUy 1 10 1 8 2 8 2 7 3 6 3 6 4 4 4 5 5 3 5 4 6 2 6 3 a. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? ______units of X and ______units of Y b. What total utility will you realize? ______utils c. Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? _____units of X and ______units of Y d. Using the two prices and quantities for X, complete the table to derive the demand schedule (a table showing prices and quantities demanded) for X. Instructions: Start with the highest price first Price of X Quantity Demanded of X $ $Dear Expert Hand written solution is not allowed
- 16.Suppose the market for a good is composed of 1,000 identical consumers. The market's demand curve is given by QM = 150,000 – 25P. What is the equation for an individual consumer's demand curve? A) Q = 150,000,000 – 25,000P B) Q = 6,000,000 – 40P C) Q = 6- 4P D) Q = 150 –0.025 17.There are 100 consumers in the market for good X. each with a demand curve givenQ28Questions 4 (Choice & Demand). Suppose a consumer's utility function is given by: U(xi, x2 ) = x" a) What is the consumer's demand for x, as a function of income and prices? What is the consumer's demand for x; as a function of income and prices? Use Lagrange method or your intuition. b) What percentage of income does the consumer spend on x;? What percentage of income does the consumer spend on x2?
- 10) Figure 1 shows some indifference curves and budget lines for consumer Yusuf. Milk A B Cheese Figure 1 If Yusuf's income increases, his optimal consumption changes from point A to point B. Which of the following statements is true for Yusuf? (a) Cheese and milk are substitutes. (b) Cheese is an inferior good. (c) Milk is an inferior good . (d) Milk is a normal good. (e) None of the above.25 Columns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $9, $3, $2, and $6 and that Ricardo has an income of $71. Column 1 Column 2 Column 3 Column 4 Column 5 Units of Good A Units of Units of Units of MU MU MU MU Good B Good C Good D Number of Dollars Saved MU 1 72 1 24 1 15 1 36 1 5 2 54 2 15 2 12 2 30 2 4 3 45 3 12 3 8 3 24 3 3 4 36 4 9 4 7 4 18 4 2 5 27 5 7 5 5 5 13 5 1 6 18 6 5 6 4 6 7 6 0.50 7 15 7 2 7 3.5 7 4 7 0.25 8 12 8 1 8 3 8 2 8 0.13 Instructions: Enter your answers as a whole number. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? 4 units of A 3 units of B units of C units of D b. How many dollars will Ricardo choose to save?QUESTION 7 Assume the following is the budget equation for Courtney who spends her income between music concerts and movies: 86 Music Concerts + 85 Movies = 7216 If Music Concerts are measured on the vertical axis, what would be the slope of the budget line ? 2
- 3. Diagram the following budget constraint where Income - $10,000, Px – $100 and Py - $25033 Consider a pure exchange economy with 2 consumers and 2 goods. Consumer ? owns 8 units of good 1 and 1 unit of good 2, and his preference is represented by the following utility function: uA(x1, x2) = x1*x2. Consumer ? owns 2 units of good 1 and 4 units of good 2, and his preference is represented by the following utility function: uB(x1,x2)=x1+x2. Assume that the two consumers are allowed and able to trade with each other, and that good 1 is the numeraire. In this case, both consumers act as price-takers. Price takers: a market participant that is not able to dictate the prices in a market. Therefore, a price taker must accept the prevailing market price. Please find the competitive equilibrium of this pure exchange economy.