A9) Suppose we have two goods, xi and x2, with prices pi and p2, respectively. Consider the budget constraint x,p, + x,P2 s m. If both pi and m double (i.e., p'i=2p1 and m'=2m), the area of the feasible consumption set: a) Doubles b) Falls by half c) Stays the same d) Quadruples e) None of the above.
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- Q)Suppose we have two goods, x1 and x2, with price p1 and p2, respectively. Consider the budget constraint x1p1+x2p2≤m. If both p1 and m double (i.e. p’1=2p1 and m’=2m), the area of the feasible consumption set: a) doubles B)stays the same D) quadruples C)none of the above E) falls by halfThe preferences of a typical Californian can be represented by the following utility function: U (x1 , x2 ) = α ln(x1) + (1 − α) ln(x2) Here, x1 and x2 are the quantities of electricity and gasoline, respectively. The consumer faces prices given by p1 and p2 and has income m. Currently, the government has decided to impose a consumption restriction so that any person in the state is allowed to consume at most 50 units of electricity (x1 ≤ 50). Call this restriction a rationing constraint. (a) If α=0.25, m=100,and p1 =p2 =1, find the optimal consumption bundle of gasoline and electricity. Is the electricity rationing constraint binding (meaning does x1∗ = 50)? (b) Suppose that α = 0.75, but the other parameters are the same. What is the optimal consumption bundle? Is the rationing constraint on electricity consumption binding? (c) Now, assume that there is no rationing constraint. Assume m = 100 and p1 = p2 = 1, but α remains as a generic parameter. Solve for the optimal quantity…Q1.14 Utility from consuming a good is understood by economists to mean; (a) how often we consume the good.(b) how much satisfaction or benefit we get from consuming the good.(c) how much it costs to buy the good.(d) how we best use the good. Q.1.15 The marginal utility of a good or service declines as one more unit is consumedbecause:(a) supply slopes upwards.(b) consumers are constrained by income.(c) of the law of diminishing marginal utility.(d) prices move with demand.
- Suppose your utility for goods x1 and x2 is represented by the following utility function: U(x1,x2)= x11/5 x24/5 a) What is your marginal rate of substitution, MRS12? b) If the price for good x1 is p1 = 2, the price for good x2 is p2 = 4, and your available income is m = 20, write down your budget constraint. c) Using the prices and income given at b) above, find your optimal consumption choice bundle (Marshallian demand) and its corresponding utility level. d) Illustrate your optimal consumption choice on a graph. e) For the prices given in b), what income would you need to achieve a utility level of 25? PLEASE ONLY ANSWER PART C, D AND ESuppose your utility for goods x1 and x2 is represented by the following utility function: U(x1,x2)= x11/5 x24/5 a) What is your marginal rate of substitution, MRS12? b) If the price for good x1 is p1 = 2, the price for good x2 is p2 = 4, and your available income is m = 20, write down your budget constraint. c) Using the prices and income given at b) above, find your optimal consumption choice bundle (Marshallian demand) and its corresponding utility level. d) Illustrate your optimal consumption choice on a graph. e) For the prices given in b), what income would you need to achieve a utility level of 25?Suppose Coke and Pepsi are perfect substitutes for me, and right and left shoes are perfect complements. A. Suppose my income allocated to Coke/Pepsi consumption is $100 per month, and my income allocated to right/left shoe consumption is similarly $100 per month. a. Suppose Coke currently costs $0.50 per can and Pepsi costs $0.75 per can. Then the price of Coke goes up to $1 per can. Illustrate my original and my new optimal bundle with "Coke" on the horizontal and "Pepsi" on the vertical axis. b. Suppose right and left shoes are sold separately. If right and left shoes are originally both priced at $1, illustrate (on a graph with "right shoes" on the horizontal and "left shoes" on the vertical) my original and my new optimal bundle when the price of left shoes increases to $2. c. True or False: Perfect complements represent a unique special case of homothetic tastes in the following sense: Whether income goes up or whether the price of one of the goods falls, the optimal bundle…
- Which of the ff. is correct with regards to the demand curve? A. If the price of the good increases, the demand curve for the good will shift to the left B. If the price of the good increases, the consumers have the incentive to look for substitutes, thus, the quantity demanded and its price are inversely related C. Income of the consumers is written on the vertical axis D. Varying preferences of the consumers is reflected in the demand curve and is written on the horizontal axisYou are given the following utility function and price of commodities q1 and q2: U = 3q1+q1q2-5q2-15 P1=3 and p2=2 If the corresponding bugdet is 20. i. Write the consumer's budget equation,augmented objective function, ii.construct a constrained utility maximization problem out of the information given above, Is the second order condition for a maximum satisfied? Iii. Find the optimum level of U and the levels of q1 and q2 that will satisfy the first order condition for a maximum.a. Is the “more is better” assumption satisfied for both goods? Explain.b. What type of function is this? Explain.c. Provide expressions for the marginal utilities of x and y and does the marginal utility of x increase, remain constant, or diminish as the consumer buysmore units of x? Explain. Does the marginal utility of y increase, remain constant, or diminish as the consumer buysmore units of y? Explain.d. Provide an expression for the marginal rate of substitution of x for y.e. Is MRSx,y diminishing, constant, or increasing as the consumer substitutes more x for y alongan indifference curve? Explain.f. On a graph with x on the horizontal axis and y on the vertical axis, draw the indifferencecurves for U1 and U2 where U2 has a higher value than U1
- a. Is the “more is better” assumption satisfied for both goods? Explain.b. What type of function is this? Explain.c. Provide expressions for the marginal utilities of x and y and does the marginal utility of x increase, remain constant, or diminish as the consumer buysmore units of x? Explain. Does the marginal utility of y increase, remain constant, or diminish as the consumer buysmore units of y? Explain.d. Provide an expression for the marginal rate of substitution of x for y.e. Is MRSx,y diminishing, constant, or increasing as the consumer substitutes more x for y alongan indifference curve? Explain.f. On a graph with x on the horizontal axis and y on the vertical axis, draw the indifferencecurves for U1 and U2 where U2 has a higher value than U1 instructions: answer d,e, and f onlyKaren has perfect complement preferences over toothbrushes B and toothpaste P, with the associated utility function U(B,P) = min (3B, 2P). Suppose the price of a toothbrush is $6, the price of toothpaste is $4 a tube, and she has $72 to buy her entire year's supply of toothbrushes and toothpaste. How many toothbrushes and tubes of toothpaste will she buy?Suppose the market demand curve for pizza can be expressed as QD = 100 - 2P + 3Pb, where QD is the quantity of pizza demanded, P is the price of a pizza, and Pb is the price of a burrito. What is the slope of this demand function, and what information does the slope provide?..