There are 10 consumers in the market, each with the demand curve Q=100-0.5P. What is the slope of the market inverse demand curve (AP/AQ)? -0.20. -2.25. -1.50. -0.50.
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- 4GE 10:01 ITEMS INFO 8. 2 attempts remaining. TAMU_QID: BM_00048 Consumers will demand 1070 items at a price of $2.75 per item. When the price per item increases to $5, the number of items demanded will decrease by 45. Write the linear demand function, p(x), for this item. Enter your answer in slope-intercept form, using exact numbers. p(x) = Submit answerQ1. Assume you are given $20 a week to spend only on your favorite choices of drinks. You have two favorite drinks: Di costs $2 and D2 costs $4. Your utility from the purchase of your drinks is U(D₁) and U(D2). The values of utilities are given below - D₁ 0 1 2 3 4 5 U(D₁) 0 12 20 26 30 32 D₂ 0 1 3 U(D₂) 0 2 3 32 5 20 40 444 46 X is the number of D1 and Y is the number of D2 you purchase in a week. a) What combination of X and Y would make you a utility maximizer? b) If you are not maximizing your utility, how should you reallocate your allowance? Explain.Rafe is optimally choosing to consume 6 apples and 3 bananas. The prices of apples and bananas are p. = 7 and pb - 7. Which of the following utility functions over quantities of apples (a) and bananas (b) could represent Rafe's preferences? = u(a, b)-a4/5 61/5 Ou(a, b) = a¹/5 64/5 Ou(a, b)-a2/3 b1/3 Ou(a, b)-a¹/3 2/3
- Refer to the graph below Quantity of Y 160 0 Multiple Choice The consumer's income is $1,000 Why doesn't the consumer choose the combination at point B O Quantity of X 200 O The marginal utility of Y exceeds the marginal uplity of X O The consumer is willing to give up more X for an additional unit of Y than must be given up given the relative prices of X and Y. The marginal utility per dollar spent on X exceeds the marginal utility per dollar spent on Y The consumer is willing to give up more Y for an additional unt of X than must be given up given the relative prices of X and YSuppose Jimi has reference dependent preferences over guitars and money as in Tversky and Kahneman (1991). His utility functions are given below. Gains Gains 400 -2 -2 2 Guitars 2$ Losses Losses i-600 -2 What is the least amount of money Jimi is willing to accept to sell one of his guitars? (just enter a dollar amount, i.e., "10o0", not "$1000"At the utility max point the rate at which a consumer is willing to trade C0 for C1 is equal to 1 plus the interest rate (MRS = 1+r). Suppose U(C0,C1)=lnC0+lnC1, MRS=1+r, and C1=(1+r)C0. If the consumer has income of $100 and saves $60 at 10%, what are C0 and C1? options: $50, $60 $40, $66 $50, $52.50 $40, $60
- Rohit likes playing badminton with his friends. His utility function for playing badminton every week is given by U(t) = 11t - 212. where t is measured in hours. They play on a badminton court, which they can rent per hour. Suppose the current price to play on the badminton court is $2.50 per hour. a) How many hours should Rohít play if he wishes to maximise his utility? b) Explain what we mean by the principle of diminishing marginal utility. Does the principle apply in Rohit's case? Explain why? In a diagram with income in Dollars on the horizontal axis and quantity on the vertical axis, show the relationship between Rohit's budget and the number of hours that would maximise his consumer surplus.Jane spends $210 per month on wine and beer. Her utility function is given by TU = 100WB, where W represents the number of bottles of wine that she buys and B represents the number of cases of beer that she buys. If wine costs $10 per bottle and beer costs $15 per case, she will maximize utility by buying: 10 bottles of wine and 13.33 cases of beer. equal amounts of wine and beer. none of the above. 10.5 bottles of wine and 7 cases of beer. 2 bottles of wine and 3 cases of beer.Sam's extended family spends $3,200 per month on wine and beer. Their utility function is given by U = 200WB, where W represents the number of bottles of wine that they buy, and B represents the number of cases of beer that they buy. Wine costs $25 per bottle and beer costs $32 per case. Sam's family wants to maximize their utility. Calculate how many bottles of wine and how many cases of beer they should buy. Show your calculation(s).
- Answer the following questions using the following information. Columns 1 and 2 in the table below show the marginal utility that Cody gets by purchasing products A and B. Column 3 shows the marginal utility Cody gets from saving Assume that the price of A is $13 the price of B is $10, and Cody has an income of $129. a) Find the following series of MU/$ for each column. Note: Keep as much precision as possible during your calculations. Your final answer should be accurate to at least two decimal places Column 1 Column 2 Column 3 Units of A MU MU/S Units of B MU MU/$ Number of $ saved MU MU/S 68 6.8 1 80 6.15 1. 13 0. 2 71 5.46 2 63 6.3 2 10 0. 3 66 5.08 3 56 5.6 3 7 4 61 4.69 4. 46 46 0. 54 4.15 40 4 45 3.46 31 3.1 6. 1 39 3 22 2.2 0. 29 2.23 8 17 1.7 8 b) What quantities of A and B will Cody purchase in maximizing his utility? Quantity of A: 0 Quantity of B: 0 c) How many dollars will Cody save? Dollars Saved = $0 SAVE AND CLOSEabby is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. Jennifer’s utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Question 1 Part aFind abbys optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.Given the utility function U (x1, x2) = x³x2.7 select all that are true. a) 30% of the budget is spent on good 1. ○b) V (p, I) = 30.370.7 I 10 P1P2 c) If P2 = 2 and I = 60, then $18 is spent on good 21. d) If P1 = 9, P2 = 2, and I = 60 then the consumer enjoys 1.81 utils of utility. e) Half the budget is spent on good 1 and the other half is spent on 2.