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- If the price of good X increases, what will happen to the budget line? It will shift outward It will become steeper It will become flatter It will shift inwardYou have $3,000 to spend on entertainment this year (lucky you!). The price of a day trip (T) is $40 and the price of a pizza and a movie (M) is $20. Suppose that your utility function is U(TM) T1/3M2/3. a. What combination of T and M will you choose? b. Suppose that the price of day trips rises to $50. How will this change your decision?Consider a consumer whose utility function is (screenshot) Assume the consumer has income $120 and initially faces the prices px=$1 and py=$1. How much x and y would they buy? Draw the budget constraint and the demands.
- A decrease in the price of good Y will have what effect on the budget line on a normal X-Y graph? Select one: OA. Parallel outward shift of the line OB. Parallel inward shift of the line OC. Decrease the horizontal intercept COD. Increase the vertical interceptsketch a person’s indifference map and budget line for two goods, X on the horizontal axis and Y on the vertical axis. Mark the optimum consumption point. Now illustrate the following (you might need to draw a separate diagram for each): (a) A rise in the price of good X (a normal good), but no change in the price of good Y. (b) A shift in the person’s tastes from good Y to good X. (c) A fall in the person’s income and a fall in the price of good Y, with the result that the consumption of Y remains constant (but that of X falls).A consumer has an income of $400 and is deciding between two products: X and Y. Assume that the X product is the horizontal axis product. The price of X is $10 and the price of Y is $2. Assume the consumer currently wants to consume 50 units of product Y to maximize his utility. a) Write out the equation to this consumers budget line. What is the slope to this budget constraint? b) How much of X and Y will the consumer consume to maximize his utility subject to his budget constraint. C) Now assume the price of X changes to $5 and price of Y and Income stays the same. At the new price, the consumer wants to buy 60 units of product X to maximize her utility given her budget. How much X and Y will the consumer consume to maximize utility. g in the before and after the change of the budget constraint and indifference graph on the same graph space. Show all necessary points. Label clearly. ead oubstitutiofs. Draw d) Write out the expression of the utiiity maximizing ruie here.?
- While visiting family in Mexico, your professor has a budget of $ 255 ($ = pesos) that he spends on tacos and tequila. The price of tacos is $ 6 and a shot of tequila is priced at $ 16. During his visit the price of tacos changes to $ 5. Assume your professor has a Cobb-Douglas utility function with (tacos) parameter a = ( 27 / 100). How many shots of tequila does your professor purchase ? (Assume both goods are commodities.) (Answer is : 11.63)No written by hand solution 1. Thomas consumes only pizzas (Z) and burritos (B). His utility function is given by U(Z, B) = Z · B. The price of a pizza is pZ and the price of a burrito is pB. Thomas has Y dollars. (a) Draw Thomas’s indifference curves and budget line if pZ = 20, pB = 10, Y = 100. (b) Find the optimal amount of pizzas and burritos Thomas will buy if pZ = 20, pB = 10, Y = 200. (c) Derive Thomas’s demand function for pizzas if pB = 5 and Y = 5. (d) Is Thomas better off if i) pizzas and burritos become twice cheaper, or if ii) his income doubles? (e) Suppose Thomas enters a cafeteria and discovers that pZ = 10 and pB = 25 (burritos are really delicious there). Thomas has Y = 200 in his pocket and would like to make an optimal choice. However, he is told that there are only two burritos left. Draw the budget constraint and find the optimal consumption bundle. 2. Thomas consumes only beer (B) and Internet (I). He subscribes to an Internet provider that charges 2…Assume that a consumer can buy only two goods, X and Y, and has an income of $13,000. The price of X is $60 and the price of Y is $140. What is the slope of the budget line if X is measured horizontally and Y is measured vertically? Note that you will need to include a negative sign in your answer. If needed, round your answer to the nearest two decimal places.
- Suppose the price of a donut is $2.50, the price of a cinnamon roll is $3.20, and the budget is $50. Donuts are on the x-axis and cinnamon rolls are on the y-axis. If the price of a donut increases to $3.30, what happens to the Budget Line? The budget line undergoes a parallel shift outward The budget lines undergoes a parallel shift inward The budget lines rotates outward The budget lines rotates inwardUtility maximization with a budget constraint. A hypothetical consumer spends all tgheir income on ramen noodles (N) and wild rice (W). N is the quantity of noodles; W is the quantity of wild rice. Their income is $1,600 per month. the price of noodles is $2 per package and the price of wild rice is $20 per pound. The utility function is U=sqrt(N*W). the MRS = -N/W. The budget constraint is: 1,600 = 2*N + 20*W Graph Qty of noodles (N) on vertical axis and Qty of wild rice (W) on horizontal axis. SOLVE: a. Graph the budget constraint. label all points. What is the slope of the budget constraint? b. Find the optimal quantities of noodles(# of packages) and the wild rice (# of pounds) given the budget constraint. graph these optimal quantities. draw your indifference curve on the same graph. c. Show on your graph what happens when the price of wild rice increases to $40 per pound. Find your new optimal quantities of noodles and wild rice. label all points on graph. label the…Given the following budget constraint: PXQX + PYQY = M, where PX = $2, PY = $1 and M = $10 (M is income) a. What is the slope of the budget constraint in QX/QY space (where QX is on the horizontalaxis and QY is on the vertical axis)?b. What is the relative price of an additional unit of X?c. What is the relative price of an additional unit of Y
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