Diogo has a utility function:The price of X is px = $12, the price of Z is pz=What is Diogo's optimal bundle? (round your answer to one decimal place)x₂ =Z₁ = unitsunits$14, and his income is $1,200.U = 100X0.870.2

Answered: ogo has a utility function: e price of…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Utility 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…
1. Let Amy derive utility each from housing, h, and a consumer good, z, with the following utility function: 1/ U=h¾/3₂¾3 M Her Mashallian demand equations are the following: h= and z=- 3ph 2M 3p₂ Amy lives in a city where everyone works downtown. While her income is $160 per month, her commute cost (bus pass) costs her $40 per month, so she only has $120 to spend on h and z. (we assume no time cost of the commute) The consumer good, z, has a price of $1 and the price of her housing, h, is $2 per unit. a. What is her quantity demanded of h and z and what level of utility is she currently enjoying? She is considering moving to a location further from work to a house where her commuting cost would be $60 per month (so she will have $100 to spend on z and h). The market adjusts ph and housing sizes across the city so that utility is the same at every location around the city. b. What is the equation for the appropriate demand function for housing in this city? C. What the price of housing…

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ogo has a utility function: e price of X is px = $12, the price of Z is p₂ = $14, and his income is $1,200. hat is Diogo's optimal bundle? (round your answer to one decimal place) X₁ = units Zo = units U = 100X0.870.2