Question

In: Economics

An individual has the following utility function: ?(??,?? ) = ???(??,???) and the following information: ??...

An individual has the following utility function: ?(??,?? ) = ???(??,???) and the following information: ?? = ?, ?? = ?, ?????? = ??? (Use good 1 in the x-axis and good 2 in the y-axis) a. (10 points) Write the budget constraint equation, draw the budget line in a graph; b. (10 points) Find the optimal basket for the individual on the same graph where you have the budget line.

Solutions

Expert Solution


Related Solutions

.Suppose that an individual has the following utility function: ?(?, ?) = ? 0.5? 0.5 in...
.Suppose that an individual has the following utility function: ?(?, ?) = ? 0.5? 0.5 in which L is leisure time in hours per day and C is the time for a one-way commuting to work in hours per day. It is also known that leisure time for this individual has opportunity cost of $5 per hour while commuting costs $4 per hour. If you assume that this individual is a rational person who spends 7 hours for sleep and...
1. Suppose that an individual has the following utility function, ? = ?^0.5?.?, where U stands...
1. Suppose that an individual has the following utility function, ? = ?^0.5?.?, where U stands for utility and W for Wealth. The individual currently has a net wealth of $400,000. The individual believes there is a 5% chance they will get into a car accident this year. It is expected that a car accident would cost them $100,000 (dropping their overall wealth to $300,000). a) How much would it cost to purchase an actuarially fair insurance policy to cover...
An individual has the utility function: U(x,y)=xyx = $ spent on educationy = $...
An individual has the utility function: U(x,y)=xyx = $ spent on educationy = $ spent on other goodsThe individual receives a voucher that pays $S for education or a lump-sum subsidy of $S.1. What is the optimal bundle with the voucher?2. What is the optimal bundle with the lump-sum subsidy?3. With which option is she strictly better off?
Assume that an individual is risk-averse and has a utility function regarding income that can is...
Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U = Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that the expected salary is 0.90 * 1000 per...
Assume that an individual is risk-averse and has a utility function regarding income that can is...
Assume that an individual is risk-averse and has a utility function regarding income that can is described mathematically as U =√Y. The benefits of increased income are positive, but declining marginal utility. A person with that benefit function knows that there is a ten (10) percent risk of being ill. He is in average sick every ten days. The person receives 1,000 dollar per day when he works, which means that the expected salary is 0.90 * 1000 per day....
Suppose that an individual has a utility function of the form U = Y½ where U...
Suppose that an individual has a utility function of the form U = Y½ where U is utility and Y is income.                        a)   Calculate the utility level for Y values of $10,000, $40,000, $90,000, $160,000, and $250,000 and then plot the individual’s total utility function.                         b)   This individual is currently earning $90,000 but has a 50-50 chance of earning either $40,000 or $160,000 in a new job.                               i)   Calculate the expected income and utility from the new...
Suppose an individual has the following utility function: U(X,Y) = 2XY. Draw the budget constraint when...
Suppose an individual has the following utility function: U(X,Y) = 2XY. Draw the budget constraint when the price of each unit of X and Y are 5 and 4, and income is 120. Find the choice that maximizes utility.
3. Assume and individual has the following utility function: U= 5F+2C If food costs $8/unit and...
3. Assume and individual has the following utility function: U= 5F+2C If food costs $8/unit and clothing costs $25/unit, how much of each will an individual with an income of $1000 purchase? If the price of all goods double, by how much will the individual’s income need to be increased to leave utility unchanged?
A individual has a utility function u(c) = √ c, where c is the individual’s consumption....
A individual has a utility function u(c) = √ c, where c is the individual’s consumption. (The individual consumes his entire wealth.) The individual’s wealth is $40,000 per year. However, there is a 2% chance that he will be involved in a catastrophic accident that will cost him $30,000. PLEASE SHOW WORK a. What is the individual’s utility from consumption if there is no accident? What is his utility if there is an accident? What is his expected utility? b....
An individual has the utility function u = min (x, y). His income is $ 12....
An individual has the utility function u = min (x, y). His income is $ 12. Initially, the prices were px = 4 and py = 1, and the individual consumed the basket x = y = 2.4. Then, px increases to $ 6 (py does not change), and the individual now consumes the basket x = y = 1.71. a) Calculate the compensatory variation of this price change. b) Calculate the equivalent variation of this price change. c) On...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT