Question

In: Economics

An individual likes to consume 2 goods X and Y . The utility function for this...

An individual likes to consume 2 goods X and Y . The utility function for this individual is U = X+0.5Y . What

is the marginal utility of X and Y ?

The individual has an income of $90. The price of X is $10 and the price of Y is $5. What is the optimal consumption

bundle of this individual? Graph the individuals optimal bundle with the budget line and indierence curve. (answer: Infinitely many solutions).

Do the same question but change utility function to U=X+Y. (Answers must be X=0, Y=18)

Solutions

Expert Solution


Related Solutions

Imagine you consume two goods, X and Y, and your utility function is U = XY....
Imagine you consume two goods, X and Y, and your utility function is U = XY. Your budget is $100, the price of Good X is $4, and the price of Good Y is $25. So, the optimal bundle for you to consume is (12.5, 2). Now the price of good X increases to $10. The compensated price bundle is (7.91, 3.16). What is the income effect on X?
An individual utility function is given by U(x,y) = x·y1/2. This individual demand equation for x...
An individual utility function is given by U(x,y) = x·y1/2. This individual demand equation for x is a factor a of I/px: x* = a (I/px). In this specific case, factor a is equal to ______. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading zero and trailing zeros when needed.)
Esther consumes goods X and Y, and her utility function is      U(X,Y)=XY+Y For this utility function,...
Esther consumes goods X and Y, and her utility function is      U(X,Y)=XY+Y For this utility function,      MUX=Y      MUY=X+1 a. What is Esther's MRSXY? Y/(X + 1) X/Y (X + 1)/Y X/(Y + 1) b. Suppose her daily income is $20, the price of X is $4 per unit, and the price of Y is $1 per unit. What is her best choice?      Instructions: Enter your answers as whole numbers.      X =      Y =      What is Esther's utility when her...
Imagine you consume two goods, X and Y, and your utility function is U = X1/2Y1/4....
Imagine you consume two goods, X and Y, and your utility function is U = X1/2Y1/4. Your budget is M = 630; PX = $10; PY = $30. Now imagine PX increases to $25. The compensated price bundle is (30.9458, 12.8941). What is the income effect on X?
Imagine you consume two goods, X and Y, and your utility function is U = X1/2Y1/4....
Imagine you consume two goods, X and Y, and your utility function is U = X1/2Y1/4. Your budget is M = 630; PX = $10; PY = $30. Now imagine PX increases to $25. The compensated price bundle is (30.9458, 12.8941). What is the income effect on X?
Suppose an individual has the following utility function: U(x, y) = −4(x − 5.5)^2 − 2(y...
Suppose an individual has the following utility function: U(x, y) = −4(x − 5.5)^2 − 2(y − 3.5)^2 Further assume that the price of good x, px = $6, the price of good y, py = $8, and the individual has an income m = $65 a) Draw an indifference curve (one IC is enough) that represents this person’s preferences. Please label the graph properly including values for x and y. b) Intuitively, and without formally solving, can you guess...
Suppose an individual has the following utility function: U(x, y) = −4(x − 5.5)^2 − 2(y...
Suppose an individual has the following utility function: U(x, y) = −4(x − 5.5)^2 − 2(y − 3.5)^2 Further assume that the price of good x, px = $6, the price of good y, py = $8, and the individual has an income m = $65 a) Draw an indifference curve (one IC is enough) that represents this person’s preferences. Please label the graph properly including values for x and y. b) Intuitively, and without formally solving, can you guess...
Suppose an individual has the following utility function: U(x, y) = −4(x − 5.5)^2 − 2(y...
Suppose an individual has the following utility function: U(x, y) = −4(x − 5.5)^2 − 2(y − 3.5)^2 Further assume that the price of good x, px = $6, the price of good y, py = $8, and the individual has an income m = $65 a) Draw an indifference curve (one IC is enough) that represents this person’s preferences. Please label the graph properly including values for x and y. b) Intuitively, and without formally solving, can you guess...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) =...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) = 5?2 ?. The price of Y is $2 per unit, and the price of X is P. Income is $2,400. A.) Derive the demand curve and state the law of demand in relation to your product or service. B.) ? = 800 − 10?0.5 . Calculate elasticity of demand when Q=100, Is the good elastic? C.) ? = 800 − 10?0.5 − 0.5?. Calculate...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) =...
Suppose that there are two goods, X and Y. The utility function is ?(?, ?) = 5?2 ?. The price of Y is $2 per unit, and the price of X is P. Income is $2,400. A.) Derive the demand curve and state the law of demand in relation to your product or service. B.) ? = 800 − 10?0.5 . Calculate elasticity of demand when Q=100, Is the good elastic? C.) ? = 800 − 10?0.5 − 0.5?. Calculate...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT