Question

In: Economics

Mandy drinks cranberry juice and vodka in fixed proportions. Her utility function is of the following...

  1. Mandy drinks cranberry juice and vodka in fixed proportions. Her utility function is of the following form:

    U =min{ 84 Cranberry Juice, 92 Vodka}

    The price of vodka is $32 per ounce, the price of cranberry juice is $50 per ounce and her income is $4,561.

    What is Mandy's amount of maximized utility?

QUESTION 23

  1. Mandy gets utility from consuming nutella and doritos. Her utility function is of the following form:

    U = 110 Doritos + 24 Nutella

    The price of nutella is $95 per jar, the price of doritos is $6 per bag and her income is $7,494

    What is Mandy's optimal consumption amount of nutella?

Solutions

Expert Solution


Related Solutions

QUESTION 20 Mandy gets utility from consuming nutella and doritos. Her utility function is of the...
QUESTION 20 Mandy gets utility from consuming nutella and doritos. Her utility function is of the following form: U = 50 Doritos + 87 Nutella The price of nutella is $63 per jar, the price of doritos is $16 per bag and her income is $3,931 What is the MRS(doritos, nutella)? QUESTION 21 The utility function and the prices are the following: U =min{ 80 x1 , 12 x2} P1=50,   P2=52 and I =5,157 What is the optimal amount of...
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...
Lin spends her income on green goods (G) and born goods (B).  Her utility function is Her...
Lin spends her income on green goods (G) and born goods (B).  Her utility function is Her marginal utility for green goods is Her marginal utility for brown goods is Find Lin's demand for brown goods expressed in terms of exogenous parameters
Suppose a firm has a fixed-proportions production function, in which one unit of output is produced...
Suppose a firm has a fixed-proportions production function, in which one unit of output is produced using two workers and one unit of capital. a. Draw the isoquants for this production function, representing labor on the x-axis and capital on the y-axis. b.Define and show the expansion path of the firm. c. Suppose capital is fixed at three units. Show, by means of a line on the diagram, the short run possibilities of combining workers and capital when workers go...
Suppose Paul’s utility is a function of her consumption of soda (X) and slices of pizza...
Suppose Paul’s utility is a function of her consumption of soda (X) and slices of pizza (Y) such that utility U = 10X0.5Y0.4. This means his marginal utility from consumption of sodas is MUX = 5X-0.5Y0.4 and her marginal utility from pizza is MUY = 4X0.5Y-0.6. a.What is the value of Paul’s MRSXY when he buys 20 sodas (X) and 3 slices of pizza (Y)? b.If the price of a soda is $1 and the price of slices of pizza...
Cleopatra spends all her money on bags (B) and shoes (S). Her utility function is U(B,...
Cleopatra spends all her money on bags (B) and shoes (S). Her utility function is U(B, S) = 2B0.5S 0.5 . Her income is $150. Price of shoes is pS = 2. Price of bags depends on the number of bags purchased. Bags cost $5 each if she purchases between 1 and 8 bags. If she purchases more than 8 bags, the price falls to $2 for all subsequent books. (a) Draw Kleopatra's budget constraint where bag is on the...
Cleopatra spends all her money on bags (B) and shoes (S). Her utility function is U(B,...
Cleopatra spends all her money on bags (B) and shoes (S). Her utility function is U(B, S) = 2B^0.5S^0.5 . Her income is $150. Price of shoes is pS = 2. Price of bags depends on the number of bags purchased. Bags cost $5 each if she purchases between 1 and 8 bags. If she purchases more than 8 bags, the price falls to $2 for all subsequent books. (a) Draw Kleopatra's budget constraint where bag is on the horizontal...
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.
(a) Calculate the marginal utility of x1 and x2 for the following utility function u (x1;...
(a) Calculate the marginal utility of x1 and x2 for the following utility function u (x1; x2) = x 1 x 2 (b) What must be true of and for the consumer to have a positive marginal utility for each good? (c) Does the utility function above exhibit a diminishing marginal rate of substitution? Assume that and satisfy the conditions from Part b. (Hint: A utility function exhibits a diminishing marginal rate of substitution if the derivative of the marginal...
Assume a consumer’s utility function is U = √q1 + 2√q2 and her total income is...
Assume a consumer’s utility function is U = √q1 + 2√q2 and her total income is $90. The price of both good 1 and good 2 is $1. (a) (5 points) What is the bundle that maximizes this consumer’s utility? What is the consumer’s utility level at that point? (b) (5 points) Suppose that the price of good 1 drops to $0.50. What is the new bundle that maximizes this consumer’s utility? What is the consumer’s utility at this point?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT