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- Assume that product X is quantified in the following manner:QDX= -2PX + 0,5PY - 0,2PZ + 1,2I. In which:QDX is a quality of product XPX is the price of product XPY is the price of product YPZ is the price of product ZI is the entry of the center of the userMake an argument to determine whether the demand curve for product X will change and how it will change for each of the following cases:i. Consumer income increasesii. The price of product X decreasesiii. The price of product Y increasesiv. The price of product Z decreasesLan's utility function is U = xa y1-a where x denotes her consumption of good X, y denotes her consumption of good Y and a = 0.8. The price of good X is Px = 7, the price of good Y is Py = 14 and Lan's income is M = 338. If each price increases by 2 dollars, how much money must Lan be given to compensate her for the price increase?The market for lemon has 10 potential consumers, each having an individual demand curve P=101-10Q1, where P is price in dollars per cup and Q1 is the number of cups demanded per week by the ith consumer. Find the market demand curve using algebra. Draw an individual demand curve and the market demand curve. What is the quantity demanded by each consumer and in the market as a whole when lemon is priced at P= $1/cup?
- Suppose U = 2X + Y, I = 20, Px = 2, and Py = 2. (a) Find Marshallian demand for X and Y . (b) What is Marshallian demand for X and Y if the price of X increases to 5? How much of the change in demand for X is the income effect and how much is the substitution effect? (c) How much is compensating variation for the price change described in part (b)? (d) How much is equivalent variation for the price change described in part (b)? ( Please solve all the subparts ASAP I will give you thumbs up . )Assume you spend your entire income on two goods X & Y with prices given as PX & PY, respectively. Prices and income (I) are exogenous and positive. Given that U= X2Y 2 , derive the Hicksian demand function for good Y.Mike has two identical brothers. Each of them have the same utility function below. If Mike and his brothers are the only people in the market, what is the aggregate demand at each price of X below? (Each of their income is $100 and the price of Y is always $1). U (x,y) = x^2/5 Y^3/5 Price of X=$8 Price of X=$4 Price of X=$2 Price of X=$1
- a hicksian demand is found by minimizing cost subject to a budget constraint. is it true or false?the Marshallian Demands for the utility function U(x,y) =0.5x + 5ln ya) For this utility function calculate the Hicksian demand functions for x and y.b) Use your Marshallian and Hicksian demand functions to calculate the partial derivative of both Marshallian and Hicksian demand for x with respect to px and the partial derivative of Marshallian demand with respect to income.c) Use your answers for (b) to verify the Slutsky equationIn Example 4.1 we looked at the Cobb-Douglas utility function U(x,y)=xay1-a, where 0<=a<=1. This problem illustrates a few more attributes of that function. a. Calculate the indirect utility function for this Cobb-Douglas case. b. Calculate the expenditure function for this case. c. Shos explicitly how the compensation required to offset the effect of an increase in the price of x is related to the size of the exponent a.
- The government wants to make medicare benefits available to more people, but to achieve this goal, it needs to make cuts in the existing medicare budget. The two areas where they are considering cuts are non-essential elective surgery and 6-12 month mental health care programs. Applying the concept of diminishing marginal utility, the budget cuts should be made for spending on: a. neither can be compared by measuring marginal utility. b. mental health therapy due to its higher marginal return rate. c. elective surgery due to its lower marginal return rate. d. both programs, which have the same marginal return rate.Consider an individual with the following utility function: Derive step-by-step both corresponding Hicksian demand functions depending on the different prices (P₁, P2) and a fixed utility level u. The equation given In picture.do This in 10 minutes.Which of the ff. is correct with regards to the demand curve? A. If the price of the good increases, the demand curve for the good will shift to the left B. If the price of the good increases, the consumers have the incentive to look for substitutes, thus, the quantity demanded and its price are inversely related C. Income of the consumers is written on the vertical axis D. Varying preferences of the consumers is reflected in the demand curve and is written on the horizontal axis