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The demand function for a particular good is x = a + bp. What are the associated direct and indirect utility functions?
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- The demand function for a particular good is x = a + bp+cm. What are the associated direct and indirect utility functions?The horizontally oriented definition of DEMAND states that "demand is the quantitites of a good that buyers are willing and able to buy at various prices in a given time interval." Which of the following statements are TRUE? If I really like a good, it does not matter how much I am able to afford to spend on it. The demand for a good is a specific amount. Demand is a behavioral relationship expressing what quantities buyers would want and be able to buy at various prices. If I can't afford to buy a product at today's available prices, I do not have a demand. The demand is all the possible price quantity combinations Demand depends on the availability of supply. Demand is a relationship between price as a variable and quantity demanded as a variable. Demand is a flow and requires a time interval be be fully understood.Suppose consumers A and B have the following demand functions for x: For each consumer, is x is a normal good or an inferior good? Explain why.
- The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of units produced and sold during a month.How many units must be produced and sold to maximize utility? What is the maximum utility?a)Assume that the typical consumer always spends a small share of her overall budget on Vietnamese meals and use the utility maximization conditions to find the demand for Vietnamese food of the typical consumer (keep in mind that since utility is quasi-linear, you can find demand without information about the consumer’s weekly budget). b) Sum across consumers to find the weekly market demand for Vietnamese meals in NYC.The utility function of a consumer is given as follows. U(x, y) = x²y³, MU, = 2xy3 and MU, = 3x?y?. a. Derive the demand functions for good x and good y. b. Draw a demand curve. Draw an Engel curve. Is good x a normal good? С.
- The marginal utility is represented by the: Price P a b Q S D Quantityexplain how utility analysis leads to the law of demand.Suppose the market demand curve for pizza can be expressed as QD = 100 - 2P + 3Pb, where QD is the quantity of pizza demanded, P is the price of a pizza, and Pb is the price of a burrito. What is the slope of this demand function, and what information does the slope provide?..
- Let a1 and x2 denote the quantities consumed. The consumer's preferences are represented by the utility function: U (r1, 22) = V+ VT2. Suppose the consumer has income m =100 and that the prices for the two goods are pi -2 and p2=8. Calculate the optimal quantity demanded for good 1.Let x and y denote the amount of goods X and Y. Find the demand functions of X (do not need to find that of Y) when your preferences are represented by the utility function U = x + xy + y. Is X normal good? Can you confirm law of demand for X? What is the relationship of X with Y? Answer all of them by using the demand curve you derivedUtility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function. a) Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b) Why do the average rates of change decrease as x increases? a) The average rate of change of U as x changes from 0 to 1 is. (Type an integer or a decimal.) C Utility (pleasure units) AU 200- 150- 100- 50- 0 (1,67) (2,106) I (3,134) (4,156) 2 Number of units of product 4 X
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