1. Consider a consumer with the utility function u(x, y) = 2x¹/2 + y, an income of I = Rs100, and price of good y is Rs 1. A) Find the demand functions for goods x and y. B) If, ceteris paribus, price of good x decreases from Rs 4 to Rs 3, what is the compensating variation?

Suppose your income is 200, the price of good x is 2, and the price of good y is 3. You know that your utility function is U= 2(xy)^3.  (A) What amounts of x and y do you choose? (B) Can you generalize your choices to demand curves for x and y for any prices and income?

4. Tim wants to maximise his utility given his utility function of U (A, B) = A² B¹. He faces the following prices and income: PA = 25; PB = 20; M = 250. However, a change in the price of good A to PA 22 will change his optimal bundle. If he is only interested in being able to consume his original bundle of goods, how much income would he need after the price change? = (a) Tim would require £54 less income (b) Tim would require £18.33 more income (c) Tim would require £10 less income (d) Tim would require £16.66 more income (e) Tim would require £16.66 less income

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A consumer’s preferences over two goods x and y are given bythe utility function U(x, y) = xαyβ with α, β > 0. The prices of the goods are px = 2 and py = 4.The consumer has an income of I > 0.(a) For what values of α and β are these utility functions strictly monotone?(b) For what values of α and β will the consumer demand (i.e., Walrasian demand) be more x than y?(c) For what values of α and β are these goods gross substitutes? For what values of α and β are these goods gross complements? Provide a justification for your answer.

Question 3: Robert's utility is given by U(x,x)=ln x + ln y, and therefore MUX-1/x and MUX-1/y. Let the prices and income be Px. Py and m. a. Find Robert's demand for x and y b. How is Robert's demand for x affected by an increase in Py? Explain

Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. d. Use the equation from part (c) and the budget constraint from part (a) to find Rick’s demand for each of the two goods. e. Suppose m=100 and p=1. How much of each good does Rick consume? Draw a graph showing Rick’s budget constraint and indifference curve passing through his chosen consumption bundle. f. Suppose m=100 and p=2. How much of each good does Rick consume? On the same graph from part (e), show Rick’s budget constraint and indifference curve passing through his new chosen consumption bundle.

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Hello, can you double-check these answers, please? I already got the answers to these questions but I wanted to make sure they are correct?  3) When the price of a good falls and customers tend to buy more of it instead of other goods, economists call this the ________ effect.      A) substitution B) diminishing marginal utility C) income      D) ceteris paribus Correct: D   11) Suppose that it is observed that the price of a commodity rises and that the quantity sold falls. From this we can deduce      A) that the demand curve has shifted to the left, but we cannot deduce whether or not the supply curve has shifted. B) that the demand curve has shifted to the right, but we cannot deduce whether or not the supply curve has shifted. C) that the supply curve has shifted to the right, but we cannot deduce whether or not the demand curve has shifted. D) that the supply curve has shifted to the left, but we cannot deduce whether or not the demand curve has shifted  Correct: A   35) When a…

Ricky has utility function u=x'y. This implies that MUx=2xy. MUy=x². His income is 100. The price of y is 10. (a) Find his demand for x at price 20. (b) Find his demand for x at price 30. (c) Write down his demand function for x: that is, write down his demand for x as a function of the price of x.