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- Ayana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain.From the demand function Qdx = 12 – 2Px (Px is given in dollar), derive:(a) the individual’s demand schedule and demand curve, and(b) what is the maximum quantity this individual will ever demand of commodity X per time period?Dan's utility function is U(x,y) =9.5 x2.4y4.9. Dan's income is 129.1 dollars, the price of good X is 4.8 and the price of good Y is 6.3, What is the slope of Dan's income expansion path, dy/dx, on a graph where good X appears on the horizontal axis and good Y appears on the vertical axis. Remember not to enter ratios below, such as 3/4, 2/9 etc. Instead enter the number in decimal form.
- Pam is rich and at this high income level, her demand for good X is independent of income and given by X*=40.1- 5 px/py where px and py denote respectively the price of good X and the price of good Y. Assuming the price of good Y is equal to 1, find Pam's compensating variation if the price of good X rises from 2 to 4.3 dollars.Suppose we observe that an individual's demand for good 1 is: 1/(2p,+p2) (where I- income). From this we can conclude that: Goods 1 and 2 are perfect complements O The price of good 1 is higher than the price of good 2 Two answers are correct O Goods 1 and 2 are perfect substitutes Three answers are correct No answer is correct Goods 1 and 2 are normal goods O These goods may be perfect substitutes or perfect complements, it depends upon the utility functionSuppose that there are two goods, gl and g2, that Jane consumes. Demand functions for these two goods are given as follows: gl * = gl(pg1), pg2 ,Inc) g2 * = g2(pg1), pg2 ,Inc) where pg1, pg2 ,Inc refer prices of the goods and income, respectively. Explain and demonstrate (on the graph) the substitution and income effect for both an increase and decrease in price good g1. Use the notations given in the question.
- 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 a piece of jewelry and 2 consecutive drops in its price. Also consider Sara’s demand to be relative elastic in the price range from ?1 to ?2, and that she perceives jewelry as a Giffen good in the price range from ?2 to ?3. Draw her price-consumption curve with well-behaved preferences. Clearly label your graph.Clarice has a utility function: U(Y) = 1000 - (100/Y), where Y is her income. clarice has just graduated from college and has a career choice for her first job of either working as a teacher and earning $40,000 or trying to become a theatre lighting director and earning $70,000 (if there is growth in the demand for theatre) or $20,000 (if there isn't growth in the demand for theatre). there is a 50% probability of growth. a consulting firm guarantees Clarice that it already knows whether there will be growth in the demand for theatre next year. what is the maximum amount Clarice should be willing to pay for this information?
- what problem could arise with consumers' net demand functions as any price becomes zero? what axiom of consumer theory is involved here? how might it be changed to exclude this possibility?Draw the following scenario: Assume a piece of jewelry and 2 consecutive drops in its price. Also consider Alia’s demand to be relative elastic in the price range from ? 1to ? 2, and that she perceives jewelry as a Giffen good in the price range from ? 2to ? 4. Draw her price-consumption curve with well-behaved preferences. Clearly label your graph. The graph may be something like this:A consumer is choosing between magazines and books. His set of čonsumer optimums are shown on the graph to the right. 50 Consumer income allocated for these two goods is equal to $150. The price of magazines (P,) is equal to $5.00. 45- 40 How do these changes in the price of books affect the demand for magazines? 35 demand remains constant 30- We can consider books and magazines to be goods. 25- 20- 15- PCC substitute 10- 5- complementary 0- O 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 unrelated Books O étv 21 MacBook Air DII 80 F10 F11 F7 FB F9 F6 F4 F5 F3 F1 F2 * @ # $ 7 8 9 1 2 4 P T Y Q W J K S F く Z C V command oF option command O 回 .. - つ エ B ** A.