7 Derive Marshallian/Ordinary Demand for both x utility functions a) U(x, y) = min[1x, 6y] 。) U(x, y) = 30/n(x) + y MUX=30 MUy = 1 c) (/(x, y) = 4x +3v MU₁ = 4 MU₁, = 3
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![7 Derive Marshallian/Ordinary Demand for both x and y for the following
utility functions
a) U(x, y) = min[1x, 6y]
b) U(x, y) = 30/n(x) + y
c) U(x, y) = 4x + 3y
MUX
wwwmmmah
30
X
MU₂ = 1
MUX = 4 MUy = 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F675baeb6-e327-4788-a127-a838e49dadb4%2F4aa2bf07-9d2e-40b3-8d30-29db42f9829e%2Fpt5twqg_processed.png&w=3840&q=75)
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- Demand for Orange Juice is given as Qd = 5000 – 2500 P + 1200 I + 650E – 255 Ps Suppose Income is I = Rs.500, Expectations E = 55, and Price of Ps = Rs 25. Find the Demand Equation. Using the demand function from part a., Calculate Elasticity of Demand for price range of Rs.125 and Rs.155. What will be the ‘Price Elasticity of Demand’ at P = Rs.125? Interpret the Elasticity of Demand calculated in (C) above.Demand for Orange Juice is given as Qd = 5000-2500 P + 1200 I +650E - 255 PS Suppose Income is I = Rs.500, Expectations E = 55, and Price of Ps= Rs 25. Find the Demand Equation. b. Using the demand function from part a., Calculate Elasticity of Demand for price range of Rs.125 and Rs. 155. What will be the 'Price Elasticity of Demand at P = Rs.125? d Interpret the Elasticity of Demand calculated in (C) above.Jiffy-Pol Consultants is paid $1,000,000 for each percentage of the vote that Senator Sleaze receives in the upcoming election. Sleaze’s share of the vote is determined by the number of slanderous campaign ads run by Jiffy-Pol according to the function S = 100N/(N + 1), where N is the number of ads. If each ad costs $4,900 approximately how many ads should Jiffy-Pol buy in order to maximize its profits? A) 2,853. B) 1428. C)98 D) 477.
- Demand for Orange Juice is given asQd = 5000 – 2500 P + 1200 I + 650 E – 255 PsSuppose Income is I = Rs.500, Expectations E = 55, and Price of Ps = Rs 25.a. Find the Demand Equation.b. Using the demand function from part a.,Calculate Elasticity of Demand for price range of Rs.125 and Rs.155.c. What will be the ‘Price Elasticity of Demand’ at P = Rs.125?d. Interpret the Elasticity of Demand calculated in (C) above.Let the following demand and supply equations be respectively:D = 5p ́ ́-4p ́ + 11S = 6p ́ ́-2p ́ + 5p-4Find p (t) with the hypothesis that the market is in equilibrium with the conditionsinitials p (0) = 4 and p ́ (0) = 7an entrepreneur is setting up a storage facility which will provide storage bothat peak times and off peak times.The entrepreneur need to decide how much money storage Q1 t to supply at peak times, and how much storage Q2 to supply off peakit also needs to decide how to set up capacity K, where capacity is such that both K is equal or plus Q1 and K is equal or plus Q2The peak period demand fan storage is given by PI=7200 -Q1 and the off peak is give by P2=5400 -Q2 where P1 and P2 are the prices for units of storage at peak times and off peak respectively.the variable cost is 200 per unit of storage supplied and capacity costs are 100 per unit. Hence profits fpr the entrepreneurs are given by:(7200-Q1) Q1+ (5400-Q2) Q2 - 200 (Q1+Q2)-100 K where Q1 is less or equal K and Q2 is less or equal Ka) write down the Kuhn-Tucken conditions for this proble. b) Find the optimal outputs and capacity for this problemc) now suppose there is a substancial increqse in capacity costs, which rise to 2000…
- Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the orignal demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. Keeping this supply curve fixed, suppose the demand curve next year will be given by P=3,400-2Q. What would be my rate of return if I bought the bond at the equilibrium price today and sold it at the equilibrium price tomorrow? 5% -.05% 10% -5%The manager of a hockey arena is pricing tickets for an upcoming game. She knows that if she increases the ticket price she will sell fewer tickets. The situation is modelled by the relation, R = -88.9p^2 + 2667p, where R is the total revenue and p is the ticket price, both in dollars. The graph is given.Demand for Orange Juice is given as Qd = 200 – 300 P + 120 I + 65 T – 250 Pc + 400 Ps Suppose Income is I = $10, Expectations T = 60, Price of Pc = $15 and Ps = $10. Find the Demand Equation. Using the demand function from part a., Calculate Elasticity of Demand for price range of $10 and $11. What will be the ‘Price Elasticity of Demand’ at P = $10? Interpret the Elasticity of Demand calculated in (C) above.
- Consider the “Trip Logistic” example discussed in class (i.e. base case). Please solve the same problem with each of the following changes, and compare the results with those of the basecase: a) The spot market price (in period 0) is reduced to $0.55 per sq. ft. per year. Assume that everything else remains the same as the base-case. b) There is a lower demand uncertainty: Demand can go up by 5% with p= 0.5 or down by 5% with 1 − p= 0.5. Assume that everything else remains the same as the base-case.QUESTION 8 Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the orignal demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. Keeping this supply curve fixed, suppose the demand curve next year will be given by P=3,400-2Q. What would be my rate of return if I bought the bond at the equilibrium price today and sold it at the equilibrium price tomorrow? 5% -.05% 10% -5%Suppose that you buy a share of a CEF with a price of $24 and NAV of $30. This means that the CEF is trading at a 20.00% discount. Suppose that a few weeks later the price is $24 and the NAV is $36. As a result of this change, the discount has decressed/incressed.
