2/31/5 Question 7: Given the utility function U = xx. Calculate the particular value of MRCS for he indifference curve that passes through (300, 500). Hence estimate the increase in x2 required o mointoin the current level of utility when r decrenses hy 3 units
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- When utility function U(q1, q2)=min{ 34.6 q1, 17 q2} and q1= 33 and q2= 60 are given, find utility level consumer gains?The value in Y axis has changed from 13.54 to 11.78 and the value in X axis has changed from 9.96 to 4.14, what is the slope of the indifference curve at this point? a. 0.30 b. -3.31 c. -8.01 d. 11.22Utility functions of a consumer: U = 20x10.4x20.4 Specify:a. marginal utility of each item.b. If the consumption of x1seee is 80 and x2 as much as 60 units, the price of Px120 and Px2 25, Determine if there is a balance of consumption?
- given this utility function 95x10.3x20.2x30.25 first the first, second and cross order patial derivative with respect to each of the derivatives x1 x2 x3 what is the total utility derive if x1=24 x2=15 x3=5The monthly profit, in soles, from the sale of q bracelets is given by: U (g) = aq3 + bg² + cq - 5 000 In addition: • It is estimated that the sale of the Twenty-first bracelet generates a loss of 67 soles. • When 100 bracelets have been sold, the marginal utility decreases at the rate of 10 soles / bracelet per bracelet. • It is known that after selling 50 bracelets, the profit decreases at the rate of 250 soles per bracelet. Then: • a = • b = • C =Graph and explain indifference curves for the following situations:(i) An individual has constant marginal utility toconsumption in both periods.(ii) An individual does not derive utility from this period’sconsumption, but does from the next period’sconsumption.(iii) An individual’s utility decreases with consumption inboth periods.
- 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?Determine which, if any, of Properties 4–1 through 4–4 are violated by the indifference curves shown in the following diagramGiven the Utility Function is U = X0.7Y0.3 and Budget is taka 300. The original price was (Px, Py) = (2, 2) and the new price is (Px’, Py) = (4, 2). (a) Draw an angle curve for X by using the above information [Labelling is must] (b) Calculate the value of Compensation variation (CV) and Equivalent variation (EV)?
- If the slope of indifference curve is -0.8 and the change in X axis is 8, what is the change in Y axis? Select one: a. - 10 b. 10 c. - 0. 1 d. - 6.4Depart from the represented preferences U(x,y)= min {x, 4y} 1. Draw two indifference curves for the given utility function and show the preferred points, by providing examples. 2. Explain mathematically the MRS for the different parts of this type of IC.1. Prove if the indirect utility function is quasiconvex The indirect utility function: V(p,w) = w[P1^(p/p-1) + P2^(p/p-1)]^((1-p)/p)