Multivariable Unconstrained Optimization. Solve for critical values and check for the sufficiency condition for an extremum. 1. Max utility: U = 4X0.5y0.5, Px = 2, Py = 8, Budget = 100 IV.
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- An individual´s utility function is U = x0.5 y0.5 While the budget constraint is x + 4y = 100 Derive the expenditure function. Calculate the CV and EV when the price of the good x increases from 1 to 4.Q1 (b) – each graph needs to be approximately half page in size. All the axis need to be labeled. The TU values need to be scaled as follows: 10, 20, 30, 40, 50, 60 – with 2 cm gaps. The MU values need to be scaled as follows: -5, 0, 5, 10, 15 – with 2 cm gaps. b) Using the values from the above table, “Plot” (on separate graphs) i) Total Utility ii) Marginal Utility graphsUtility Function: U(X,Y)=X1/2Y1/2 Budget Constraint: X+2Y=12 If the price of good Y changes to Py=3, what is the compensating variation? (Round to the nearest one-tenth) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Q1 (b) – each graph needs to be approximately half page in size. All the axis need to be labeled. The TU values need to be scaled as follows: 10, 20, 30, 40, 50, 60 – with 2 cm gaps. The MU values need to be scaled as follows: -5, 0, 5, 10, 15 – with 2 cm gaps. b) Using the values from the above table, “Plot” (on separate graphs) i) Total UtilitySuppose you have a budget of $200 to spend on two goods, X and Y. Good X costs $10 and provides a utility of 500 - 2q, where q is the amount consumed. Good Y costs $5 and provides a utility of 500 - 3q. What combination of consumption of these two goods will maximize your overall utility? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.How does a consumer maximizes their utility given that they experience a budget constraint? Explain with graphical illustrations. Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.
- Indifference curve assumption where consumers aim to maximise utility given income andprices of products is called ________________________assumption.A. Ordinal util.B. Non-satiety.C. Rationality.B. Transitivity2. Economic profit =A. Total Revenue – Explicit costs.B. Total Revenue – Total costs.C. Total Revenue – Implicit Cost.D. Total Revenue – Opportunity cost.3. _____________________is a firm that owns, controls and manages assets in many countries.A. Sole trader.B. Partnership.C. Multinational firm.D. Monopoly.4. Which one of the following is remuneration for capital?A. Wages.B. Interest.C. Profit.D. Rent 5. ____________________is market structure with one single seller.A. Monopolistic competition.B. Monopoly.C. Perfect competition.D. Oligopoly.6. Complete the following table to answer question 6: Quantity of oranges Total utility Marginal utility 0 0 1 10 2 25 3 31 4 35 5 37 6 33 At which level of…Evaluate the one specific law which states that the marginal utility of a good orservice declines as more of the good or service is consumed in a specific timeperiod.Which among the following is not true?Select one:a. None of the answers are correctb. When marginal utility declines, a higher price is needed to induce the consumer tobuy more of a particular productc. When marginal utility declines, a lower price is needed to induce the consumer tobuy more of a particular productd. All the answers are correcte. Utility maximizing rule and the demand curve are logically consistent
- Can you assist me with this? Troy has preferences for laptops (L), and drones (D). Laptops costs $750 a unit and drones costs $2000 a unit. Troy has $15000 to spend on both goods. Troy is a utility maximizer. Describe the utility maximization condition. Using the available information at what value is utility expected to be maximizedI have two utility equations U= x^2 + y^2 U = x + ay Please draw the IC curves for each of them. And also, find the cost function associated with them and detailed steps. P.s The cost function for U= x+ay is u.min((p(x),p(y)/a)), but do not know how to get iExplain the technique of constrained optimization in relation to utility functions and how it relates to consumer equilibrium.