For the Income-Consumption Line & Engel Curve: (kindly place Good A on the X-axis & Good B on the Y-axis) If the consumer's tastes are given by the Indifference curves schedule and Pa = P1.00, Pb= P1.00 and original budget = P10.00, what happens if budget decreases to P6.00 and then increases to P14.00, assuming that tastes and prices of the two goods are constant. Create the new budget schedules.
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For the Income-Consumption Line & Engel Curve: (kindly place Good A on the X-axis & Good B on the Y-axis) If the consumer's tastes are given by the Indifference curves schedule and Pa = P1.00, Pb= P1.00 and original budget = P10.00, what happens if budget decreases to P6.00 and then increases to P14.00, assuming that tastes and prices of the two goods are constant.
Create the new budget schedules.
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- Why is the consumer’s MRS equal to the price ratio at the optimal consumption point? Givea graphical interpretation of this fact in XY space (hint: what do we know about the indifferencecurves and the budget line?).Draw two axes: on the horizontal axis (x-axis), represent the quantity of good x, and on the vertical axis (y-axis), represent the quantity of good y. Plot the initial budget line. The equation for the budget line is m = px * x + py * y. You can rearrange it to solve for y: y = (m - px * x) / py. With given values for m, px, and py, you can plot the line that represents all combinations of goods x and y that the consumer can afford. Plot the indifference curves. These curves represent the combinations of goods x and y that give the consumer the same level of utility. Due to the complexity of the given utility function U(x, y) = xy / (x + y), it may be challenging to plot the exact indifference curves. As an alternative, you can use a simpler utility function for demonstration purposes, such as U(x, y) = x^a * y^b (where a and b are positive constants), which results in easier-to-plot curves. Locate the initial optimal consumption bundle, which is the point where the budget line is…7. Suppose U = x₁x2 and the budget constraint is given as x₁ + 1 = B, solve for x and 1-α 8. Suppose U = xx and our budget is given as p₁x₁+P2x2 = m, where m is our income. Solve for solve for x and x₂. 9. Suppose now we want to minimize our expenditure while achieving a certain amount of utility. So say our budget is given as P₁x₁ + P2x2, which we want to minimize, while our utility x and x = u, where u is the level of utility we would like to achieve. Solve for x and x₂.
- A consumer with income I=120 facing prices pX = 4 and pY = 8 for two goods X and Y (for each good she prefers more to less) chooses optimally to consume 12 units of X. If the prices change and now pX = 6 and pY = 4, what is the possible range for her optimal X consumption? (like, x >/ 7 or 10 >/ x >/7…etc. Use indifference curve analysis on a graph to reason about the possible locations of the new optimal bundle.)Suppose a consumer has utility function U(X, Y) = X2/3Y1/3. Suppose the consumer has M =$90 to spend and the prices of goods X and Y are PX = $15 and PY = $6 . a. Carefully express the consumer’s choice problem, using the given information (this is whereyou write out the max operator, the choice variables, the objective function, and the budget constraint). b. Compute the absolute value of the consumer’s marginal rate of substitution, and inspect it todetermine the shape of the consumer’s indifference curves: C-shaped, linear, )-shaped, or some other shape.To show your work, neatly use the arrow argument, increasing X (↑) and decreasing Y (↓) to see whether|MRS(X, Y)| is diminishing along an indifference curve. c. If the indifference curves are C-shaped write out the budget line and the equal slopes conditionthat characterize an interior solution to the consumer’s choice problem. Use the particulars for the givenconsumer. Solve these conditions to find the interior solution. On the…Suppose that the average consumer has $300, is only choosing between buying shoes (currently $60) and concert tickets (currently $30). Their indifference curves are given in the graph below. a.) To get the highest utility consistent with their budget, this person will buy ____ pairs of shoes and _____ concert tickets. b.) Instructions: On the graph below, use the "Budget Line" tool to indicate a budget line that corresponds to your answer in part a. 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.
- 1. Is it impossible for two indifference curves to intersect one another? why? 2. What does it mean that preferences are complete? Now would the real-life implica- tions of this assumption look like?Question 2 David spends his budget on chocolate and chip. His utility function is given by ?(?1,?2)= 2?1?2, where ?1 is the number of chocolates he consumers per week, and ?2 is the number of chips he buys per week. A chocolate costs 10 SEK, and a chip costs 20 SEK. David’s weekly budge for consuming on these two goods is 120 SEK. (1) What is David’s budge line? Draw the budget line on a graph with chocolate amounts on the horizontal axis and chip amounts on the vertical axis. Write explicitly at which points budget line crosses the axis. (2) What is David’s marginal utilities for the two goods, respectively? What is his marginal rate of substitution between the two goods? (3) What is David’s optimal choice? Calculate the numerical answer for the optimal bundle. Also draw an indifference curve for David on the same graph as question(1) and show the optimal bundle.Brian spends his entire monthly income of $1200 on shoes (S) and pizzas (P). The price of a pair of shoes is $60, and the price of a pizza is $20. If he consumes 10 pairs of shoes and 30 pizzas, his MRS is 2P/1S. (A quantity of shoes is measured along the x-axis, and a quantity of pizza is measured along the y-axis.) His choice is optimal. True False
- What is the logarithmic transform of the utility function U=xα1xβ2xγ3 given the budget constraint px1x1+px2x2+px3x3=M . Select one: a. ln U=ln xα1+ln xβ2+ln xγ3 b. ln U=ln xγ1+ln xβ2+ln xα3 c. ln U=α ln x1−β ln x2−γ ln x3 d. ln U=α ln x1+β ln x2+γ ln x32. Sally consumes two goods, X and Y. Her utility function is given by the expression U = 3XY². The current market price for X is £10, while the market price for Y is £5. Sally's current in come is £500. (a) Sketch a set of two indifference curves for Sally in her consumption of X and Y. (b) Write the expression for Sally's budget constraint. Graph the budget constraint and determine its slope. (c) Determine the X,Y combination which maximises Sally's utility, given her budget constraint. (d) Calculate the impact on Sally's optimum market basket of an increase in the price of X to $15. What will happen to her utility as a result of the price increase?Milo spends £27 on stamps (S) and maple candy (C). His preferences for these goods are given by the following utility function: U(S, C) = min (S, 3C). Suppose that price per unit of S is £1.1 and the price per unit of C is £2.1. a) Write down Milo's budget equation and draw the corresponding budget line. Clearly label the axes and calculate the coordinates of the points of intersection of the budget line with each axis. In your graph, indicate the consumption bundle of 12 stamps and 6 maple candies. Can Milo afford this bundle? Explain. b) Find Milo's optimal consumption bundle, both algebraically and graphically. Explain your reasoning. c) If the price of a stamp increases to £1.4, how should Milo's income change for him to be as well off as before this change in prices? d) Discuss the implications of the price change from c) on Milo's optimal choice. In your discussion, include the analysis of the substitution and income effects as well as Milo's demand for stamps and/or maple candy.