Suppose that a consumer's indifference curve map does not obey the assumption of a diminishing MRS, then а. the individual will buy none of good X. b. tangencies of indifference curves to the budget constraint may not be points of utility maximization. С. the budget constraint cannot be tangent to an appropriate indifference curve. d. the individual will not maximize utility.
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- i. It is known that the indifference curve is convex. What does this tell you about the relationship between the goods? ii. Assuming that seafood is your favorite food. Would the law of diminishing marginal utility apply to your consumption of seafood? iii. Using examples, does an increase in income affect a consumer’s budget line? Does it impact their total utility.Assume the prices of product X and Y are $1.50 and $1.00, respectively, and that Mr. Chen has $24 to spend. Assume a normal indifference curve. Assume that Mr. Chen needs 4 of product X to maximize utility. a. What is the slope of Mr. Chen's budget constraint. b. Write out Mr.Chen's equation to his budget constraint. c. What combination of X and Y will Mr. Chen purchase? d. Now assume that the price of Y changed from $1.00 to $2.00, redo part a, b and c,2. 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?
- MCQ2. Which of the following is used to depict alternative combinations of goods that are equally satisfying? A. B. None of the below. An indifference curve. A demand curve. C. D. A budget constraintU(x, y) = xayb A consumer maximises utility subject to a budget constraint M = Pxx+Pyy Where px is the price of good x, py is the price of good y and M is the budget available. a. Derive an expression for the marginal utility of x. Under what condition is the marginal utility diminishing. b. Derive an expression for the marginal utility of y. Under what condition is the marginal utility diminishing.Assume that you only buy two goods, fish and Fanta soda. You are analyzing your personal consumption for the two goods. Assume that you have a weekly budget of $80, fish costs $5 per Ib and Fanta costs $2 a soda. a. Draw your budget line with Fanta on the y-axis. Calculate the x and y intercepts as well as the slope of the budget line. Include your personal indifference curve to show your optimal consumption between the two goods (assume that your indifference curve is such that you consume positive values of each good). 3. Assume that the price of fish falls from $5 per Ib to $4 per Ib. On a new graph draw the change in price along with the new intercept(s) and new optimal consumption point.
- Provide short answer for the following? Diminishing marginal utility. 2. Indifference curve?A. Explain, using an indifference curve and a budget line, the concept of consumer equilibrium. B. What are the assumptions on which indifference curve theory is based?2. 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 income 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?
- Assume the prices of product X and Y are $1.50 and $1.00, respectively, and that Mr. Chen has $24 to spend. Assume a normal indifference curve. Assume that Mr. Chen needs 4 of product X to maximize utility. 1. What is the slope of Mr. Chen’s budget constraint. 2. Write out Mr.Chen’s equation to his budget constraint. 3. What combination of X and Y will Mr. Chen purchase? 4. Now assume that the price of Y changed from $1.00 to $2.00, redo part a, b and c, 5. Draw the budget constraint graph and indifference curve before the change and after the change in the price of Y. Explain the substitution and income effect for this change. 6. Now assume instead of a price change, Mr. Chen’s budget changed from $24 to $30, and the prices are still $1.50 and $1.00 for product X and Y respectively. Redo parts a, b, c and draw the before and after change on the budget constraint and indifference curve. Questions 1-3 Have Been Answered Please 4-6.In situation I below the utility maximizing consumer buys bundle C. Draw an indifference curve (IC) going through C Is it conceivable that in situation II the consumer will buy B? Explain. What about D? Explain.a. Define a budget line. b. Ilustrate and explain why indifference curves cannot intersect. c. With the use of a diagram, describe a consumer equilibrium.