Which of the following statements is correct? The consumer's indifference curves are concave. An indifference curve is downward sloping because of the consumer's preference for diversity. O The consumer's budget constraint is bowed in toward the origin. When the consumer optimizes, the marginal rate of substitution of leisure for consumption equals the real wage rate.
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- What is the budget line for consumption (C) and leisure (L) if a person faces a constant wage of $12 per hour, there are 110 hours in the week to work, and she receives nonlabor income of $300 per week?Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves.Moe and Curly both face the same budget line for consumption and leisure. At every possible consumption-leisure bundle on the budget line, Curly always requires marginally more leisure than does Moe in order to be equally happy when asked to forego a dollar of consumption. Using a standard budget line, graph the indifference curves for Moe and Curly that shows the optimal consumption-leisure bundle for both people. Which person optimally chooses more consumption? Which feature of indifference curves guarantees this result?
- If a consumer is rational and maximizing utility, their Marginal Rate of Substitution will be equal to the price ratio. Why is this?It is proven mathematically that indifference curves are convex due to:(a) rising marginal rates of substitution.(b) the inverse association between the quantity demanded and the price.(c) costs decreasing in value.(d) the marginal rates of substitution being negative.How would you demonstrate part c) diagramatically 6. Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves. c) Use indifference curves and the feasible set to show why, given the properties of the optimal choice in part b), it is not optimal to work, say, 10, or 6 hours per day.
- Labor-Leisure choice. Uses 80 hour maximum work week. Utility = R3C2 R = leisure C = dollar amount of income for consumption Budget Line 1: Wage = $16 per hour. No other income. Draw the Labor-Leisure diagram, including the budget line. Solve the point of optimization, and label it point A. Draw the indifference curve. Label it U1 Budget Line 2: Wage = $22 per hour. No other income. Draw the budget line for this new $22 wage. Solve the point of optimization, and label it point B. Draw the indifference curve. Label it U3 Use an auxiliary budget line to separate the income effect from the substitution effect. Identify the substitution effect as point S. Draw the indifference curve. Label it U2 The point of optimization for part C can be labeled, rather than numerically solved, as long as the drawn answers show expected results for two normal goods.John works in a shoe factory. He can work as many hours per day as he wishes at a wage rate w. Let C be the amount of dollars he spends on consumer goods and R. be the number of hours of leisure that he chooses. John's preferences are represented by U(C, R) = CR utility function Question 2 Part a John earns $8 an hour and has 18 hours per day to devote to labor or leisure, and he has $16 of nonlabor income per day. Draw John's indifference curves, budget constraints and solve for his optimal consumption and leisure choices.Consider the optimal choice of labor and leisure discussed in class and the text. Suppose a consumer works the first 8 hours of the day at a wage rate of $10 per hour, but receives an overtime wage rate of $20 for additional time worked. a. On an optimal choice diagram, draw the budget constraint. (Hint: it is not a straight line.) b. Draw a set of indifference curves that would make it optimal for him to work 4 hours of overtime each day. Pls solve both for upvote
- Assuming we have a choice where we work and how many hours we want to work, what determines the number of hours we will work? Marginal changes in our opportunity cost (utility) of leisure as income increases (the substitution effect) Marginal changes in the utility of our income as total income changes (the income effect) It is based on how much money we need to meet our basic needs A combination of A and BConsider a utility function: U (F,C) = FC so MU_F = C and MU_C = F Total income is $120 and per unit prices of Food (F) and Cloth (C) are $2 and $10, respectively, then: a) What is the value of MRS at the optimal point and what does this value mean? b) What is the optimal consumption bundle i.e (F*,C*)? c) Also plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) spaceWith the substitution effect an individual will substitute their time between leisure and work, choosing to work more and take less leisure when wages ______________