Assume that the individual has a utility function given by U(I, x) = 0.5 In(1) + 0.5 In(x), with px = 1, T = 16, and Y = 32. There are no taxes on labor earnings (for simplicity). (a) What is the individual's reservation wage in this case? (b) If the individual is offered a wage of w = 12, how many hours of leisure does she consume? (c) There is a new government policy designed to provide transfers to individuals with low consumption. All individuals with a total in- come (i.e., non - labor and labor income) no more than 82 dollars are given a transfer of 50 dollars. What is this individual's labor supply decision in this case?
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- (5) Steven has non-labor income each week of $500. He can work up to 100 hours per week foran hourly wage of $10 per hour. His utility for recreation (R) and consumption (C) is given byU(R, C) = 2R2C. What is Steven’s reservation wage if the price of consumption is unity?(a) $30(b) $40(c) $50(d) $60(e) None of the abovePlease correct answer and don't use hand rating(a) Assuming working at home gives you a wage of $100, what would your wage be working in thecubicle office? In the shared workspace?(b) What is the compensating wage differential between these jobs?(c) Explain why the wage is different in each situation, and give an example of another industry-/situation with a compensating wage differential.
- (i) Keith’s marginal utility of leisure is C – 20 and his marginal utility of consumption is L – 50. There are 110 hours in the week available to split between work and leisure. Keith receives £250 of welfare payments each week regardless of how much he works (assume he spends all of his welfare payments on consumption). What is Keith’s reservation wage? (ii) Suppose Danny receives the same welfare payments each week as Keith and has the same number of available hours (110). However, Danny’s indifference curve is flatter than Keith’s. How would his reservation wage compare to Keith’s? Why?One employee of a computer store is paid a base salary of $4000 a month plus an 8% commission on all sales over $6000 during the month. How much must the employee sell in one month to earn a total of $5000 for the month? Write an equation required to find the solution, using x to represent the amount of sales, in dollars, by the employee. 8 4.000 + x+100 (Use integers or decimals for any numbers in the equation. Do not simplify.)Edie chooses to work 90 hours per week when the wage rate is $16 per hour. If she is offered time-and-a-half ($24 per hour) for “overtime work” (i.e., hours in excess of 90 per week), will she choose to work longer hours? Support your results with a diagram.
- Consider a consumer with the following utility function for consumption and leisure: U(R,C) = 160 In N +Y where N is the hours of leisure ("recreation") consumed per day (24 maximum) and Y is dollars spent on consumption (p = 1). The consumer has an hourly wage w. (a) Assume the consumer derives all income from work at a wage rate w. Derive the labor supply function, LS (w). (b) For what values of w does the consumer work zero hours? (Hint: does a corner solution arise?) (c) Suppose that w = 10. How many hours does this consumer work? If the wage rate increases to w' = 16, how many hours do they work? What is the total effect on the supply of labor?Question Four a) TA worker chooses to work X hours per week, at a wage of $9 per hour. An overtime rate of $12 per hour is then offered, for hours in excess of 40; in this situation, the worker chooses to work Y hours per week. Finally, the $12 wage is offered for all hours worked, and the worker chooses to work Z hours per week. What can be said about the relationship between X, Y and Z (for example, is Y greater than Z)? Explain your answer in terms of income and substitution effects. b) College education is heavily subsidized by the governments. give an economic arguments for or against these subsidies./
- Suppose the wage rate for labor is $20 an hour and the rental rate for capital is $50 per hour. Based on this information, please answer the questions appearing below the graph. 80 70 60 50 40 30 20 10 10 20 30 40 50 60 70 80 1,000 cases Labor Draw an (approximate) is-cost line associated with an hourly budget of $1,000. Hint: Find the intercept points first. If you were to shift this line out, what is the approximate least-cost combination of labor and capital when packaging 1,000 cases of fruit juice?Suppose that a salesperson earns a basic monthly salary of $800 plus a commission rate is 15% and the possible bonuses are lump-sum amount of $1000 if her monthly sales exceed $10,000 and a further lump-sum of $2,500 if her monthly sales exceed $15,000. Find the function that relates sales to earnings for this salesperson and graph it. At which points is the function discontinuous? Interpret the incentives created by this pay scheme?dien There are two factors in a production function y = x 113 x₂¹1³. The market price of each unit ofy is p=3, and the factor prices are w₁=1 and W₂=2 for x₁ and X₂ respectively. variable (a). Calculate your cost function as a function of y if X, and x₂ are both barible factors. (b). Now derive the functions of average and marginal cost and plot them against quantity (C). Solve for your optional output of y. Calculate the ratio of two factors (X₁/X₂) (d). In the short run the fixed factor is set at X₂=1. What is the new optimal output level now?