How high must be the new salary for the person to switch the job.
Explanation of Solution
The current salary of the individual is $115,600 per year, which gives a utility of 340. Since the main concerns of the individual is the utility from the income, the individual must be offered an income that provides a utility of over 340 utils. The probability of the company's success can be calculated by setting the probability equal to 'p' as follows:
Let the probability of success be 'p'. Then the salary from the new job would be equal to the fixed salary and the probable profit that the individual can make. This can be calculated as follows:
Thus, P must be equal to 0.21. Thus, substituting the value in the equation gives the expected value of the salary that the individual must receive in order to switch the job. This can be calculated as follows:
Thus, the new salary must be equal to $132,750 per year, which means that the new salary must be higher than the existing salary by $17,150 in order to to switch the job.
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Chapter 17 Solutions
Principles of Economics (12th Edition)
- Consider the following utility function U (X,Y) = X÷Yi. What is the name for a utility function of this form? O Perfect substitutes O Fixed proportion O Cobb-Douglas O Negative exponential b. Fix a utility level U = 10. Fill in the blanks below. Instructions: Round your answers to 2 decimal places and enter your result for the MRS as a negative number. When X= 10, then Y= The corresponding marginal utility of X is , the marginal utility of Y is and the marginal rate of substitution for X with Y isarrow_forwardTerry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 5 45 35 10 34 10 90 59 15 48 15 135 77 20 56 20 180 86 25 60 25 225 92 30 65 30 270 98 35 69 35 315 103 40 72 40 360 107 1. Fill in the Marginal Utility columns above. 2. What will be Terry’s total utility from both leisure and income when working 20 hours per week? Is this the correct answer: 56+86=142arrow_forwarda) Chika has calculated the marginal utility that she derives from her paid employment and from leisure. This is presented in table below. In her ideal world, where she could work as few or as many hours as she wished, how would she allocate her sixteen waking hours? (She does need to sleep.) Hours 1 2 3 4 5 6 7 8 9 10 MU Paid Employment 105 95 85 75 65 55 45 35 25 15 MU Leisure 100 90 80 70 60 50 40 30 20 10 hours working and b) Unfortunately, Chika begins to realize that unless she gets an education she will not enjoy a high salary and therefore, will not be able to afford more leisure time. She therefore decides to spend six hours each day studying (in addition to her eight hours of sleep). How will she now divide the remaining hours between work and leisure? hours working and hours leisure. hours leisure.arrow_forward
- Terry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 0 5 45 35 0 10 34 3.2 10 90 59 0.53 15 48 2.8 15 135 77 0.4 20 56 1.6 20 180 86 0.2 25 60 0.8 25 225 92 0.13 30 65 1 30 270 98 0.13 35 69 0.8 35 315 103 0.11 40 72 0.6 40 360 107 0.03 Terry decides to increase her work hours from 20 to 25 hours per week. What would be her marginal utility loss from having less leisure time? 6 What would be her marginal utility gain from having an additional income? 13 What will be her total utility from both leisure and income when working 25 hours…arrow_forwardTerry’s utility function over leisure (L) and other goods (Y ) is U(L, Y ) = Y + LY. The associated marginal utilities are MUY = 1 + L and MUL = Y. He purchases other goods at a price of $1, out of the income he earns from working. Show that, no matter what Terry’s wage rate, the optimal number of hours of leisure that he consumes is always the same. (a) What is the number of hours he would like to have for leisure? Determine the MRS of leisure for labour (b) Draw a leisure-influenced labor curvearrow_forwardTerry’s utility function over leisure (L) and other goods (Y) is U (L, Y) = Y + LY. The associated marginal utilities are MUY = 1 + L and MUL = Y. He purchases other goods at a price of $1, out of the income he earns from working. Show that, no matter what Terry’s wage rate, the optimal number of hours of leisure that he consumes is always the same. (a) What is the number of hours he would like to have for leisure? (b) Determine the MRS of leisure for labour (c) Draw a leisure-influenced labor curvearrow_forward
- Terry’s utility function over leisure (L) and other goods (Y ) is U(L, Y ) = Y + LY. The associated marginal utilities are MUY = 1 + L and MUL = Y. He purchases other goods at a price of $1, out of the income he earns from working. Show that, no matter what Terry’s wage rate, the optimal number of hours of leisure that he consumes is always the same. (a) What is the number of hours he would like to have for leisure? (b) Determine the MRS of leisure for labour Draw a leisure-influenced labor curvearrow_forwardTerry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 0 5 45 35 0 10 34 3.2 10 90 59 4.8 15 48 2.8 15 135 77 3.6 20 56 1.6 20 180 86 1.8 25 60 0.8 25 225 92 1.2 30 65 1 30 270 98 1.2 35 69 0.8 35 315 103 1 40 72 0.6 40 360 107 0.8 Terry decides to decrease her work hours from 20 to 10. What would be her marginal utility gain from having additional leisure time? What would be marginal utility loss from less income? What will be her total utility from both leisure and income when working 10 hours per week? Does it make sense from the…arrow_forwardTerry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Hours of Leisure Total Utility from Leisure Marginal Utility of Leisure Work Hours Income Total Utility from Income Marginal Utility from Income 5 18 0 5 45 35 0 10 34 3.2 10 90 59 4.8 15 48 2.8 15 135 77 3.6 20 56 1.6 20 180 86 1.8 25 60 0.8 25 225 92 1.2 30 65 1 30 270 98 1.2 35 69 0.8 35 315 103 1 40 72 0.6 40 360 107 0.8 Terry decides to decrease her work hours from 20 to 10. What would be her marginal utility gain from having additional leisure time? 0.9 What would be marginal utility loss from less income? 2.7 What will be her total utility from both leisure and income when working 10 hours per week? The required value of the…arrow_forward
- 1) Sharon spends her time (20h) between leisure (L) and work and he consume Y product from his working income (Py=1). Assume that she gets W$ per hour of working and has the following utility function: U (L, Y) =LY+2L C. vv). e. VS What will happen to L, Y and H if the wage per hour (W) will decrease? d. How would your answer to the previous question (c) will change if Sharon has a fixed amount of money (Wo) that is not connected to W? If Sharon has the following utility function: U= L³+ Y², is it possible that she will choose not to work at all? Explain and show the condition for your result if exists. |||arrow_forwardthe agent has a maximum of 12 hrs in a day that she can work, and her aspiration is not a utility level, but a target of making at least $500 in a work day. Her utility from working q hours at an hourly rate w is given by wq - q2(so she likes total income but dislikes working). If her target is not achievable, then she just max imizes her utility. If the target level of income is achievable, then she chooses any feasible number of hours that yield at least her target income. Formulate the model by doing the following (warning: (i) and (ii) require care): (i) Specify the choice domain. (ii) Write the agent's menu when the hourly rate is w. (iii) Determine the agent's choice from menus corresponding to wages $22/hr and $50/hr respectively.2 (iv) Point out how the choices relate to the finding in the study.arrow_forward3. John's utility function is U(C, L) = C1/2L!/2. The most leisure time he can consume is 110 hours. His wage rate is $10. Find John's optimal amount of consumption and hours for leisure and work.arrow_forward
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