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)
- 7. An individual's utility function is given by U =1000x, +450x, +5 x,x, -2x - x where x, is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x, = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?arrow_forwardProblem Set 1. A firm's production function is º=50L-0.01Ľ' , where L denotes the size of the workforce. Find the value of MP in the case when: (a) L=1, (b) L=10, (c) L=100, (d) L=1000 Does the law of diminishing marginal productivity apply to this particular function? 2. Show that the price elasticity of demand is constant for demand functions of the form A P = Q" where A and n are positive constants. 3. The demand and total cost functions of a good are respectively 4P+Q-16=0 and ТС %3D 4 + 20 — 10 20 a) Find expressions for TR, (profit) 1 , MR, and MC in terms of Q. b) Solve the equation dn = 0 ÕP and hence determine the value of Q which maximizes profit. c) Verify that, at the point of maximum profit, MR=MC. 4. The cost of building an office complex, x floors high, in a prime location in Accra is made up of three components: (a) GH¢10 million for the land (b) GH¢'/, million per floor (e) Specialized costs of GH¢10000× per floor. How many floors should the office complex contain if…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 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_forward
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