ABC Instrument, a manufacturer of precise scientific instruments, relies heavily on the efforts of its local salespeople. Selling an instrument requires either luck, high effort, or some combination of the two. A salesperson who chooses to work hard has a 4ỏ percent chance of selling an instrument in a given year while a salesperson who chooses to slack off has a 20 percent chance. Practically no one manages to sell more than one instrument in a single year. Contracts for salespeople are designed on a year-by-year basis. Sales staff members do not mind risk; they choose employers based only on expected wage and the disutility of effort. Disutility of effort is equivalent to $20,000 per year if they work hard and $0 if they slack off. Even if a salesperson slacks off, he or she requires an average salary of at least $50,000 not to seek alternate employment. Thus, the relevant data are: Effort Level Chance of success Cost High Effort 0.4 20,000 + 50,000 Slack Effort 0.2 50,000 Please answer the next queston using the above information. Let "f" be the fixed salary and "b" be the bonus paid if the sales person is successful in selling an instrument. What range of bonuses will induce high effort? O 1.b z 20,000 O 2.b 2 50,000 O 3.b 2 70,000 O 4. b 2 100,000 O 5.b 2 125,000 O 6. b 2 250,000

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter20: The Problem Of Adverse Selection Moral Hazard
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QUESTION 1
ABC Instrument, a manufacturer of precise scientific instruments, relies heavily on the efforts of its local salespeople. Selling an instr
requires either luck, high effort, or some combination of the two. A salesperson who chooses to work hard has a 40 percent chance o
selling an instrument in a given year while a salesperson who chooses to slack off has a 20 percent chance. Practically no one manage
sell more than one instrument in a single year. Contracts for salespeople are designed on a year-by-year basis. Sales staff members d
mind risk; they choose employers based only on expected wage and the disutility of effort. Disutility of effort is equivalent to $20,000
year if they work hard and $0 if they slack off. Even if a salesperson slacks off, he or she requires an average salary of at least $50,000
seek alternate employment. Thus, the relevant data are:
Effort Level Chance of success Cost
High Effort
0.4
20,000 + 50,000
Slack Effort
0.2
50,000
Please answer the next five questions (Q1 through Q5) using the above information. Let "f" be the fixed salary and "b" be the bonus p
the sales person is successful in selling an instrument.
What is the optimal compensation scheme if ABC only wants slack effort from the sales person?
O 1.f = 20,000 and b = 0
2. f = 50,000 and b = 0
3. f = 70,000 and b = 0
4. f = 125,000 and b = 0
O 5. f=250,000 and b = 0
O 6. f = 0 and b = 50,000
7.f= 0 and b = 70,000
8. f = 0 and b =100,000
9. f = 0 and b = 125,000
Transcribed Image Text:QUESTION 1 ABC Instrument, a manufacturer of precise scientific instruments, relies heavily on the efforts of its local salespeople. Selling an instr requires either luck, high effort, or some combination of the two. A salesperson who chooses to work hard has a 40 percent chance o selling an instrument in a given year while a salesperson who chooses to slack off has a 20 percent chance. Practically no one manage sell more than one instrument in a single year. Contracts for salespeople are designed on a year-by-year basis. Sales staff members d mind risk; they choose employers based only on expected wage and the disutility of effort. Disutility of effort is equivalent to $20,000 year if they work hard and $0 if they slack off. Even if a salesperson slacks off, he or she requires an average salary of at least $50,000 seek alternate employment. Thus, the relevant data are: Effort Level Chance of success Cost High Effort 0.4 20,000 + 50,000 Slack Effort 0.2 50,000 Please answer the next five questions (Q1 through Q5) using the above information. Let "f" be the fixed salary and "b" be the bonus p the sales person is successful in selling an instrument. What is the optimal compensation scheme if ABC only wants slack effort from the sales person? O 1.f = 20,000 and b = 0 2. f = 50,000 and b = 0 3. f = 70,000 and b = 0 4. f = 125,000 and b = 0 O 5. f=250,000 and b = 0 O 6. f = 0 and b = 50,000 7.f= 0 and b = 70,000 8. f = 0 and b =100,000 9. f = 0 and b = 125,000
ABC Instrument, a manufacturer of precise scientific instruments, relies heavily on the efforts of its local salespeople. Selling an instrument
requires either luck, high effort, or some combination of the two. A salesperson who chooses to work hard has a 40 percent chance of
selling an instrument in a given year while a salesperson who chooses to slack off has a 20 percent chance. Practically no one manages to
sell more than one instrument in a single year. Contracts for salespeople are designed on a year-by-year basis. Sales staff members do not
mind risk; they choose employers based only on expected wage and the disutility of effort. Disutility of effort is equivalent to $20,000 per
year if they work hard and $0 if they slack off. Even if a salesperson slacks off, he or she requires an average salary of at least $50,000 not to
seek alternate employment. Thus, the relevant data are:
Effort Level Chance of success Cost
High Effort
0.4
20,000 + 50,000
Slack Effort
0.2
50,000
Please answer the next queston using the above information. Let "f" be the fixed salary and "b" be the bonus paid if the sales person is
successful in selling an instrument.
What range of bonuses will induce high effort?
O 1.b > 20,000
2. b 2 50,000
O 3. b 2 70,000
O 4. b 2 100,000
O 5. b 2 125,000
O 6. b 2 250,000
Transcribed Image Text:ABC Instrument, a manufacturer of precise scientific instruments, relies heavily on the efforts of its local salespeople. Selling an instrument requires either luck, high effort, or some combination of the two. A salesperson who chooses to work hard has a 40 percent chance of selling an instrument in a given year while a salesperson who chooses to slack off has a 20 percent chance. Practically no one manages to sell more than one instrument in a single year. Contracts for salespeople are designed on a year-by-year basis. Sales staff members do not mind risk; they choose employers based only on expected wage and the disutility of effort. Disutility of effort is equivalent to $20,000 per year if they work hard and $0 if they slack off. Even if a salesperson slacks off, he or she requires an average salary of at least $50,000 not to seek alternate employment. Thus, the relevant data are: Effort Level Chance of success Cost High Effort 0.4 20,000 + 50,000 Slack Effort 0.2 50,000 Please answer the next queston using the above information. Let "f" be the fixed salary and "b" be the bonus paid if the sales person is successful in selling an instrument. What range of bonuses will induce high effort? O 1.b > 20,000 2. b 2 50,000 O 3. b 2 70,000 O 4. b 2 100,000 O 5. b 2 125,000 O 6. b 2 250,000
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