A salesperson in a large bicycle shop is paid a bonus ifhe sells more than 4 bicycles a day. The probability ofselling more than 4 bicycles a day is only .40. If the numberof bicycles sold is greater than 4, the distribution of sales isas shown in Table 20. The shop has four different models ofbicycles. The amount of the bonus paid out varies by type.The bonus for model A is $10; 40% of the bicycles sold areof this type. Model B accounts for 35% of the sales andpays a bonus of $15. Model C has a bonus rating of $20 andmakes up 20% of the sales. Finally, model D pays a bonusof $25 for each sale but accounts for only 5% of the sales.Develop a simulation model to calculate the bonus asalesperson can expect in a day.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 46P
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A salesperson in a large bicycle shop is paid a bonus if
he sells more than 4 bicycles a day. The probability of
selling more than 4 bicycles a day is only .40. If the number
of bicycles sold is greater than 4, the distribution of sales is
as shown in Table 20. The shop has four different models of
bicycles. The amount of the bonus paid out varies by type.
The bonus for model A is $10; 40% of the bicycles sold are
of this type. Model B accounts for 35% of the sales and
pays a bonus of $15. Model C has a bonus rating of $20 and
makes up 20% of the sales. Finally, model D pays a bonus
of $25 for each sale but accounts for only 5% of the sales.
Develop a simulation model to calculate the bonus a
salesperson can expect in a day.

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