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 0.40. If the number of bicycles sold is greater than 4, the distribution of sales as shown below. 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, a 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. Note that if the salesman sells more than 4 bikes, he earns a bonus on each bike sold. That is, if 6 bikes are sold, he earns a bonus on each of the 6 bikes, not just the 2 bikes beyond the 4 bike cutoff.

Table Number of Bicycles Sold Probability

5 0.35

6 0.45

7 0.15

8 0.05

Use python