11.10.22 A stockbroker calls on potential clients from referals. For each call, there is a...
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11.10.22 A stockbroker calls on potential clients from referals. For each call, there is a 20% chance that the client will decide to invest with the stockbroker's firm. Forty percent of those interested are found not to be qualified, based on the brokerage firm's screening criteria. The remaining are qualified. Of these, half will invest an average of $5,000, 25% will invest an average of $20,000, 15% will invest an average of $50,000, and the remainder will invest $100,000. The commission schedule is as follows:
Transaction Amount
Commission
Up to $25,000
$75 + 0.5% of the amount
$25,001 to $75,000
$100 + 0.4% of the amount
$75,001 to $100,000
$150 + 0.3% of the amount
The broker keeps half the commission. Develop a spreadsheet to calculate the broker's commission based on the number of calls per month made. What is the expected commission based on making 250 calls?