Pelican Point Financial Group's clientele consists of two types of investors. The first type of investor makes many

transactions in a given year and has a net worth of over $$1$ million. These investors seek unlimited access to investment

consultants and are willing to pay up to $$25,000$ annually for no$-$fee$-$based transactions, or alternatively, $$40$ per trade. The

other type of investor also has a net worth of over $$1$ million but makes few transactions each year and therefore is willing to

pay $$120$ per trade.

As the manager of Pelican Point Financial Group, you are unable to determine whether any given individual is a high$-$ or low$-$

volume transaction investor. To deal with this issue, you design a self$-$selection mechanism that permits you to identify each

type of investor. You offer two types of plans for customers with more than $$1$ million in assets: one plan has an annual

maintenance fee but offers a large number of "free" transactions $($call this the "Free Trade" Account$)$; the other plan has no

annual maintenance fee but charges for each transaction $($call this the "Free Service" Account$).$

Determine the specifics for each plan as listed below:

"Free Trade" Account:

Annual maintenance fee: $

Number of "free" transactions:

Price for each transaction in excess of the number of "free" transactions:$

"Free Service" Account:

Price per transaction: $