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 $$30,000$ annually for no$-$fee$-$based transactions, or alternatively, $$30$ per trade. The other type of investor also has a net

worth of over $$1$ million but makes few transactions each year and therefore is willing to pay $$115$ 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: $