A database for a retailer needs to store data about customers $($identified by c$\_$id$,$ with name as an attribute$),$ products $($identified by p$\_$id$,$ with price as an attribute$)$ and transactions $($identified by t$\_$id$,$ with date as an attribute$).$ Assume that $(1)$ each transaction is initiated by exactly one customer, $(2)$ a customer may initiate multiple $($including $0)$ transactions, and $(3)$ for each transaction, all of the products purchased and their quantities must be recorded $($e$.$g$.,$ in the case of transaction $1234,2$ units of product $$X$$ and $3$ units of product $$Y$$ are purchased$).$