Given the relation and functional dependencies below, normalize the SALE relation and resulting relations all the way to BCNF$.$ You need to demonstrate each normalization transformation, justifying every step. That is$,$ you must list the reason$($s$)$ why a relation is $($or is not$)$ in a certain normal form, and what you need to do to transform the table, if needed. Be sure to use proper relational notation and reference statements for foreign keys. For the $4$NF$,$ you may just indicate if yes or no and why.

Relation:

SALE$($invoiceNo$,$ itemNo, custID, custName, custAddress, itemName, itemPrice, itemQtyPurch, salesPersonNo, salesPersonName, subtotal, tax, totalDue$)$

Functional Dependencies:

$1.$ invoiceNo, itemNo $->$ custID, custName, custAddress, itemName, itemPrice, itemQtyPurch, salesPersonNo, salesPersonName, subtotal, tax, totalDue

$2.$ itemNo $->$ itemName, itemPrice

$3.$ invoiceNo $->$ custID, custName, custAddress, salesPersonNo, salesPersonName, subtotal, tax, totalDue

$4.$ custID $->$ custName, custAddress

$5.$ salesPersonNo $->$ salesPersonName