A retail outlet purchased $230$ digital cameras at a list price of $$93$ less $9\%,$ and $2\%.$ The markup on selling price percentage on the digital cameras was $48\%.$ After selling $60\%$ of the shipment, the rest of the digital cameras were marked down to a reduced selling price. When there were only $8$ digital cameras left, the outlet marked these down to $$50.$ Assume the outlet will sell the remaining digital cameras at this price. The outlet hopes to maintain an average markup on selling price percentage of $31\%.$

For full marks, your answer$($s$)$ should be rounded to the nearest cent. Please include a dollar sign with your answer. Format is $$999,999\mathrm{.}99$

a$)$ What is the total cost? Hint: The per unit cost doesn$$t equal the total cost.

b$)$ What is the regular selling price?

c$)$ What are the total sales?

d$)$ What must have been the sale price of the digital cameras?

e$)$ What is your group number?