Explain why a theater operator should invest in a new 4D auditorium. Explnations should be given in NPV, Payback Period, IRR, ARR, ROI, CAGR. Other than precise, step-by-step calculation, you should explain the answers by your own words and explain in details the outcomes of this investment project.

CAPEX (for 100 4D Seat Auditorium)	Total $1 Million USD
Seat Number Reduction	35% (Seat loss rate when converting a 3D Auditorium to a 4DX Auditorium)
Occupancy Rate (OR : Seats Sold / Seats Available)
4D OR	50%
Existing 3D Auditorium OR (Before Conversion) :	15%
Shows per day	5 shows for each 3D and 4D
Per Ticket Incremental Revenue on 4D for Cinema (Cinema Incremental Cash Flow) :	$7.48 / sold ticket
Incremental OPEX per year for Cinema in order to operate the 4D Auditorium :	$39,000
Ticket price of current 3D Auditorium:	$12
Others
WACC (Discount Rate) :	9%
CAPEX for establishing a new 3D Auditorium:	Total $1 Million for a 154 Seat 3D Auditorium
OPEX for operating a 3D Auditorium:	USD $ 8.5 dollars/ticket.