Idea: Assume that an attendee located front and center at a conference would have better visibility than someone sitting on the side in the last row. For two different conferences having two attendees sitting at different distances and angles relative to the screen centers, determine who enjoys best screen visibility per unit ticket price relative to venue rent price per unit area for that day.

```
from math import cos, radians
def score(screen_area, distance_from_screen, angle_relative_to_screen_center, conf_seat_ticket_price, daily_venue_rent_per_area):
return screen_area / ((distance_from_screen / cos(radians(angle_relative_to_screen_center)))**2 * (conf_seat_ticket_price / daily_venue_rent_per_area))
# Conference 1
conf1_screen_width_m, conf1_screen_height_m = 6, 4
conf1_venue_width_m, conf1_venue_depth_m = 12, 18
conf1_attendee_rows = 8
conf1_attendee_seats_per_row = 40
conf1_venue_day_rent_dollars = 4200
conf1_screen_area_m2 = conf1_screen_width_m * conf1_screen_height_m
conf1_venue_area_m2 = conf1_venue_width_m * conf1_venue_depth_m
conf1_total_attendees = conf1_attendee_rows * conf1_attendee_seats_per_row
conf1_attendee_rows_distances = [4+i for i in range(conf1_attendee_rows)] # 1m distance between rows starting at 4m
conf1_venue_rent_per_area = conf1_venue_day_rent_dollars / conf1_venue_area_m2
# Conference 2
conf2_screen_width_m, conf2_screen_height_m = 3.2, 2.4
conf2_venue_width_m, conf2_venue_depth_m = 8, 11
conf2_attendee_rows = 6
conf2_attendee_seats_per_row = 30
conf2_venue_day_rent_dollars = 2300
conf2_screen_area_m2 = conf2_screen_width_m * conf2_screen_height_m
conf2_venue_area_m2 = conf2_venue_width_m * conf2_venue_depth_m
conf2_total_attendees = conf2_attendee_rows * conf2_attendee_seats_per_row
conf2_attendee_rows_distances = [2.5+i*0.7 for i in range(conf1_attendee_rows)] # 70cm distance between rows, starting at 2.5m
conf2_venue_rent_per_area = conf2_venue_day_rent_dollars / conf2_venue_area_m2
# Attendee 1 at conference 1
conf1_attendee1_row = 3
conf1_attendee1_distance = conf1_attendee_rows_distances[conf1_attendee1_row-1]
conf1_attendee1_viewing_angle = 47 # relative to screen center
conf1_attendee1_ticket_price_dollar = 300
# Attendee 2 at conference 1
conf1_attendee2_row = 7
conf1_attendee2_distance = conf1_attendee_rows_distances[conf1_attendee2_row-1]
conf1_attendee2_viewing_angle = 10
conf1_attendee2_ticket_price_dollar = 180
# Attendee 1 at conference 2
conf2_attendee1_row = 2
conf2_attendee1_distance = conf2_attendee_rows_distances[conf2_attendee1_row-1]
conf2_attendee1_viewing_angle = 15
conf2_attendee1_ticket_price_dollar = 160
# Attendee 2 at conference 2
conf2_attendee2_row = 6
conf2_attendee2_distance = conf2_attendee_rows_distances[conf2_attendee2_row-1]
conf2_attendee2_viewing_angle = 32
conf2_attendee2_ticket_price_dollar = 80
print("""
Visibilities:
Attendee 1 (conf 1): %.6f
Attendee 2 (conf 1): %.6f
Attendee 1 (conf 2): %.6f
Attendee 2 (conf 2): %.6f
""" % (
score(
conf1_screen_area_m2,
conf1_attendee1_distance,
conf1_attendee1_viewing_angle,
conf1_attendee1_ticket_price_dollar,
conf1_venue_rent_per_area
),
score(
conf1_screen_area_m2,
conf1_attendee2_distance,
conf1_attendee2_viewing_angle,
conf1_attendee2_ticket_price_dollar,
conf1_venue_rent_per_area
),
score(
conf2_screen_area_m2,
conf2_attendee1_distance,
conf2_attendee1_viewing_angle,
conf2_attendee1_ticket_price_dollar,
conf2_venue_rent_per_area
),
score(
conf2_screen_area_m2,
conf2_attendee2_distance,
conf2_attendee2_viewing_angle,
conf2_attendee2_ticket_price_dollar,
conf2_venue_rent_per_area
)
))
"""
Visibilities:
Attendee 1 (conf 1): 0.020098
Attendee 2 (conf 1): 0.025144
Attendee 1 (conf 2): 0.114307
Attendee 2 (conf 2): 0.050125
"""
```

The first attendee at the second conference, sitting at the second row, at distance 3.2m and viewing angle of 15° enjoys the best visibility terms.