Question

Apartments is a ​-unit apartment complex. When the apartments are​ 90% occupied, monthly operating costs total $220,040. When occupancy dips to​ 80%, monthly operating costs fall to $215,480. The owner of the apartment complex is worried because many of the apartment residents work at a nearby manufacturing plant that has just announced it will close in three months. The apartment owner fears that occupancy of her apartments will drop to 55​% if residents lose their jobs and move away. Assuming the same relevant​ range, what can the owner expect her operating costs to be if occupancy falls to ​55%?

Answer 1

Missing word "Use the​ high-low method to determine operating cost equation y=$_____, x + $ = ____"

Cost on (800*90%)=720 units is 220,040

Cost on (800*80%) = 640 Units is 215,480

Variable cost per unit = Changes in total cost/High activity-low activity = 4560 / 80 = $57 per unit

Fixed cost = Total cost - Variable cost = 220,040 - (720*$57) = 220,040 - 41,040 = $179000

Cost equation:

Total cost = Fixed cost + Variable cost per unit

Y = 179000 + 57X

Y = 179000 + (57*440)

Y = $204,080