In: Economics
The Hotel El Politécnico has # 500 rooms. They usually have a cost per room of $ 70.00, plus a fixed cost of $ 5,000.00 per day. Each room is rented for $ 175.00 per day during the summer season. Answer the following questions using the above data:
a) If the Hotel operates at 70% capacity for one day, what is the net profit (gain / loss)?
b) What is the equilibrium point (B. E. P.)? in units, if it operates at full capacity
c) Would you recommend lowering the current price per room to earn $ 40,000, if 20% of the rooms are unoccupied? What would be the new price per room?
d) What should be the variable cost per daily unit to
earn $ 30,000.00; at its 80% capacity?
Room capacity | 500 Rooms | |||
sales price | 175 | |||
Variable cost | 70 | |||
Contribution (S-V) | 105 | |||
Fixed cost | 5000 | |||
1. if hotel operates at 70 % capacity | ||||
No of rooms occupied | 500*70% | |||
total rooms occupied | 350 | |||
Sales price | 175 | 61250 | ||
variable cost | 70 | 24500 | ||
contribution (S-V) | 36750 | |||
less | ||||
Fixed Cost | 5000 | |||
Profit/ Loss | profit | 31750 | ||
2 equilibrium point (B. E. P.) in units | ||||
sales value | 175*500 | 87500 | ||
variable cost | 70*500 | 35000 | ||
contribution | 52500 | |||
profit volume ration = Contribution/ sales *100 | 60 | |||
BEP= fixed cost / Profit volume ratio | 5000/60% | 8333.333333 | in $ | |
BEP in Unit= BEP sales value/ sales price | 8333/175 | 47.61904762 | in units | |
3. hotel capacity when 20 % unoccupied | 500 | 400 | ||
selling price would be as follows | unit= ( fixed cost + desired profit) sales - variable cost | |||
400= (40000+5000) / sales - 70 | ||||
(sales- 70 ) * 400 = 45000 | ||||
sales - 70 = 45000/400 | ||||
sales = 70+112.5 | ||||
182.5 | ||||
sales value | 182.5*400 | 73000 | ||
variable cost | 70*400 | 28000 | ||
contribution | 45000 | |||
less | ||||
fixed cost | 5000 | |||
profit | 40000 | |||
we would not recommend that price should be lowered rather it should increase. |
4 varable cost at 80 % capacity | 500 | occupied rooms = 400 | |
unit= ( fixed cost + desired profit) sales - variable cost | |||
400= (30000+5000) / sales - X | |||
(175- X ) * 400 = 35000 | |||
175 - X = 35000/400 | |||
variable cost = 175-87.5 | |||
87.5 | |||
Check | |||
sales value | 175*400 | 70000 | |
variable cost | 87.5*400 | 35000 | |
contribution | 35000 | ||
less | |||
fixed cost | 5000 | ||
Profit | 30000 |