total expenses of running the hostel at Harvard business school are partly fixed and partly variable linearly with the number of boarders. The average expenses per boarder is $70 when there are 25 boarders and $60 when there are 50 boarders. what is the average expenses per boarders when there are 100 boarders
Answers
Given: The total expenses of running the hostel at Harvard business school are partly fixed and partly variable linearly with the number of boarders. The average expenses per boarder is $70 when there are 25 boarders and $60 when there are 50 boarders.
To find: What is the average expenses per boarders when there are 100 boarders?
Solution:
- Let x be the fixed cost and y be the variable cost
- Then according to the first statement , we have:
x + 25y = 70 × 25
x + 25y = 1750 ....................(i)
- According to the second statement , we have:
x + 50y = 60 × 50
x + 50y = 3000 .....................(ii)
- Now solving them by subtracting (i) from (ii), we get:
x + 50y = 3000
- x - 25y = -1750
25y = 1250
y = 50
- Now putting y = 50 in (i), we get:
x + 25(50) = 1750
x = 1750 - 1250
x = 500
- So the total expenses of 100 boarders will be:
(500 + 50) × 100 = Rs. 5500
- And average expenses will be:
Rs. 55000/100
Rs. 550
Answer:
So the average expenses per boarders when there are 100 boarders is Rs 550.
Answer:
55$
Step-by-step explanation:
70×25=1750
60×50=3000
70×50=3500
3500-3000=500
1750-500=1250
1250/50=25
25ka double50
100×50+500=5500/100
=55$ answer