The Cullumber Acres Inn is trying to determine its break-even point during its off-peak season. The inn has 50 rooms that it rents at $65 a night. Operating costs are as follows: Salaries $7,000 per month
Utilities $1,000 per month
Depreciation $1,100 per month
Maintenance $1,508 per month
Maid service $13 per room
Other costs $26 per room

Required:
a. Determine the inn's break-even point in number of rented rooms per month.
b. Determine the inn's break-even point in dollars.

a. Breakeven point in number of rented rooms:

= Fixed costs / Contribution margin

Fixed cost = Salaries per month + Utilities + Depreciation + Maintenance

= 7,000 + 1,000 + 1,100 + 1,508

= $10,608

Contribution margin:

= Rent price - Maid service - Other costs

= 65 - 13 - 26

= $26

Breakeven point in rented rooms:

= 10,608 / 26

= 408 rooms

b. Breakeven point in dollars:

= Fixed costs / Contribution margin ratio

= 10,608 / (26 / 65)

= 10,608 / 40%

= $26,520

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.