Respuesta :
Solution :
Fixed cost per month                Variable cost per room
Salaries  $ 5,900                    Maid service   $ 14
Utilities  $ 1,100                     Other cost   $ 28
Depreciation $ 1000
Maintenance  $ 100
Total fixed cost per month            Total variable cost per room   Â
$ 8,100.00 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â $ 42.00 Â Â Â Â
[tex]\text{Contribution margin per room}[/tex]
Rent per room                  $ 60
Total variable cost per room       $ 42
[tex]\text{Contribution margin per room}[/tex] (A) Â $ 18.00
Contribution [tex]\text{margin}[/tex] ratio
[tex]\text{Contribution margin per room}[/tex] Â Â $ 18
Rent Per room                $ 60
Contribution [tex]\text{margin}[/tex] ratio (B) Â Â Â 30%
Fixed cost (C) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â $ 8100
Â
Break Even points in Rooms,( D = C/A ) Â = 450
Rent Per room (E) Â Â Â Â Â Â Â Â Â Â Â Â Â $ 60
Â
Break Even point in dollars (F = D x E ) = Â $ 27000
Fixed cost  ( G = C)          =    $ 8100
Contribution [tex]\text{margin}[/tex] ratio  ( H  = B ) =  30%
Break Even point in dollars  (I = G/H = F)  $ 27,000
If Fixed Cost changed to $ 8,750 and Room Rent changed to $ 65
Contribution [tex]\text{margin}[/tex] per room
Rent Per room              $ 65
Total variable cost per room  $ 42
[tex]\text{Contribution margin per room}[/tex] (A) = $23
Contribution [tex]\text{margin}[/tex] ratio
[tex]\text{Contribution margin per room}[/tex] Â $ 23
Rent Per room  $ 65
Contribution [tex]\text{margin}[/tex] ratio  (B)  = 35% or 35.38%
Fixed cost (C) Â Â Â Â Â Â Â Â Â Â Â Â Â = $8750
Break Even points in Rooms  (D = C/A)  = $ 24,728.26  or   $ 24,700
Fixed cost   ( H = B)             = 35.38 %
Break Even point in dollars  (I = G/H = F)  =  $24,728.26  or  $ 24,731