Jerry Moffett

Case study 1

a. Variable cost per passenger=$70.00 Full fare per passenger=$160.00 Contribution margin = $ 160- $ 70 = $ 90 per passenger Contribution margin ratio = $ 90/$160 = 56.25% Break-even point in passengers = Fixed costs/Contribution Margin = $ 3,150,000/$ 90 per passenger = 35,000 passengers Break-even point in dollars = Fixed Costs/Contribution Margin Ratio= $ 3,150,000/0.5625 = $ 5,600,000.

b. Average load factor=70% of 90 90 X 0.70 =63 seats per train car 35,000/ 63 = 556 train cars ( rounded)

c. CM = $190 - $ 70 = $120 per passenger 90 X .60 = 54 filled seats Break-even point in passengers = fixed costs/ contribution margin= $ 3,150,000/$120 = 26,250 passengers 26,250/54 = 486 train cars (rounded)

d. Contribution margin = $ 160 - $ 90 = $ 70 per passenger Break-even point in passengers = fixed costs/contribution margin= $ 3,150,000/ $ 70 per passenger = 45,000 passengers 45,000/ 63 = 714 train cars ( rounded)

e. Profit=CM ratio*sales-fixed expenses Unit CM=205-85=120 CM ratio=120/205=0.5854 750,000=0.5854*sales-3,600,000 Sales= (750,000+3,600,000)/0.5854 Sales= 7,430,816
f. Average load factor=70% of 90=63
Load factor of 80%=72
Additional load factor =72-63=9
New fixed costs=3,150,00+180,000=3,330,000
Sale per day =50{(63*160)+(120*9)}=558,000
Sales per month=558,000*30=16,740,000
Variable cost per car=70*72=5040
Variable cost per month=252,000*30=7,560,000
CM=Sales-variable costs
16,740,000-7,560,000=9,180 ,000
Profit=CM-Fixed Expenses
9,180,000-3,330,000=5,850,000
a. New load factor=60% of