Answer:
case 1 net income $ 10,000
case 3 revenue $ 200,000
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second round
case 1
variable $ 400,000
fixed $ 93,000
case 3
revenue $ 250,000
variable expense $ 100,000
case 4
average CMR 0.30
fixed cost $ 185,000
Step-by-step explanation:
Case Units Revenue Variable Unit CM Fixed Net Income
1 15,000 $180,000 $120,000 $ 4 $50,000 $10,000(A)
3 10,000 $200,000 (B) $ 70,000 $13 $118,000 $12,000
(A) revenue - variable cost - fixed = income
180,000 - 120,000 - 50,000 = 10,000
(B) units x contribution per unit + variable cost
10,000 x $13 + $70,000 = $ 200,000
Second Round:
Case Sales Variable Avg CMR Fixed Income
1 $ 500,000 $ 400,000(C) 0.20 $93,000(D) $ 7,000
3 $ 250,000(E) $ 100,000(F) 0.60 $130,000 $ 20,000
4 $600,000 $ 420,000 0.30(G) $ 185,000(H) $ (5,000)
(C) Sales x (1 - CMR) = Variable cost
500,000 x (1 - 0.2) = 400,000
(D) contribution - fixed = operating income
100,000 - fixed = 7,000
fixed = 93,000
(E)
fixed expense + income = contribution
130,000 + 20,000 = 150,000
sales x CMR = contribution
sales = contribution / CMR = 150,000 / 0.6 = 250,000
(F) variable:
(F)Sales x (1 - CMR) = Variable cost
250,000 ( 1 - 0.6) = 100,000
(G)
( sales - variable ) / sales = CMR
( 600,000 - 420,000 ) / 600,000 = 0.30
(H)
sales - variable -- fixed = income
600,000 - 480,000 - fixed = -5,000
fixed = 180,000 + 5,000 = 185,000