1 Convert Coal in Coke.
80% of production used in furnance Coke Charge to furnace at $6 per ton 20% of coke is sold at $ 7.50 The total capacity is 80,000 tons. Variable cost per ton = $4.50 Fixed cost = $40,000 per year Expenses $60,000 per ton then the coke will sold at $6 per ton Marketing Expenses 0.50 perton . Increased in fixed decrease variable cost reduce by $ 1.50 per ton
2 Convert coke in Iron Outside purchase.then purchase price will be $5 per ton. Manager believe that it is not a profitable option
Requried no1: The transfer price become the cost of blast furnace and the company is interested to charge the cost at minium. The total capacity is 80,000 tons and company sold 80% of it which is (80,000 ton x 80%) = 64,000 tons and the variable cost is $ 4.50 which is less than $5 per unit Profit of Coke: Present Sale to Dept 2 Sale to Outsider
(64,000 x $6) (16,000 x$7.50) Total Sale Less:Cost (80,000 x $4.50) Less: Fixed cost Profit
Proposed:
Sale to Dept 2 Sale to Outsider
(64,000 x $5) (16,000 x$7.50) Total Sale
384,000 120,000 504,000 (360,000) (40,000) 104,000 320,000 120,000 440,000
Less:Cost (80,000 x $4.50) Less: Fixed cost Profit
(360,000) (40,000) 40,000
Required 2: Decision whether to invest money and sell entire coke to outside: Proposal: Sales (80,000 units x $6) Less: Cost of Sales: 1 Variable Cost (80,000 x $3) 2 Variable marketing exp (80,000 x 0.50) Total Variable cost 3 Fixed cost 4 Fixed Productive and Equip
40,000 60,000
Profit 5 Cost of purchasing by Furnace dept (64,000 tons x $5) Net Loss Present: Sales
(16,000 tons x $ 7.50) (64,000 tons x $6)
Less: Cost of Sales: 1 Variable Cost 2 Fixed cost
120,000 384,000
(80,000 x $4.50) Profit
3 Cost of Coke to Furnance dept (64,000 tons x $6)
$6 per ton
variable cost
will be $5 a profitable
oke to outside:
480,000 240,000 40,000 280,000
100,000
(380,000) 100,000 (320,000) (220,000)
504,000
360,000 40,000
(400,000) 104,000 (384,000) (280,000)
Required no. 1: For each of Product: Product
Capital Employed Turnover rate
Percentage of Profit to Sales
Sales Investment / Capital Employed
Net Income Sales
Rate of return on Capital employed
Capital employed ratio x % of prof
A
2,000,000 500,000
4 times
60,000 2,000,000
B
5,000,000 300,000
16.67 times
45,000 5,000,000
0.9 % = 16.67 times x 0.9% = 15%
C
3,000,000 600,000
5 times
175,000 3,000,000
5.83 % = 5 times x 5.83% = 29.15%
D
1,800,000 200,000
9 times
36,000 1,800,000
Required no. 2: Pay Back period for each product Product
Pay Back Period Investment Annual Cash Inflow
A
500,000 75,000
6.67 years
B
300,000 60,000
5.00 years
C
600,000 200,000
3.00 years
3 % 60,000 / 500,000 x 100 = 12% = 4 times x 3% = 12%
2.0 % = 9 times x 2% = 18%
D
200,000 60,000
3.33 years
Required no. 3: Discounted Cash flow (IRR) for Product D Cash inflow PV = Cash outflow 100,000 - 100,000 = 0 = IRR = DCF
26% 28%
3.465 3.269 0.196
26% Payback
Discounted Cash flow rate of return for Product D (0.132/0.196 x 2%) + 26% 27.35%
3.465 3.333 0.132
Rate of return on Capital employed
ployed ratio x % of profit to sales
0,000 x 100 = 12% 3% = 12%
es x 0.9% = 15%
5.83% = 29.15%
2% = 18%
Solution of Pb 27-1 Required no.1: Inventory turnover rate (19 A) Inventory turnover rate = Cost of Goods Sold Average Inventory
451,000 90,200 5
Required no. 2: Return Of Capital Employed (ROCE) ratio (after Income Tax) 19 A Return of Capital Employed ratio = Net Income Capital Employed
75,115 517,125 0.145 14.5%
W-1
Calculation of capital employed: Capital Employed = Equities = Total Asset = Current Assets + Non- current assets Current Assets Non- current assets CAPITAL EMPLOYED
167,125 350,000 517,125
Required no. 3: Rate of return (after income tax) on book value of total assets 19 B Rate of return (after income tax) = Net Income Book Value of total assets 57,125 521,450 0.11
W-1:
11% Calculation of net Income (after Income tax) for the year 19 B Sales (100,000 units x 8.40)
840,000
Less: Total variable cost Total Fixed cost
(100,000 units x 6)
600,000 125,750
Net income before Income tax Less: Income tax (50%) Net income after income tax W- 2:
Calculation of Book value of total assets (19 B): Value of current asset (840,000 x 22.25%)
350,000 (15,450)
Ratio of current asset to sale (19 A) 167,125 751,150
114,250 (57,125) 57,125
186,900
Value of non current asset Balance of non currnet asset (at start) of 19 B Less: Current year depreciation (19 B) BOOK VALUE OF TOTAL ASSETS (19 B)
Current asset Sales
(725,750)
0.2225
Note: Same ratio will be applied to 19 B
22.25 %
334,550 521,450
times
urrent assets
CA
FA TA
Required no. 1: Profit for 6,000,000 Cases a) Bottle Division
W-1
b) Cologne Division
c) The Company
Sales Revenue
10,000,000
63,900,000
63,900,000
Less: Cost of Sales PROFIT
(7,200,000) 2,800,000
(58,400,000) 5,500,000
(55,600,000) 8,300,000
Calculation of Cost: Cologne Division
48,400,000 + 10,000,000
58,400,000
The Company
48,400,000 + 7,200,000
55,600,000
Required no. 2: a) Bottle Division: Cases
2,000,000
Volume 4,000,000
Revenue
4,000,000
7,000,000
10,000,000
(3,200,000) 800,000
(5,200,000) 1,800,000
(7,200,000) 2,800,000
2,000,000
Volume 4,000,000
6,000,000
Less: Cost of Sales PROFIT b) Cologn Division: Cases
6,000,000
Revenue Less: Cost of Sales PROFIT c) The Company Cases Revenue Less: Cost of Sales PROFIT
25,000,000
45,600,000
63,900,000
(20,400,000) 4,600,000
(39,400,000) 6,200,000
(58,400,000) 5,500,000
2,000,000
Volume 4,000,000
6,000,000
25,000,000
45,600,000
63,900,000
(19,600,000) 5,400,000
(37,600,000) 8,000,000
(55,600,000) 8,300,000
Uniform Costing - Jain Narang Book Pg No. 5.307
Total Cost Less: FC
3,200,000 1,200,000
5,200,000 1,200,000
7,200,000 1,200,000
Variable Cost
2,000,000
4,000,000
6,000,000
Nos. of units
2,000,000
4,000,000
6,000,000
1
1
1
Variable cost per unit