Exercise 6.20 a-c
a) Calculation of Operating Income the company will earn if it takes 11 months for a competitor to produce a more sophisticated version of the video game:
|
PARTICULARS |
AMOUNT (In $) |
|
Sales Revenue (285x400x11)(A) |
12,54,000 |
|
Less: Variable Cost (70x400x11)(B) |
3,08,000 |
|
Contribution Margin (C=(A-B)) |
9,46,000 |
|
Fixed Costs (D) |
4,53,650 |
|
Operating Income (E=(C-D)) |
4,92,350 |
b) Calculation of units of video game the company will have to sell in order to break-even:
Break-Even point in units= Fixed Cost/(Sales Price per unit-Variable Cost per unit)
Fixed Cost= $4,53,650
Sales Price per unit=$285
Variable Cost per unit=$70
Therefore,
Break-Even Point=4,53,650/(285-70)=2110 units
c) Calculation of selling price of the video game if the company wishes to earn $26,350 over the product’s life and a competitor introduces a more sophisticated version of the video game in 4 months assuming unit sales are 400 copies per month:
Let the Selling Price per unit be Z.
|
PARTICULARS |
AMOUNT (In $) |
|
Sales Revenue (Zx400x4)(A) |
1600Z |
|
Less: Variable Cost (70x400x4) (B) |
1,12,000 |
|
Contribution Margin (C=(A-B)) |
1600Z-1,12,000 |
|
Fixed Cost (D) |
4,53,650 |
|
Operating Income (E-(C-D)) (Given Figure) |
26,350 |
Now, C-D=E
Therefore,
(1600Z-1,12,000)-4,53,650=26,350
1600Z-5,65,650=26,350
1600Z=26,350+5,65,650
1600Z=5,92,000
And, Z=5,92,000/1600
Z=370
Therefore selling price of per unit of video game is $370
Exercise 6.21 a-b
a) Calculation of required sales to meet the target operating income during 2020:
Let the Sales Revenue be Z.
|
PARTICULARS |
AMOUNT (In $) |
|
Sales Revenue (A) |
Z |
|
Less: Variable Cost (Zx30%) (B) |
0.30Z |
|
Contribution Margin (C=(A-B)) |
0.70Z |
|
Fixed Cost (D) |
38,980 |
|
Target Operating Income (E-(C-D)) (Given Figure) |
1,58,000 |
Now, C-D=E
Therefore,
0.70Z-38,980=1,58,000
0.70Z=1,58,000+38,980
0.70Z=1,96,980
And, Z=1,96,980/0.70
Z=2,81,400
Therefore required sales to meet the target operating income during 2020=$2,81,400
b) Summary of Income Statement for 2020 based on answer to Part a:
|
PARTICULARS |
AMOUNT (In $) |
|
Sales Revenue (A) |
2,81,400 |
|
Less: Variable Cost (2,81,400x30%)(B) |
84,420 |
|
Contribution Margin (C=(A-B)) |
1,96,980 |
|
Fixed Costs (D) |
38,980 |
|
Operating Income (E=(C-D)) |
1,58,000 |
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