Sony Star Electronics is a leading electronics manufacturer in Pakistan that produces LEDs and PlayStations. The company aims to meet customer expectations through innovative, high-quality products delivered on time. Since inception, Sony Star has contributed to Pakistan's engineering sector by producing engineers, skilled workers, and technicians. The document then provides sales data from 2007-2016 and uses this to analyze the company's costs, revenues, profit, breakeven point, and minimum costs over this period.

1. Project: Business Math
Presented by: Ahmed Raza Ali
Registration No: G2F16ASOC0022
Presented to: Prof. Mohammad Moavia
University of Central Punjab
Gujar Khan Campus.

2.  Sony Star electronic is a Pakistan
multinational corporation headquartered in
Pakistan Karachi Its diversified business
includes consumer and professional LED
and gaming Play station. The company is one
of the leading manufacturers of electronic
products for the consumer and professional
markets. Sony Star electronics is ranked better
companies of Pakistan

3.  Sony Star Electronic is vision to be world class
electronic , meeting customer Expectations
through Excellent Product on-time
performance innovative products and provide
high quality.

4. “Change people Life”.
 Since its inception, sony Star electronics has been
operating keeping in view the philosophy of
innovation and advancement. It has consistently
contributed in the development of engineering
sector in Pakistan, keeping in mind the National
interest and Consumer welfare. It has introduced a
range of quality electrical EQUIPMENTS and
home appliancs by producing hundreds of
engineers, skilled workers and technicians through
its apprenticeship schemes and training
programmes

5. 2007 -2009
PRODUCTS cost price Sale PRICE
LED 10000 15,000
PLAY STATION 10000 15,000

6. PRODUCTS Cost price Sale PRICE
LED 11000 16,000
PLAY STATION 11000 16,000

7. PRODUCTS Cost price Sale PRICE
LED 12000 17,000
PLAY STATION 12000 17,000

8. Years Fixed cost Variable
cost
Total cost Per unit
price
Unit
sold
2007 10,00,000 39,000 10,39000 15,000 26
2008 10,00,000 43,000 10,43000 15,000 29
2009 10,00,000 45,000 10,45000 15,000 30
2010 12,00,000 480,000 16,80000 16,000 30
2011 12,00,000 496,000 1696000 16,000 31
2012 12,00,000 512,000 1712000 16,000 32
2013 15,00,000 544,000 2044000 17,000 32
2014 15,00,000 561,000 2061000 17,000 33
2015 15,00,000 578,000 2078000 17,000 34
2016 15,00,000 595,000 2095000 17,000 35

9. Total cost = Fixed cost + Variable cost
Fixed Cost= 10,00,000 Rupees
Variable Cost = 10,000x
Cost Function:
C(x) = 10,000x+10,00,000
Price:
15,000 Rupees
Revenue Function:
15,000x
Revenue Function:
15,000x
15000_
12000_
9000_
6000_
3000_
2007 2008 2009

10. For breakeven point, the revenue of product is
equal to the cost of the product.
So,
Revenue=Cost
15000x = 10,000x+10, 00,000
15,000x – 10,000x = 10, 00,000
5000x= 10, 00,000
x= 200
When a company will sale 200 play station and
LEDs, it will reach the break-even point.

11. Break even:
250k_
200k_
150k_
100k_
50k_
100 200 300 400 500

12. As we know that,
Profit = Revenue – Cost
P(x) = 15,000x – (10,000x+10,00,000)
P(x) = 5000x – 10,00,000
P(x)= 200
In linear function, the max profit is equal to the
number of products that is sold. Mathematically, it
can be written as:
MAX PROFIT = x ≥ 200

13. Profit function:
200k_
150k _
100k _
50k _ 5000x-10,00,000
200 400 600 800 1000
-50k _
-100k_
-150k_
-200k_

14. Cost of product will minimize:
C(x) = 10,000x+10,00,000
By taking derivative, we will have its minimum cost.
=
𝑑
𝑑𝑥
(10,000𝑥 + 10,00,000)
=
𝑑
𝑑𝑥
(10,000𝑥) +
𝑑
𝑑𝑥
(10,00,000)
= 10,000
𝑑
𝑑𝑥
𝑥 + 0
=10,000 (1)
=10,000
Therefore,
10,000 is the minimum cost of the product.

15. Cost function:
250k _ C(x)=10,000X+10,00,000
200k _
150k _
100k _
50k_
2007 2008 2009

16. Thanks you...