ua Kali Products Ltd has been in operation for the last 10 years. Its annual revenue and cost functions take the form of quadratic functions. The following data was obtained from the records of the company for three years 2005, 2006 and 2007 2006 2007 2008 Units produced and sold ‘000’ 5 10 15 Revenue (Sh.’000) 1900 3600 5100 Cost ( Sh. ‘000) 7525 7100 6725 Determine the revenue and cost functions of the company

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Chapter2: Second-order Linear Odes
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Jua Kali Products Ltd has been in operation for the last 10 years. Its annual revenue and cost functions take the form of quadratic functions. The following data was obtained from the records of the company for three years 2005, 2006 and 2007 2006 2007 2008 Units produced and sold ‘000’ 5 10 15 Revenue (Sh.’000) 1900 3600 5100 Cost ( Sh. ‘000) 7525 7100 6725 Determine the revenue and cost functions of the company
Quadratic equations can be solved using two methods
Factorisation
i.
-b±vb? -4ạc
Formula x =
2a
Ехamples
Solve the equation
I 2x -5x+3=0
2. x-9x+14=0
3.
3x+7=10
4 4r -10x+6=0
5. Jua Kali Products Ltd has been in operation for the last 10 years. Its annual rever
and cost functions take the form of quadratic functions. The following data
obtained from the records of the company for three years 2005, 2006 and 2007
2006
2007
2008
Units produced and sold 000'
Revenue (Sh. '000)
Cost ( Sh. *000)
10
15
1900
3600
5100
7525
7100
6725
Determine the revenue and cost functions of the company
6. The following information relate to Kathurima Ltd, a dealer in standard woo0
furniture on the outskirts of the city of Nairobi. The company realized profits of
120.000 from 7 tables, Sh. 124,000 from 9 tables and Sh. 113,000 from 4 tables m
Page 10 of 36
By Kimutai Glady:
BMS 100 MANAGEMENT MATHS I NOTES
and sold. Kathurima has now approached you for assistance in forecasting fu
profits. The profit function is believed to be quadratic in nature. What wil
Kathurima Ltd's profit function to be used in forecasting?
Transcribed Image Text:Quadratic equations can be solved using two methods Factorisation i. -b±vb? -4ạc Formula x = 2a Ехamples Solve the equation I 2x -5x+3=0 2. x-9x+14=0 3. 3x+7=10 4 4r -10x+6=0 5. Jua Kali Products Ltd has been in operation for the last 10 years. Its annual rever and cost functions take the form of quadratic functions. The following data obtained from the records of the company for three years 2005, 2006 and 2007 2006 2007 2008 Units produced and sold 000' Revenue (Sh. '000) Cost ( Sh. *000) 10 15 1900 3600 5100 7525 7100 6725 Determine the revenue and cost functions of the company 6. The following information relate to Kathurima Ltd, a dealer in standard woo0 furniture on the outskirts of the city of Nairobi. The company realized profits of 120.000 from 7 tables, Sh. 124,000 from 9 tables and Sh. 113,000 from 4 tables m Page 10 of 36 By Kimutai Glady: BMS 100 MANAGEMENT MATHS I NOTES and sold. Kathurima has now approached you for assistance in forecasting fu profits. The profit function is believed to be quadratic in nature. What wil Kathurima Ltd's profit function to be used in forecasting?
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