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example 2 Average Cost Chapter 6.6 The average cost per set for the production of 42-inch plasma televisions is given by where x is the number of hundreds of units produced. Find the number of television sets that must be produced to keep the average cost to at most $590 per set. 2 5000 80 () x x Cx x 2009 PBLPathways
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example 2. Average Cost. Chapter 6.6. The average cost per set for the production of 42-inch plasma televisions is given by where x is the number of hundreds of units produced. Find the number of television sets that must be produced to keep the average cost to at most $590 per set. - PowerPoint PPT Presentation
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Page 1: example 2

example 2 Average Cost

Chapter 6.6

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2009 PBLPathways

Page 2: example 2

2009 PBLPathways

25000 80( )

x xC x

x

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

Page 3: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 4: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 5: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 6: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 7: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 8: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 9: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 10: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 11: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 12: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 13: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 14: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

2

2

2

5000 80590

5000 80590 0

5000 80 5900

x x

x

x x

x

x x x

x x

2 510 50000

10 5000

x x

x

x x

x

0 10 500

10 500x

Page 15: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

x

y25000 80590

x x

x

2 590y

2

2

5000 80x xy

x

Page 16: example 2

2009 PBLPathways

The average cost per set for the production of 42-inch plasma televisions is given by

where x is the number of hundreds of units produced. Find the number of television setsthat must be produced to keep the average cost to at most $590 per set.

25000 80( )

x xC x

x

x

y25000 80590

x x

x

2 590y

2

2

5000 80x xy

x

(500, 590)

(10, 590)10 500x