example 4 Minimizing Cost

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Presentation transcript:

example 4 Minimizing Cost The cost for producing Champions golf hats is given by the function Find the vertex of this function. Is the vertex a maximum or minimum? Interpret the vertex in the context of the application. Graph the function using a window that includes the vertex. Describe what happens to the function between x = 0 and the x-coordinate of the vertex. What does this mean in the context of the application? Chapter 3.1 2009 PBLPathways

The cost for producing Champions golf hats is given by the function Find the vertex of this function. Is the vertex a maximum or minimum? Interpret the vertex in the context of the application. Graph the function using a window that includes the vertex. Describe what happens to the function between x = 0 and the x-coordinate of the vertex. What does this mean in the context of the application?

The cost for producing Champions golf hats is given by the function Find the vertex of this function. h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Find the vertex of this function. h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Find the vertex of this function. h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Find the vertex of this function. h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Find the vertex of this function. h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Find the vertex of this function. h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Is the vertex a maximum or minimum? Interpret the vertex in the context of the application. a = 0.2 h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Is the vertex a maximum or minimum? Interpret the vertex in the context of the application. a = 0.2 h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Is the vertex a maximum or minimum? Interpret the vertex in the context of the application. a = 0.2 h = 40 k = 200 Vertex is at (40, 200)

The cost for producing Champions golf hats is given by the function Graph the function using a window that includes the vertex. (40, 200)

The cost for producing Champions golf hats is given by the function Graph the function using a window that includes the vertex. (40, 200)

The cost for producing Champions golf hats is given by the function Graph the function using a window that includes the vertex. (40, 200)

The cost for producing Champions golf hats is given by the function Describe what happens to the function between x = 0 and the x-coordinate of the vertex. What does this mean in the context of the application? Decreasing (40, 200)

The cost for producing Champions golf hats is given by the function Describe what happens to the function between x = 0 and the x-coordinate of the vertex. What does this mean in the context of the application? Increasing (40, 200)