12/26/2015 Perkins Honors Precalculus Day 10 Sections 10.8 and 10.9.

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Presentation transcript:

12/26/2015 Perkins Honors Precalculus Day 10 Sections 10.8 and 10.9

Graphing Inequalities Graph the solution set for shade below shade above Shade above Shade below (-2,3) (1.5,1.25) On your calculator: Move the cursor to the left of y 1 and use the enter key to change its symbol. The INTERSECT function will still find intersection points.

Linear Programming A nutrition center sells health food to mountain climbing teams. The Trailblazer Mix contains one pound of corn cereal mixed with four pounds of wheat cereal and sells for $9.75. The Frontier Mix contains two pounds of corn cereal mixed with three pounds of wheat cereal and sells for $9.50. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. How many packages of each mix should be sold for the center to maximize its income? What is its maximum income? What are we really trying to do? maximize income What are the limitations/constraints? corn wheat x = trailblazer mix y = frontier mix x and y must not be less than zero!

2 graphing options Shade the solution set Shade everything but the solution set The vertices of the region created by the solution set are the potential solutions. y-intercept CALC:VALUE:0 Be sure you use the correct line! (0,0) (0,30) (30,0) x-intercept CALC:ZERO Be sure you use the correct line! intersection CALC:INTERSECT (12,24) Test each vertex in the income equation to find the maximum: (0,30) (0,0) (12,24) (30,0) The center should sell 12 Trailblazer and 24 Frontier for a maximum income of $345.

Perkins Honors Precalculus Day 10 Sections 10.8 and 10.9

Graphing Inequalities Graph the solution set for On your calculator:

Linear Programming A nutrition center sells health food to mountain climbing teams. The Trailblazer Mix contains one pound of corn cereal mixed with four pounds of wheat cereal and sells for $9.75. The Frontier Mix contains two pounds of corn cereal mixed with three pounds of wheat cereal and sells for $9.50. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. How many packages of each mix should be sold for the center to maximize its income? What is its maximum income? What are we really trying to do? What are the limitations/constraints?

2 graphing options The vertices of the region created by the solution set are the potential solutions.