Math 3 Warm Up Sept. 11, 2012Solve for y in each equation or inequality.

1. 2x – y = 4 2. 3x + 2y = 7 3. -2y - 3x = 6

4. 5.

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Sept. 11, 2012

Example 1: Solve the system of linear inequalities by graphing:

Example 2: Solve the system of linear inequalities by graphing and name the coordinates of the vertices of the polygonal

convex set:

Example 3: Find the maximum and minimum values of for the polygonal convex set determined by the following inequalities.

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Sept. 12, 2012

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Sept. 13, 2012

1. The profit on each set of CDs that is manufactured buy MusicMan, Inc., is $8. The profit on a single CD is $2. Machine A and B are used to produce both types of CDs. Each set takes nine minutes on Machine A and three minutes on Machine B. Each single takes one minute on Machine A and one minute on machine B. If Machine A is run for

54 minutes and Machine B runs for 42 minutes, determine the combination of CDs that can be manufactured during the time period that mist effectively generates profit within the given constraints.

Real Word Applications of Systems of Equations

1. Define VARIABLES

2. Write the CONSTRAINTS as a system of inequalities. (Do NOT use what is to be max or min in the inequalities!)

3. Graph the system and find the vertices of the POLYGON.

4. Write an expression whose value is to MAXIMIZED or MINIMIZED.

5. Substitute values from the vertices into the expression.

6. Select the greatest or least result.

Real Word Applications of Systems of Equations

2. Mrs. Wood’s Biscuit Factory makes two types of biscuits, Biscuit Jumbos and Mini Mini Biscuits. The oven can cook at most 200 biscuits per day. The income from

Jumbos is 10 cents each and the income from Minis is 8 cents each. Jumbos require 2 ounces of flour while minis require 1 ounce of flour. There are 300 ounces of flour available. How many of each type should be baked to earn the greatest income?

Real Word Applications of Systems of Equations

1. Define VARIABLES

2. Write the CONSTRAINTS as a system of inequalities. (Do NOT use what is to be max or min in the inequalities!)

3. Graph the system and find the vertices of the POLYGON.

4. Write an expression whose value is to MAXIMIZED or MINIMIZED.

5. Substitute values from the vertices into the expression.

6. Select the greatest or least result.

Real Word Applications of Systems of Equations

Assignment:2-7 Study Guide and Practice