Learning Targets: Graph multiple inequalities using x and y intercepts, test a point to determine the feasible and non feasible region, and shade and label the feasible and non feasible region

Warm Up: p. 149 #12a

Goals:
• Go Over L2I1 MIQ
• Go over the rest of the game problem: critical points, objective function, solving linear programming problems
• Work on L2I2 calendar work

HW: Finish your groups calendar work not finished in class.

Reminder: L2I2 MIQ tomorrow. Be able to complete a problem like what’s in the investigation. In order to retake the MIQ, make sure you have completed everything from the ENTIRE row labeled Investigation 2 including all the investigation work and the MIQ practice problem.

Reflection: If you need help with any of these things, just ask.


To Find Critical Points: Look at your shading. One side of the critical point should have all your colors shaded and the other side should have only one, two, or no colors shaded.

Prove x and y intercepts are Critical Points: If you put your inequalities in y= form to graph the lines, show me a table snapshot of the x and y-intercepts. If you used x and y-intercepts to graph the lines, then you have already shown all the work you need.

Prove Intersection Points are Critical Points: If you put your inequalities in y= form to graph the lines, show me a table snapshot of the intersection points. If you used x and y-intercepts to graph the lines, use matrices to solve the system of equations.

If a Critical Point Lies on a Horizontal or Vertical Line You Graphed: Use the x or y value from the horizontal or vertical line you graphed and plug it into the other intersecting equation to solve for the missing variable. For example, if you graphed x=3 and 2x+5y=8 you would plug 3 in for x and solve for y in the 2x+5y=8 equations.

Writing the Objective Equation: This information is usually the last bullet, last sentence in a paragraph, or a separate part of the problem. This is what you are maximizing or minimizing.

Maximizing or Minimizing the Objective Equation: Plug in every critical point to the objective equation and check to see which point maximizes or minimizes the objective. That point is the solution for the whole problem. Celebrate! You are finished!

x and y intercepts