Linear+Programming(Applied30S)

Dear Grade 11 students,

Please find bellow the skills and concepts needed in order to understand Linear Programming

1. Investigate the graph of a linear inequality 2. Graph a linear inequality in two variables with and without technology 3. Solve graphically a system of linear inequalities in two variables with and without technology 4. Develop linear systems of inequalities to model problem situations 5. Apply linear programming to find optimal solutions to decision-making

Assignments: 1. Solve exercises 1-50 from the practice sheet.

2. On the review sheet you will find Solve and check(1-8), Solve(9-16), Solve & Graph the solution(17-22) Solve(23, 30), Graph the inequality(35 - 50), Solve each system by graphing(63, 72).

3. Project(note: don't start this project until you don't write and solve in your notebook example nr. 2/page 182. Do this example step by step so you'll be able to understand reverse shading. As you can observe you have to move the arrow in front of the function and switch in the wanted position(upward or downward). As you can see from the example the half-planes overlap and it's quite difficult to distinguish the regions. You just have to reverse the shadows.)

Please find attached couple of examples:



media type="youtube" key="6oehycq06vo" height="385" width="480" align="center"

media type="youtube" key="M4K6HYLHREQ" height="385" width="480" align="center"

Linnear Programming -additional examples

[]