3.5 Cont. Warm-up (IN) Learning Objective: to continue linear programming 1. Solve the system: 2. Graph the feasible region and list the coordinates of the vertices No solution (0,20) (2,10) (8,4) (16,0)

Notes Ex 1 – Burton produces snowboards and jackets and sells them to stores. They will ship no more than 100 boards and jackets per day. The stores guarantee they will sell at least 10 and no more than 60 boards and at least 20 jackets per day. Burton makes a profit of $10 per board and $12 per jacket. Learning Objective: to continue linear programming c. List the coordinates of the feasible region. (10,20), (60,20), (60,40), (10,90) d. Write an objective function for the total profit from the sales of boards and jackets.

Corner Point Principal - Learning Objective: to continue linear programming The max and min values of the objective function only occur at the vertices of the feasible region. e. Find the profit at each vertex. (10,20) (60,20) (10,90) (60,40) Max Profit! 10 boards and 90 jackets

Learning Objective: to continue linear programming Ex 2 – Page 194 #37

Learning Objective: to continue linear programming Ex 3 – Page 192 #32

HW – p. 193 #33-36 Out – explain the steps used to solve a linear programming problem. Summary – I hope I can remember… Test Wed!