(04/28) ALG 2 Unit 6B: Solving Systems of Inequalities Day 2

(04/28) ALG 2 Unit 6B: Solving Systems of Inequalities Day 2

Today we will focus on Linear Programming

Multiple Choice

Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?

• maximum value at (5, 4); 32

• maximum value at (0, 8); 16

• maximum value at (9, 0); 27

• maximum value at (0, 0); 0

Multiple Choice

Solve each of the following systems of linear inequalities a graphing approach. Verify using a graphing calculator. Which of following are the vertices?

 $x+y\le8$    

 $5x-7y\ge-14$  

 $y\ge2$          

• (2, 0), (4, 5), (6, 0)

• (2, 0), (3, 5), (0, 6)

• (0, 2), (3.5, 4.5), (6, 2)

• (0, 0), (3, 5), (6, 0)

Multiple Choice

Given the objective function: P = 30x + 50y

Which vertex maximizes the profit?

• (0,0)

• (6,2)

• (8,0)

• (0,6)

Multiple Choice

Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?

• P = 30x + 50y

• P = 50x + 30y