Linear Programming

The FFA Club plans to grow Christmas trees as a project. There is a 1200 square foot plot of land available at their school to grow balsam fir and Douglas fir trees. There are only 576 pounds of fertilizer available.

The profit for each balsam fir tree is $15 and $18 for each Douglas fir tree.

Which of the following is an Objective Function that relates maximum profit?

• P = x + y

• P = 576x + 1200y

• P = 15x + 18y

• P = 1200x + 576y

Tags

CCSS.HSA.CED.A.3

Which corner point will maximize the Objective Function
 $Z\ =\ 5x\ +\ 2y$  

• (7,4)

• (3,10)

• (10,1)

• (8,5)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

What do you call the area where all the shading overlaps?

• the answer

• the feasible region

• the void

• the objective function

Tags

CCSS.HSA.REI.D.12

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

Which vertex maximizes the profit?

• (0,0)

• (6,2)

• (8,0)

• (0,6)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

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

 $x+y\le8$    

 $5x-7y\ge-14$  

 $y\ge2$          

• (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)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

Maximize P = 3x + y with the following constraints:

 $x+y\ \le300$ 

 $y\ \ge100$  

 $x\ \le150$  

• x = 0, y = 300

• x = 150, y = 150

• x = 100, y 150

• x = 150, y = 100

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12