Linear Programming

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

• x + y ≤ 8
• x + y ≤ 6
• 2x + 3y ≤ 6
• x + y ≤ 10

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

It is a method for finding a maximum or minimum value of some quantity, given a set of constraints.

• Operations research

• Maximization

• Minimization

• Linear programming

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

• (7,4)

• (3,10)

• (10,1)

• (8,5)

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.  

• x+y≤300
  7.5x+5.5y≥2000
• x+y<300
  7.5x+5.5y≥2000
• x+y≤300
  7.5x+5.5y≤2000
• x+y>2000
  7.5x+5.5y≤300

_________ are the restrictions or limitation imposed on the linear programming problem.

• Cost

• Variables

• Constraints

• Profit

Tags

CCSS.8.EE.C.8B

Which of the following is a constraint in a linear programming problem?

• Variable definition

• Resource limitation

• Profit maximization

• Objective function

Name the dog.

• Sheltie

• Pembroke Welsh Corgi

• Border Collie

• Basset Hound

Tags

CCSS.RI.11-12.5

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.5

CCSS.RI.9-10.5