(03/13) Unit 6: Linear Programming Grading Assignment

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

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

• (0, 0), (0, 6), (6, 2), (8, 0)
• (0, 0), (6, 0), (2, 6), (0, 8)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

CCSS.HSA.REI.C.6

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

• 2x + 3y ≤ 18
• x + y ≤ 6
• x + y ≤ 9
• 3x + 2y ≤ 18

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Objective quantity:
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?

• 300
• 280
• 400
• 240

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped.  The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. What are the variables you need to define?

• x is gas, y is mileage
• x is car, y is moped
• x is gas, y is moped
• x is car, y is mileage

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

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

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.12

Other than the origin, (0,0) for the feasible region shown in blue, how many vertices are there?

• 1

• 2

• 3

• 4

Tags

A2.ACE.3

If the feasible region is as shown, which critical point will

max 5x + 2y

• (1,3)

• (0,4)

• (2.5, 0)

• (11, 3)

Tags

A2.ACE.3

A furniture company produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of hours of carpentry work and a certain number of labour hours in the painting department. Each table takes 4 hours of carpentry and 2 hours of painting. Each chair requires 3 hours of carpentry and 1 hour of painting. During the current production period, 240 hours of carpentry time are available and 100 hours in painting is available. Each table sold yields a profit of $70.00; each chair produced is sold for a $50.00 profit. Find the best combination of tables and chairs to manufacture in order to reach the maximum profit.

What are the critical points for this problem?

• (0,100), (30,40), and (50,0)

• (0,80), (30,40), and (60,0)

• (0,80), (30,40), and (50,0)

• (0,80), and (30,40)

Tags

A2.ACE.3