Linear Inequalities with Constraints

Your electronics store sells two types of portable CD players. The first type, A cost $70 and you make $20 profit on each one. The second type ,B costs $60 and you make a $35 profit on each one. You expect to sell at least 50 CD players this month and you need to make at least $1100 profit on them. You must order at least one of each type of player. How many of each type of player should you order to minimize your cost?

• 1 A player, 1 B player

• 1 A player, 49 B players

• 49 A players, 1 B player

• 20 A players, 30 B players

• (-2,-2)

• (-2-,2)

• (4-,2)

• (2,-2)

Your electronics store sells two types of portable CD players. The first type, A cost $70 and you make $25 profit on each one. The second type ,B costs $60 and you make a $20 profit on each one. You expect to sell at least 50 players this month and you need to make at least $1100 profit on them. You must order at least one of each type of player. Which of the following expresses the cost function C and the constraints on the number of CD players of each type sold?

• 
• 
• 
• 

• 4

• 10

• 42

• 49

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

• P = 30x + 50y

• P = 50x + 30y

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

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

Tags

CCSS.HSA.REI.D.12

Objective quantity:

P = 30x + 50y

If the vertex /corner that maximizes profit is (0, 6), then

what is the profit?

• 400

• 280

• 300

• 240

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 gas, y is moped

• x is car, y is moped

• x is car, y is mileage

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

• feasible region

• feasible points

• the void

• objective function

Tags

CCSS.HSA.REI.D.12