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MCQ Questions for CBSE Class 12 with Answers
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Linear programming Class 10 MCQ Questions With Answers
1.
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
2.
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
3.
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.
x + y ≥ 25x + y ≤ 8
100x + 25 y ≤ 1002x + 8y ≤ 14
x + y ≥ 1008x + 25y ≤ 14
8x + 25y ≥ 100x + y ≤ 14
4.
Define Profit
Money you make, after expenses.
What you spend up front to create the product.
Vertices where the lines intersect.
The most, biggest profit possible.
5.
Which of the following inequalities matches the given graph?
x ≥ -1
x ≤ -1
x > -1
x < -1
6.
Which of the following is not a solution to this system of inequalities?
(0,-1)
(0,3)
(4,0)
(6,-2)
7.
Write the inequality
y>2/3x-3
y<2/3x-3
y≤2/3x-3
y≥2/3x-3
8.
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
9.
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
10.
Which system of inequality is shown?
y ≥ -x - 1y < x + 4
y < -x - 1 y ≥ x + 4
y > -x - 1 y ≥ x + 4
y > -x - 1 y ≥ x + 4
11.
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
12.
Write the system of inequalitiesCarlos 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≤3007.5x+5.5y≥2000
x+y<3007.5x+5.5y≥2000
x+y≤3007.5x+5.5y≤2000
x+y>20007.5x+5.5y≤300
13.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
x + y = 33y = 2x - 3
x + y = 33x = 2y - 3
x + y = 33x = 3 - 2y
x + y = 3x = 33 - 2y
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