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Linear Programming Test 1

Authored by SAMUEL ASIBAH

Mathematics

9th Grade

Used 1+ times

Linear Programming Test 1
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35 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

When graphing constraints, what do you call the area where all the shading overlaps?

the answer

the feasible region

the void

the objective function

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Which vertex maximizes the profit?

(0,0)

(6,2)

(8,0)

(0,6)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?

maximum value at (5, 4); 32

maximum value at (0, 8); 16

maximum value at (9, 0); 27

maximum value at (0, 0); 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

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

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

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