Linear Programming — Cumulative exam Answers

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21
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Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

A
f(x) = y + 3
B
f(x) = –y – 3
C
f(x) = –x + 3
D
f(x) = x – 3
22
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What is the value of w in the solution to the following system of linear equations?

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
23

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

Question illustration
A
5 albums and 2 singles
B
2 albums and 5 singles
C
2 albums and 10 singles
D
10 albums and 2 singles
24

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Question illustration
A
(1, –3)
B
(–1, 3)
C
(1, 3)
D
(–1, –3)
25

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 2.5), (1.5, 2), (3, 0)
B
(0, 0), (0, 4), (1.5, 2), (7.5, 0)
C
(0, 2.5), (1.5, 2), (4, 3)
D
(0, 4), (1.5, 2), (7.5, 0)

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