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3.4 Linear Programming

Quiz by Andrea Santos

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4 questions
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  • Q1

    What are the vertices of the feasible region with constraints

    𝑦≤−3𝑥+9 

    𝑦≤−2𝑥+8   

    𝑥≥0     

    𝑦≥0                                          Select all that apply.

    (0, 8)
    (3, 0)
    (1, 6)
    (0, 0)

    (1, 1)

    (0, 9)

    300s
  • Q2

    What is the graph of the feasible region with constraints? 

    𝑦≥2𝑥+4   

    𝑦≤−2𝑥+10   

    𝑥≥0   

    𝑦≥0

    Answer Image
    Answer Image
    Answer Image
    Answer Image
    300s
  • Q3

    A T-shirt company sells $10 and $20 shirts and will make at most $1000 over a weekend. They want to sell at least 60 shirts. What are the vertices of the feasible region? Select all that apply.

    (100, 0)
    (20, 40)
    (0, 60)

    (60, 0)

    (40, 20)

    (0, 100)

    300s
  • Q4

    What is the maximum value of the objective function, 𝑃=2𝑥+4𝑦, under the following constraints?

    𝑦≤−2𝑥+13 

    𝑦≥3𝑥−12   

    𝑥≥0   

    𝑦≥0

    52

    8

    22

    0

    300s

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