
3.4 Linear Programming
Quiz by Andrea Santos
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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
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