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vodka [1.7K]
3 years ago
13

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t

he number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
A= x = 8, y = 45
B= x = 10, y = 22
C= x = 16, y = 22
D= x = 18, y = 18
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

answer: could be both (B)and(C)

Step-by-step explanation:

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L_y=10+10\lambda y=0\implies1+\lambda y=0

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5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

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There are two critical points, at which we have

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