The town librarian bought a combination of new-release movies on dvd for $20 and classic movies on dvd for $8. let x represent the 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? x = 8, y = 45 x = 10, y = 22 x = 16, y = 22 x = 18, y = 18

x = 16, y = 22.

We will solve the problem of linear programming. The case is simple, but we must still be accurate in doing so.

Given:

Question:

Which values of x and y could represent the number of new-release and classic movies bought?

The Process:

Because the number of goods must be positive, then

The total number of DVDs purchased is 20x + 8y (in USD) and must not exceed $500. Thus, we have the inequality

Let's examine one by one for each available option, whether it meets the inequality above.

Option A

This did not meet and was rejected.

Option B

It fulfills but then we will examine it again.

Option C

It fulfills but then we will examine it again.

Option D

This did not meet and was rejected.

Comparison of Option B and Option C

The librarian wanted to purchase as many DVDs as possible. Thus, values of x and y could represent the number of new-release and classic movies bought is .

Keywords: linear programming, the town librarian, a combination of new-release movies on DVD, classic, purchases, budget, as many DVDs as possible

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier