Question 1132566: The manager of the video department at a department store plans to purchase a large number of DVDs of a recent movie. One supplier is selling boxes of 20 DVD movies for $230, and a second supplier is selling boxes of 10 DVD movies for $180. Only complete boxes of DVD movies can be purchased.
a) If the manager can purchase boxes of DVD movies from either or both suppliers, determine the maximum number of DVD movies that can be purchased for $415. Indicate how many boxes of 20 and how many boxes of 10 will be purchased
b) How much will the DVD movies cost?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
$415 is only enough to buy at most one box of 20 DVDs for $230 from the first supplier.
If the number of boxes of 20 from the first supplier is 1, then there is $185 left; since the boxes of 10 from the second supplier cost $180, it is possible to buy one box from each supplier, spending a total of $410 and getting 30 DVDs.
If no boxes of 20 are bought from the first supplier, the maximum number of boxes from the second supplier that can be bought is 2, giving 20 DVDs for $360. That is fewer DVDs, with more money unspent, than the other option.
ANSWERS: one box of 20 and one box of 10, for a total of 30 DVDs, with a cost of $410.
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