SOLUTION: 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 25 DVD movies for $240, and a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 25 DVD movies for $240, and a      Log On


   

Question 1131570: 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 25 DVD movies for $240, and a second supplier is selling boxes of 14 DVD movies for $170. 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 25 and how many boxes of 14 will be purchased.
How many box(es) of 25 and
How many box(es) of 14
b) How much will the DVD movies cost?
They will cost; $


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The price per movie is much lower for the boxes of 25, so the manager should buy as many of those as possible.

At $240 per box, he can only buy one of them with $415.

Buying one box of 25, he has $415-$240 = $175 left, which is enough (just barely) to buy one box of 14, since those boxes cost $170 each.

So he can buy one box of each, for a total of 39 movies, for a total of $410.

If he doesn't buy any of the boxes of 25, his $415 is only enough to buy two boxes of 14, giving him only 28 movies. So the one box of each is the better purchase.