Question

A recycling plant gets $20 for each computer they recycle. It costs the plant $2.50

per mile to pick up a computer. They offer to pick up any computers in a 50 mile
radius for free as long as the plant makes at least $100 profit off the computers
they pick up. Of the following, which combination of number of computers and
distance in miles would qualify for free delivery?

A. Mary has 2 computers to recycle 40 miles away.
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B. An SAT prep center has 6 computers to recycle 15 miles away.

C. A restaurant has 9 computers to recycle 30 miles away.

D. Chuck's company has 65 computers to recycle 55 miles away.

Answer 1

The answer is C. A restaurant has 9 computers to recycle 30 miles away. This combination would qualify for free delivery because the recycling plant would make a profit of $180 - $150 = $30, which is more than the minimum requirement of $100. To calculate the profit, we multiply the number of computers by the price per computer, and then subtract the cost of transportation, which is the distance in miles times the cost per mile. The other combinations would not qualify for free delivery because they would either make less than $100 profit or exceed the 50 mile radius. Here is a table that shows the profit for each combination:

As you can see, only combination C meets the criteria for free delivery.