Question

Marketing surveys conducted by the sales manager for a company determined that 2,000 power drills could be sold for $30 each, but 3,000 drills could be sold for $20 each. If the price for every drill sold decreases by 1 cent, how many drills can be sold for $22?

A. 833 drills
B. 834 drills
C. 835 drills
D. 836 drills

Answer 1

To find out how many drills can be sold for $22, we need to determine the price decrease per drill sold and then calculate the number of drills that can be sold for $22.

Step-by-step explanation:

To find out how many drills can be sold for $22, we need to determine the price decrease per drill sold. From the given information, we can calculate the price decrease as follows:

Price decrease = ($30 - $20) / (2,000 - 3,000) = $0.01 / 1,000 drills

Now, we subtract the price decrease from $22 until we reach a price below or equal to $20. The number of drills at each price can be calculated using the formula:

Number of drills = (Original price - New price) / Price decrease

Let's calculate the number of drills that can be sold for $22:

Number of drills = ($30 - $22) / $0.01 = 800 drills

Therefore, the correct answer is A. 800 drills can be sold for $22.