To estimate how many statues must be made for the average cost per statue to fall below $30, we need to consider the total cost of making the statues.
Let's break it down:
- The cost of the mold is $300.
- The cost of materials for each statue is $22.
To find the number of statues needed, we can set up an equation:
Total Cost = (Number of Statues * Cost per Statue) + Mold Cost
We want the average cost per statue to fall below $30, so we can set up the equation:
$30 > (Total Cost / Number of Statues)
Now, let's substitute the values we have:
$30 > ((Number of Statues * $22 + $300) / Number of Statues)
Simplifying the equation:
$30 > ($22 + $300 / Number of Statues)
To find the number of statues needed, we can rearrange the equation:
Number of Statues > ($322 / ($30 - $22))
Number of Statues > ($322 / $8)
Number of Statues > 40.25
Therefore, to have the average cost per statue fall below $30, you would need to make at least 41 statues.
