Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing <em>x</em> units of a certain product is:
We want to find the number of units manufactured at a cost of $8350. Therefore:
Subtract 8350 from both sides:
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
In this case, a = 1, b = -15, and c = -8316. Thus:
Simplify:
Evaluate:
Therefore, our solutions are:
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.