Based on the profit function given, the level of production that yields the maximum profit is 55 units. The maximum profit is $2,025.
What is the maximum profits unit?
With a profit function:
=-x² + 110x - 1,000
Using a parabola function, we know:
= -b / 2a
The maximum units is:
= -110 / (-2 x 1)
= 55 units
The maximum profit is:
= -(55)² + (110 x 55) - 1,000
= $2,025
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