Answer:
Step-by-step explanation:
Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars.
Profit function = Revenue - cost
So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.
Profit function of x
=
The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,
which would be
in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with and ending with
. So in sigma notation, this series is