# Math Help - integral ???

1. ## integral ???

1. A company estimates that the marginal cost (in dollars per item) of producing x items is 1.93 - 0.002x. If the cost of producing one item is 558, find the cost of producing 100 items.

2. Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

3. Consider the given integral.
(a) Find an approximation to the integral G using a Riemann sum with right endpoints and n = 8.

(b) If f is integrable on [a, b], the following equation is correct.
Use this to evaluate the integral G.

4.Evaluate the integral.
5. Evaluate the integral.

2. Originally Posted by calchurtsmybrain
1. A company estimates that the marginal cost (in dollars per item) of producing x items is 1.93 - 0.002x. If the cost of producing one item is 558, find the cost of producing 100 items.
The additional cost $c(m)$ of the $m$-th item produced ( $m>1$) is $1.93-0.002 m$.

Thus the total cost of producing $m$ items is:

$C(m) = \sum_{i=1}^m c(i) = c(1) + \sum_{i=2}^m (1.93-0.002 i)$

You are given that $c(1)=558$.

RonL