00:01
For this, rubble me are given the marginal revenue in dollars per unit defined by r prime of q, which is equal to 200 minus 12 times the square root of q.
00:09
For the first part, we are to graph r prime of q.
00:13
Using decimals, this is our graph.
00:15
Now in part b, we are to estimate the total revenue if sales are 100 units.
00:21
So that means we're taking the estimate of the integral from 0 to 100 of r prime of q.
00:30
Dq.
00:31
And based on this graph, it is the region banded by r prime over the interval 0 to 100.
00:38
So to estimate this one, we will use midpoint rule.
00:42
And then we're going to use n equals five subintervals.
00:46
So we have integral from 0 to 100 r prime of q, dq...