Consider the total cost and total revenue functions below for a production line, where production quantity varies between 1 and 15 units per hour:

Total cost function: ; Total revenue function: , where 1, 2, 3, ..., 15.

1. Fill out the blanks in the table below.

Q	TC	MC	TR	MR
1		---		---
2
3
4
5
6
7
8
9
10
11
12
13
14
15

Note: Q is output quantity units (per hour), TC is total cost (in dollars), MC is marginal cost (in dollars), TR is total revenue (in dollars), and MR is marginal revenue (in dollars).

1. Plot the marginal cost and marginal revenues in a coordinate system. Put the variations in output quantity units on the horizontal axis. Put the variations in marginal revenue and marginal cost, both of which are measured in dollars, on the vertical axis. Put your plot below.
2. Using marginal analysis, find the profit-maximizing output (Q*). Compute the amount of maximum profit (measured in dollars per hour).
3. As noted previously, the above total cost and revenue functions are for one production line. Consider a production plant that has 100 production lines, working for 21 hours per day, 6 days per week, and 52 weeks per year. Compute the maximum annual profit for this production plant.